<html><head> <link rel="stylesheet" href="style.css" type="text/css"> <meta content="text/html; charset=iso-8859-1" http-equiv="Content-Type"> <link rel="Start" href="index.html"> <link title="Index of types" rel=Appendix href="index_types.html"> <link title="Index of exceptions" rel=Appendix href="index_exceptions.html"> <link title="Index of values" rel=Appendix href="index_values.html"> <link title="Index of modules" rel=Appendix href="index_modules.html"> <link title="Gsl_error" rel="Chapter" href="Gsl_error.html"> <link title="Gsl_ieee" rel="Chapter" href="Gsl_ieee.html"> <link title="Gsl_math" rel="Chapter" href="Gsl_math.html"> <link title="Gsl_complex" rel="Chapter" href="Gsl_complex.html"> <link title="Gsl_vector" rel="Chapter" href="Gsl_vector.html"> <link title="Gsl_vector_flat" rel="Chapter" href="Gsl_vector_flat.html"> <link title="Gsl_vector_complex" rel="Chapter" href="Gsl_vector_complex.html"> <link title="Gsl_vector_complex_flat" rel="Chapter" 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rel="Chapter" href="Gsl_interp.html"> <link title="Gsl_rng" rel="Chapter" href="Gsl_rng.html"> <link title="Gsl_qrng" rel="Chapter" href="Gsl_qrng.html"> <link title="Gsl_randist" rel="Chapter" href="Gsl_randist.html"> <link title="Gsl_integration" rel="Chapter" href="Gsl_integration.html"> <link title="Gsl_fit" rel="Chapter" href="Gsl_fit.html"> <link title="Gsl_multifit" rel="Chapter" href="Gsl_multifit.html"> <link title="Gsl_multifit_nlin" rel="Chapter" href="Gsl_multifit_nlin.html"> <link title="Gsl_root" rel="Chapter" href="Gsl_root.html"> <link title="Gsl_multiroot" rel="Chapter" href="Gsl_multiroot.html"> <link title="Gsl_min" rel="Chapter" href="Gsl_min.html"> <link title="Gsl_multimin" rel="Chapter" href="Gsl_multimin.html"> <link title="Gsl_diff" rel="Chapter" href="Gsl_diff.html"> <link title="Gsl_cheb" rel="Chapter" href="Gsl_cheb.html"> <link title="Gsl_sum" rel="Chapter" href="Gsl_sum.html"> <link title="Gsl_fft" rel="Chapter" href="Gsl_fft.html"> <link title="Gsl_monte" rel="Chapter" href="Gsl_monte.html"> <link title="Gsl_siman" rel="Chapter" href="Gsl_siman.html"> <link title="Gsl_odeiv" rel="Chapter" href="Gsl_odeiv.html"> <link title="Gsl_histo" rel="Chapter" href="Gsl_histo.html"> <link title="Gsl_stats" rel="Chapter" href="Gsl_stats.html"> <link title="Gsl_wavelet" rel="Chapter" href="Gsl_wavelet.html"> <link title="Gsl_bspline" rel="Chapter" href="Gsl_bspline.html"> <link title="Gsl_const" rel="Chapter" href="Gsl_const.html"> <link title="Gsl_sf" rel="Chapter" href="Gsl_sf.html"> <link title="Gsl_cdf" rel="Chapter" href="Gsl_cdf.html"><title>ocamlgsl 0.6.0 : Gsl_linalg</title> </head> <body> <code class="code"><span class="keyword">sig</span><br> <span class="keyword">external</span> matmult :<br> a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> ?transpa:bool <span class="keywordsign">-></span><br> b:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> ?transpb:bool <span class="keywordsign">-></span> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_matmult_mod"</span><br> <span class="keyword">external</span> _LU_decomp : <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> int<br> = <span class="string">"ml_gsl_linalg_LU_decomp"</span><br> <span class="keyword">external</span> _LU_solve :<br> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_LU_solve"</span><br> <span class="keyword">external</span> _LU_svx :<br> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> <span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_LU_svx"</span><br> <span class="keyword">external</span> _LU_refine :<br> a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> lu:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span><br> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> res:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_LU_refine_bc"</span> <span class="string">"ml_gsl_linalg_LU_refine"</span><br> <span class="keyword">external</span> _LU_invert :<br> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_LU_invert"</span><br> <span class="keyword">external</span> _LU_det : <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> int <span class="keywordsign">-></span> float = <span class="string">"ml_gsl_linalg_LU_det"</span><br> <span class="keyword">external</span> _LU_lndet : <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> float = <span class="string">"ml_gsl_linalg_LU_lndet"</span><br> <span class="keyword">external</span> _LU_sgndet : <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> int <span class="keywordsign">-></span> int<br> = <span class="string">"ml_gsl_linalg_LU_sgndet"</span><br> <span class="keyword">val</span> decomp_LU :<br> ?protect:bool <span class="keywordsign">-></span><br> [< <span class="keywordsign">`</span><span class="constructor">A</span> <span class="keyword">of</span> float array * int * int<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">AA</span> <span class="keyword">of</span> float array array<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">M</span> <span class="keyword">of</span> <span class="constructor">Gsl_matrix</span>.matrix<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">MF</span> <span class="keyword">of</span> <span class="constructor">Gsl_matrix_flat</span>.matrix ] <span class="keywordsign">-></span><br> <span class="constructor">Gsl_vectmat</span>.mat * <span class="constructor">Gsl_permut</span>.permut * int<br> <span class="keyword">val</span> solve_LU :<br> ?protect:bool <span class="keywordsign">-></span><br> [< <span class="keywordsign">`</span><span class="constructor">A</span> <span class="keyword">of</span> float array * int * int<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">AA</span> <span class="keyword">of</span> float array array<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">M</span> <span class="keyword">of</span> <span class="constructor">Gsl_matrix</span>.matrix<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">MF</span> <span class="keyword">of</span> <span class="constructor">Gsl_matrix_flat</span>.matrix ] <span class="keywordsign">-></span><br> [< <span class="keywordsign">`</span><span class="constructor">A</span> <span class="keyword">of</span> float array<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">V</span> <span class="keyword">of</span> <span class="constructor">Gsl_vector</span>.vector<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">VF</span> <span class="keyword">of</span> <span class="constructor">Gsl_vector_flat</span>.vector ] <span class="keywordsign">-></span><br> float array<br> <span class="keyword">val</span> det_LU :<br> ?protect:bool <span class="keywordsign">-></span><br> [< <span class="keywordsign">`</span><span class="constructor">A</span> <span class="keyword">of</span> float array * int * int<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">AA</span> <span class="keyword">of</span> float array array<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">M</span> <span class="keyword">of</span> <span class="constructor">Gsl_matrix</span>.matrix<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">MF</span> <span class="keyword">of</span> <span class="constructor">Gsl_matrix_flat</span>.matrix ] <span class="keywordsign">-></span><br> float<br> <span class="keyword">val</span> invert_LU :<br> ?protect:bool <span class="keywordsign">-></span><br> ?result:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> [< <span class="keywordsign">`</span><span class="constructor">A</span> <span class="keyword">of</span> float array * int * int<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">AA</span> <span class="keyword">of</span> float array array<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">M</span> <span class="keyword">of</span> <span class="constructor">Gsl_matrix</span>.matrix<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">MF</span> <span class="keyword">of</span> <span class="constructor">Gsl_matrix_flat</span>.matrix ] <span class="keywordsign">-></span><br> <span class="constructor">Gsl_vectmat</span>.mat<br> <span class="keyword">external</span> complex_LU_decomp : <span class="constructor">Gsl_vectmat</span>.cmat <span class="keywordsign">-></span> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> int<br> = <span class="string">"ml_gsl_linalg_complex_LU_decomp"</span><br> <span class="keyword">external</span> complex_LU_solve :<br> <span class="constructor">Gsl_vectmat</span>.cmat <span class="keywordsign">-></span><br> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.cvec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.cvec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_complex_LU_solve"</span><br> <span class="keyword">external</span> complex_LU_svx :<br> <span class="constructor">Gsl_vectmat</span>.cmat <span class="keywordsign">-></span> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> <span class="constructor">Gsl_vectmat</span>.cvec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_complex_LU_svx"</span><br> <span class="keyword">external</span> complex_LU_refine :<br> a:<span class="constructor">Gsl_vectmat</span>.cmat <span class="keywordsign">-></span><br> lu:<span class="constructor">Gsl_vectmat</span>.cmat <span class="keywordsign">-></span><br> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span><br> b:<span class="constructor">Gsl_vectmat</span>.cvec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.cvec <span class="keywordsign">-></span> res:<span class="constructor">Gsl_vectmat</span>.cvec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_complex_LU_refine_bc"</span> <span class="string">"ml_gsl_linalg_complex_LU_refine"</span><br> <span class="keyword">external</span> complex_LU_invert :<br> <span class="constructor">Gsl_vectmat</span>.cmat <span class="keywordsign">-></span> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> <span class="constructor">Gsl_vectmat</span>.cmat <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_complex_LU_invert"</span><br> <span class="keyword">external</span> complex_LU_det : <span class="constructor">Gsl_vectmat</span>.cmat <span class="keywordsign">-></span> int <span class="keywordsign">-></span> <span class="constructor">Gsl_complex</span>.complex<br> = <span class="string">"ml_gsl_linalg_complex_LU_det"</span><br> <span class="keyword">external</span> complex_LU_lndet : <span class="constructor">Gsl_vectmat</span>.cmat <span class="keywordsign">-></span> float<br> = <span class="string">"ml_gsl_linalg_complex_LU_lndet"</span><br> <span class="keyword">external</span> complex_LU_sgndet : <span class="constructor">Gsl_vectmat</span>.cmat <span class="keywordsign">-></span> int <span class="keywordsign">-></span> <span class="constructor">Gsl_complex</span>.complex<br> = <span class="string">"ml_gsl_linalg_complex_LU_sgndet"</span><br> <span class="keyword">external</span> _QR_decomp : <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> <span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QR_decomp"</span><br> <span class="keyword">external</span> _QR_solve :<br> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> <span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QR_solve"</span><br> <span class="keyword">external</span> _QR_svx :<br> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> <span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QR_svx"</span><br> <span class="keyword">external</span> _QR_lssolve :<br> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> <span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span><br> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> res:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QR_lssolve"</span><br> <span class="keyword">external</span> _QR_QTvec :<br> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> <span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> v:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QR_QTvec"</span><br> <span class="keyword">external</span> _QR_Qvec :<br> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> <span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> v:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QR_Qvec"</span><br> <span class="keyword">external</span> _QR_Rsolve :<br> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QR_Rsolve"</span><br> <span class="keyword">external</span> _QR_Rsvx : <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QR_Rsvx"</span><br> <span class="keyword">external</span> _QR_unpack :<br> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> q:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> r:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QR_unpack"</span><br> <span class="keyword">external</span> _QR_QRsolve :<br> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> r:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QR_QRsolve"</span><br> <span class="keyword">external</span> _QR_update :<br> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> r:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> w:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> v:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QR_update"</span><br> <span class="keyword">external</span> _R_solve :<br> r:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_R_solve"</span><br> <span class="keyword">external</span> _QRPT_decomp :<br> a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> p:<span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> norm:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> int<br> = <span class="string">"ml_gsl_linalg_QRPT_decomp"</span><br> <span class="keyword">external</span> _QRPT_decomp2 :<br> a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> q:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> r:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> p:<span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> norm:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> int<br> = <span class="string">"ml_gsl_linalg_QRPT_decomp2_bc"</span> <span class="string">"ml_gsl_linalg_QRPT_decomp2"</span><br> <span class="keyword">external</span> _QRPT_solve :<br> qr:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span><br> p:<span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QRPT_solve"</span><br> <span class="keyword">external</span> _QRPT_svx :<br> qr:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> p:<span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QRPT_svx"</span><br> <span class="keyword">external</span> _QRPT_QRsolve :<br> q:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> r:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> p:<span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QRPT_QRsolve"</span><br> <span class="keyword">external</span> _QRPT_update :<br> q:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> r:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> p:<span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> u:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> v:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QRPT_update"</span><br> <span class="keyword">external</span> _QRPT_Rsolve :<br> qr:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> p:<span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QRPT_Rsolve"</span><br> <span class="keyword">external</span> _QRPT_Rsvx :<br> qr:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> p:<span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_QRPT_Rsolve"</span><br> <span class="keyword">external</span> _SV_decomp :<br> a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> v:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> s:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> work:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_SV_decomp"</span><br> <span class="keyword">external</span> _SV_decomp_mod :<br> a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> x:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> v:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> s:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> work:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_SV_decomp_mod"</span><br> <span class="keyword">external</span> _SV_decomp_jacobi :<br> a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> v:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> s:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_SV_decomp_jacobi"</span><br> <span class="keyword">external</span> _SV_solve :<br> u:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> v:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> s:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_SV_solve"</span><br> <span class="keyword">external</span> _LQ_decomp : a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_LQ_decomp"</span><br> <span class="keyword">external</span> _LQ_solve_T :<br> lq:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_LQ_solve_T"</span><br> <span class="keyword">external</span> _LQ_svx_T :<br> lq:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_LQ_svx_T"</span><br> <span class="keyword">external</span> _LQ_lssolve_T :<br> lq:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span><br> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> res:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_LQ_lssolve_T"</span><br> <span class="keyword">external</span> _LQ_Lsolve_T :<br> lq:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_LQ_Lsolve_T"</span><br> <span class="keyword">external</span> _LQ_Lsvx_T : lq:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_LQ_Lsvx_T"</span><br> <span class="keyword">external</span> _L_solve_T :<br> l:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_L_solve_T"</span><br> <span class="keyword">external</span> _LQ_vecQ :<br> lq:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> v:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_LQ_vecQ"</span><br> <span class="keyword">external</span> _LQ_vecQT :<br> lq:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> v:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_LQ_vecQT"</span><br> <span class="keyword">external</span> _LQ_unpack :<br> lq:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> q:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> l:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_LQ_unpack"</span><br> <span class="keyword">external</span> _LQ_update :<br> q:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> r:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> v:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> w:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_LQ_update"</span><br> <span class="keyword">external</span> _LQ_LQsolve :<br> q:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> l:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_LQ_LQsolve"</span><br> <span class="keyword">external</span> _PTLQ_decomp :<br> a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> norm:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> int<br> = <span class="string">"ml_gsl_linalg_PTLQ_decomp"</span><br> <span class="keyword">external</span> _PTLQ_decomp2 :<br> a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> q:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> r:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> norm:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> int<br> = <span class="string">"ml_gsl_linalg_PTLQ_decomp2_bc"</span> <span class="string">"ml_gsl_linalg_PTLQ_decomp2"</span><br> <span class="keyword">external</span> _PTLQ_solve_T :<br> qr:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span><br> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_PTLQ_solve_T"</span><br> <span class="keyword">external</span> _PTLQ_svx_T :<br> lq:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_PTLQ_svx_T"</span><br> <span class="keyword">external</span> _PTLQ_LQsolve_T :<br> q:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> l:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_PTLQ_LQsolve_T"</span><br> <span class="keyword">external</span> _PTLQ_Lsolve_T :<br> lq:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_PTLQ_Lsolve_T"</span><br> <span class="keyword">external</span> _PTLQ_Lsvx_T :<br> lq:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_PTLQ_Lsvx_T"</span><br> <span class="keyword">external</span> _PTLQ_update :<br> q:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> l:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> <span class="constructor">Gsl_permut</span>.permut <span class="keywordsign">-></span> v:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> w:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_PTLQ_update"</span><br> <span class="keyword">external</span> cho_decomp : <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_cholesky_decomp"</span><br> <span class="keyword">external</span> cho_solve :<br> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_cholesky_solve"</span><br> <span class="keyword">external</span> cho_svx : <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> <span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_cholesky_svx"</span><br> <span class="keyword">external</span> cho_decomp_unit : <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> <span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_cholesky_decomp_unit"</span><br> <span class="keyword">external</span> symmtd_decomp : a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_symmtd_decomp"</span><br> <span class="keyword">external</span> symmtd_unpack :<br> a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span><br> q:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> diag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> subdiag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_symmtd_unpack"</span><br> <span class="keyword">external</span> symmtd_unpack_T :<br> a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> diag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> subdiag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_symmtd_unpack_T"</span><br> <span class="keyword">external</span> hermtd_decomp : a:<span class="constructor">Gsl_vectmat</span>.cmat <span class="keywordsign">-></span> tau:<span class="constructor">Gsl_vectmat</span>.cvec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_hermtd_decomp"</span><br> <span class="keyword">external</span> hermtd_unpack :<br> a:<span class="constructor">Gsl_vectmat</span>.cmat <span class="keywordsign">-></span><br> tau:<span class="constructor">Gsl_vectmat</span>.cvec <span class="keywordsign">-></span><br> q:<span class="constructor">Gsl_vectmat</span>.cmat <span class="keywordsign">-></span><br> diag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> subdiag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_hermtd_unpack"</span><br> <span class="keyword">external</span> hermtd_unpack_T :<br> a:<span class="constructor">Gsl_vectmat</span>.cmat <span class="keywordsign">-></span><br> diag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> subdiag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_hermtd_unpack_T"</span><br> <span class="keyword">external</span> bidiag_decomp :<br> a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau_u:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> tau_v:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_bidiag_decomp"</span><br> <span class="keyword">external</span> bidiag_unpack :<br> a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau_u:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span><br> u:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau_v:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span><br> v:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> diag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> superdiag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_bidiag_unpack_bc"</span> <span class="string">"ml_gsl_linalg_bidiag_unpack"</span><br> <span class="keyword">external</span> bidiag_unpack2 :<br> a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> tau_u:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span><br> tau_v:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> v:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_bidiag_unpack2"</span><br> <span class="keyword">external</span> bidiag_unpack_B :<br> a:<span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span><br> diag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> superdiag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_bidiag_unpack_B"</span><br> <span class="keyword">external</span> _HH_solve :<br> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_HH_solve"</span><br> <span class="keyword">external</span> _HH_svx : <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> <span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_HH_svx"</span><br> <span class="keyword">val</span> solve_HH :<br> ?protect:bool <span class="keywordsign">-></span><br> [< <span class="keywordsign">`</span><span class="constructor">A</span> <span class="keyword">of</span> float array * int * int<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">AA</span> <span class="keyword">of</span> float array array<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">M</span> <span class="keyword">of</span> <span class="constructor">Gsl_matrix</span>.matrix<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">MF</span> <span class="keyword">of</span> <span class="constructor">Gsl_matrix_flat</span>.matrix ] <span class="keywordsign">-></span><br> [< <span class="keywordsign">`</span><span class="constructor">A</span> <span class="keyword">of</span> float array<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">V</span> <span class="keyword">of</span> <span class="constructor">Gsl_vector</span>.vector<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">VF</span> <span class="keyword">of</span> <span class="constructor">Gsl_vector_flat</span>.vector ] <span class="keywordsign">-></span><br> float array<br> <span class="keyword">external</span> solve_symm_tridiag :<br> diag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span><br> offdiag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_solve_symm_tridiag"</span><br> <span class="keyword">external</span> solve_tridiag :<br> diag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span><br> abovediag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span><br> belowdiag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span><br> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_solve_tridiag"</span><br> <span class="keyword">external</span> solve_symm_cyc_tridiag :<br> diag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span><br> offdiag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_solve_symm_cyc_tridiag"</span><br> <span class="keyword">external</span> solve_cyc_tridiag :<br> diag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span><br> abovediag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span><br> belowdiag:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span><br> b:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> x:<span class="constructor">Gsl_vectmat</span>.vec <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_solve_cyc_tridiag"</span><br> <span class="keyword">external</span> _exponential :<br> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> <span class="constructor">Gsl_vectmat</span>.mat <span class="keywordsign">-></span> <span class="constructor">Gsl_fun</span>.mode <span class="keywordsign">-></span> unit<br> = <span class="string">"ml_gsl_linalg_exponential_ss"</span><br> <span class="keyword">val</span> exponential :<br> ?mode:<span class="constructor">Gsl_fun</span>.mode <span class="keywordsign">-></span><br> [< <span class="keywordsign">`</span><span class="constructor">A</span> <span class="keyword">of</span> float array * int * int<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">M</span> <span class="keyword">of</span> <span class="constructor">Gsl_matrix</span>.matrix<br> <span class="keywordsign">|</span> <span class="keywordsign">`</span><span class="constructor">MF</span> <span class="keyword">of</span> <span class="constructor">Gsl_matrix_flat</span>.matrix ] <span class="keywordsign">-></span><br> [ <span class="keywordsign">`</span><span class="constructor">M</span> <span class="keyword">of</span> <span class="constructor">Gsl_matrix</span>.matrix ]<br> <span class="keyword">end</span></code></body></html>