F01 Chapter Contents : NAG Library Manual, Mark 24

Function Name	Mark of Introduction	Purpose
f01bnc Example Text Example Data	1	nag_complex_cholesky $U U^{H}$ factorization of complex Hermitian positive definite matrix Note: this function is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Functions for further information.
f01ecc Example Text Example Data	9	nag_real_gen_matrix_exp Real matrix exponential
f01edc Example Text Example Data	9	nag_real_symm_matrix_exp Real symmetric matrix exponential
f01efc Example Text Example Data	23	nag_matop_real_symm_matrix_fun Function of a real symmetric matrix
f01ejc Example Text Example Data	23	nag_matop_real_gen_matrix_log Real matrix logarithm
f01ekc Example Text Example Data	23	nag_matop_real_gen_matrix_fun_std Exponential, sine, cosine, sinh or cosh of a real matrix (Schur–Parlett algorithm)
f01elc Example Text Example Data	24	nag_matop_real_gen_matrix_fun_num Function of a real matrix (using numerical differentiation)
f01emc Example Text Example Data	23	nag_matop_real_gen_matrix_fun_usd Function of a real matrix (using user-supplied derivatives)
f01enc Example Text Example Data	24	nag_matop_real_gen_matrix_sqrt Real matrix square root
f01epc Example Text Example Data	24	nag_matop_real_tri_matrix_sqrt Real upper quasi-triangular matrix square root
f01eqc Example Text Example Data	24	nag_matop_real_gen_matrix_pow General power of a real matrix
f01fcc Example Text Example Data	23	nag_matop_complex_gen_matrix_exp Complex matrix exponential
f01fdc Example Text Example Data	23	nag_matop_complex_herm_matrix_exp Complex Hermitian matrix exponential
f01ffc Example Text Example Data	23	nag_matop_complex_herm_matrix_fun Function of a complex Hermitian matrix
f01fjc Example Text Example Data	23	nag_matop_complex_gen_matrix_log Complex matrix logarithm
f01fkc Example Text Example Data	23	nag_matop_complex_gen_matrix_fun_std Exponential, sine, cosine, sinh or cosh of a complex matrix (Schur–Parlett algorithm)
f01flc Example Text Example Data	24	nag_matop_complex_gen_matrix_fun_num Function of a complex matrix (using numerical differentiation)
f01fmc Example Text Example Data	23	nag_matop_complex_gen_matrix_fun_usd Function of a complex matrix (using user-supplied derivatives)
f01fnc Example Text Example Data	24	nag_matop_complex_gen_matrix_sqrt Complex matrix square root
f01fpc Example Text Example Data	24	nag_matop_complex_tri_matrix_sqrt Complex upper triangular matrix square root
f01fqc Example Text Example Data	24	nag_matop_complex_gen_matrix_pow General power of a complex matrix
f01gac Example Text Example Data	24	nag_matop_real_gen_matrix_actexp Action of a real matrix exponential on a real matrix
f01gbc Example Text Example Data	24	nag_matop_real_gen_matrix_actexp_rcomm Action of a real matrix exponential on a real matrix (reverse communication)
f01hac Example Text Example Data	24	nag_matop_complex_gen_matrix_actexp Action of a complex matrix exponential on a complex matrix
f01hbc Example Text Example Data	24	nag_matop_complex_gen_matrix_actexp_rcomm Action of a complex matrix exponential on a complex matrix (reverse communication)
f01jac Example Text Example Data	24	nag_matop_real_gen_matrix_cond_std Condition number for the exponential, logarithm, sine, cosine, sinh or cosh of a real matrix
f01jbc Example Text Example Data	24	nag_matop_real_gen_matrix_cond_num Condition number for a function of a real matrix (using numerical differentiation)
f01jcc Example Text Example Data	24	nag_matop_real_gen_matrix_cond_usd Condition number for a function of a real matrix (using user-supplied derivatives)
f01jdc Example Text Example Data	24	nag_matop_real_gen_matrix_cond_sqrt Condition number for square root of real matrix
f01jec Example Text Example Data	24	nag_matop_real_gen_matrix_cond_pow Condition number for real matrix power
f01jfc Example Text Example Data	24	nag_matop_real_gen_matrix_frcht_pow Fréchet derivative of real matrix power
f01jgc Example Text Example Data	24	nag_matop_real_gen_matrix_cond_exp Condition number for real matrix exponential
f01jhc Example Text Example Data	24	nag_matop_real_gen_matrix_frcht_exp Fréchet derivative of real matrix exponential
f01jjc Example Text Example Data	24	nag_matop_real_gen_matrix_cond_log Condition number for real matrix logarithm
f01jkc Example Text Example Data	24	nag_matop_real_gen_matrix_frcht_log Fréchet derivative of real matrix logarithm
f01kac Example Text Example Data	24	nag_matop_complex_gen_matrix_cond_std Condition number for the exponential, logarithm, sine, cosine, sinh or cosh of a complex matrix
f01kbc Example Text Example Data	24	nag_matop_complex_gen_matrix_cond_num Condition number for a function of a complex matrix (using numerical differentiation)
f01kcc Example Text Example Data	24	nag_matop_complex_gen_matrix_cond_usd Condition number for a function of a complex matrix (using user-supplied derivatives)
f01kdc Example Text Example Data	24	nag_matop_complex_gen_matrix_cond_sqrt Condition number for square root of complex matrix
f01kec Example Text Example Data	24	nag_matop_complex_gen_matrix_cond_pow Condition number for complex matrix power
f01kfc Example Text Example Data	24	nag_matop_complex_gen_matrix_frcht_pow Fréchet derivative of complex matrix power
f01kgc Example Text Example Data	24	nag_matop_complex_gen_matrix_cond_exp Condition number for complex matrix exponential
f01khc Example Text Example Data	24	nag_matop_complex_gen_matrix_frcht_exp Fréchet derivative of complex matrix exponential
f01kjc Example Text Example Data	24	nag_matop_complex_gen_matrix_cond_log Condition number for complex matrix logarithm
f01kkc Example Text Example Data	24	nag_matop_complex_gen_matrix_frcht_log Fréchet derivative of complex matrix logarithm
f01mcc Example Text Example Data	1	nag_real_cholesky_skyline $L D L^{T}$ factorization of real symmetric positive definite variable-bandwidth (skyline) matrix
f01qcc Example Text Example Data	1	nag_real_qr $Q R$ factorization of real $m$ by $n$ matrix $(m \geq n)$ Note: this function is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Functions for further information.
f01qdc Example Text Example Data	1	nag_real_apply_q Compute $Q B$ or $Q^{T} B$ after factorization by nag_real_qr (f01qcc) Note: this function is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Functions for further information.
f01qec Example Text Example Data	1	nag_real_form_q Form columns of $Q$ after factorization by nag_real_qr (f01qcc) Note: this function is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Functions for further information.
f01rcc Example Text Example Data	1	nag_complex_qr $Q R$ factorization of complex $m$ by $n$ matrix $(m \geq n)$ Note: this function is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Functions for further information.
f01rdc Example Text Example Data	1	nag_complex_apply_q Compute $Q B$ or $Q^{H} B$ after factorization by nag_complex_qr (f01rcc) Note: this function is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Functions for further information.
f01rec Example Text Example Data	1	nag_complex_form_q Form columns of $Q$ after factorization by nag_complex_qr (f01rcc) Note: this function is scheduled for withdrawal at Mark 25, see Advice on Replacement Calls for Withdrawn/Superseded Functions for further information.

NAG Library Chapter Contents

f01 – Matrix Operations, Including Inversion

f01 Chapter Introduction

NAG Library Chapter Contentsf01 – Matrix Operations, Including Inversion

f01 Chapter Introduction

NAG Library Chapter Contents

f01 – Matrix Operations, Including Inversion