NAG Library Chapter Contents

f01 – Matrix Operations, Including Inversion


f01 Chapter Introduction – a description of the Chapter and an overview of the algorithms available

Function
Name
Mark of
Introduction

Purpose
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
LDLT factorization of real symmetric positive definite variable-bandwidth (skyline) matrix
f01vac
Example Text
Example Data
25 nag_dtrttp
Copies a real triangular matrix from full format to packed format
f01vbc
Example Text
Example Data
25 nag_ztrttp
Copies a complex triangular matrix from full format to packed format
f01vcc
Example Text
Example Data
25 nag_dtpttr
Copies a real triangular matrix from packed format to full format
f01vdc
Example Text
Example Data
25 nag_ztpttr
Copies a complex triangular matrix from packed format to full format
f01vec
Example Text
Example Data
25 nag_dtrttf
Copies a real triangular matrix from full format to Rectangular Full Packed format
f01vfc
Example Text
Example Data
25 nag_ztrttf
Copies a complex triangular matrix from full format to Rectangular Full Packed format
f01vgc
Example Text
Example Data
25 nag_dtfttr
Copies a real triangular matrix from Rectangular Full Packed format to full format
f01vhc
Example Text
Example Data
25 nag_ztfttr
Copies a complex triangular matrix from Rectangular Full Packed format to full format
f01vjc
Example Text
Example Data
25 nag_dtpttf
Copies a real triangular matrix from packed format to Rectangular Full Packed format
f01vkc
Example Text
Example Data
25 nag_ztpttf
Copies a complex triangular matrix from packed format to Rectangular Full Packed format
f01vlc
Example Text
Example Data
25 nag_dtfttp
Copies a real triangular matrix from Rectangular Full Packed format to packed format
f01vmc
Example Text
Example Data
25 nag_ztfttp
Copies a complex triangular matrix from Rectangular Full Packed format to packed format
© The Numerical Algorithms Group Ltd, Oxford, UK. 2017