NAG CL Interface
F01 (Matop)
Matrix Operations, Including Inversion

F01 (Matop) Chapter Introduction – A description of the Chapter and an overview of the algorithms available.

Function
Mark of
Introduction

Purpose
f01dgc
Example Text
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27 nag_matop_real_tri_matmul_inplace
Matrix-matrix product, two real lower or upper triangular matrices
f01duc
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27 nag_matop_complex_tri_matmul_inplace
Matrix-matrix product, two complex lower or upper triangular matrices
f01ecc
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9 nag_matop_real_gen_matrix_exp
Real matrix exponential
f01edc
Example Text
Example Data
9 nag_matop_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
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23 nag_matop_real_gen_matrix_log
Real matrix logarithm
f01ekc
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23 nag_matop_real_gen_matrix_fun_std
Exponential, sine, cosine, sinh or cosh of a real matrix (Schur–Parlett algorithm)
f01elc
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24 nag_matop_real_gen_matrix_fun_num
Function of a real matrix (using numerical differentiation)
f01emc
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23 nag_matop_real_gen_matrix_fun_usd
Function of a real matrix (using user-supplied derivatives)
f01enc
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24 nag_matop_real_gen_matrix_sqrt
Real matrix square root
f01epc
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24 nag_matop_real_tri_matrix_sqrt
Real upper quasi-triangular matrix square root
f01eqc
Example Text
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24 nag_matop_real_gen_matrix_pow
General power of a real matrix
f01fcc
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23 nag_matop_complex_gen_matrix_exp
Complex matrix exponential
f01fdc
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23 nag_matop_complex_herm_matrix_exp
Complex Hermitian matrix exponential
f01ffc
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23 nag_matop_complex_herm_matrix_fun
Function of a complex Hermitian matrix
f01fjc
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23 nag_matop_complex_gen_matrix_log
Complex matrix logarithm
f01fkc
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23 nag_matop_complex_gen_matrix_fun_std
Exponential, sine, cosine, sinh or cosh of a complex matrix (Schur–Parlett algorithm)
f01flc
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24 nag_matop_complex_gen_matrix_fun_num
Function of a complex matrix (using numerical differentiation)
f01fmc
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23 nag_matop_complex_gen_matrix_fun_usd
Function of a complex matrix (using user-supplied derivatives)
f01fnc
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24 nag_matop_complex_gen_matrix_sqrt
Complex matrix square root
f01fpc
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24 nag_matop_complex_tri_matrix_sqrt
Complex upper triangular matrix square root
f01fqc
Example Text
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24 nag_matop_complex_gen_matrix_pow
General power of a complex matrix
f01gac
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24 nag_matop_real_gen_matrix_actexp
Action of a real matrix exponential on a real matrix
f01gbc
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24 nag_matop_real_gen_matrix_actexp_rcomm
Action of a real matrix exponential on a real matrix (reverse communication)
f01hac
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24 nag_matop_complex_gen_matrix_actexp
Action of a complex matrix exponential on a complex matrix
f01hbc
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24 nag_matop_complex_gen_matrix_actexp_rcomm
Action of a complex matrix exponential on a complex matrix (reverse communication)
f01jac
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24 nag_matop_real_gen_matrix_cond_std
Condition number for the exponential, logarithm, sine, cosine, sinh or cosh of a real matrix
f01jbc
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24 nag_matop_real_gen_matrix_cond_num
Condition number for a function of a real matrix (using numerical differentiation)
f01jcc
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24 nag_matop_real_gen_matrix_cond_usd
Condition number for a function of a real matrix (using user-supplied derivatives)
f01jdc
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24 nag_matop_real_gen_matrix_cond_sqrt
Condition number for square root of real matrix
f01jec
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24 nag_matop_real_gen_matrix_cond_pow
Condition number for real matrix power
f01jfc
Example Text
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24 nag_matop_real_gen_matrix_frcht_pow
Fréchet derivative of real matrix power
f01jgc
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24 nag_matop_real_gen_matrix_cond_exp
Condition number for real matrix exponential
f01jhc
Example Text
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24 nag_matop_real_gen_matrix_frcht_exp
Fréchet derivative of real matrix exponential
f01jjc
Example Text
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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
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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
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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
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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
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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_matop_real_vband_posdef_fac
LDLT factorization of real symmetric positive definite variable-bandwidth (skyline) matrix
f01sac
Example Text
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27 nag_matop_real_nmf
Non-negative matrix factorization of real non-negative matrix
f01sbc
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27 nag_matop_real_nmf_rcomm
Non-negative matrix factorization of real non-negative matrix (reverse communication)
f01vac
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25 nag_matop_dtrttp
Copies a real triangular matrix from full format to packed format
f01vbc
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25 nag_matop_ztrttp
Copies a complex triangular matrix from full format to packed format
f01vcc
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25 nag_matop_dtpttr
Copies a real triangular matrix from packed format to full format
f01vdc
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25 nag_matop_ztpttr
Copies a complex triangular matrix from packed format to full format
f01vec
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25 nag_matop_dtrttf
Copies a real triangular matrix from full format to Rectangular Full Packed format
f01vfc
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25 nag_matop_ztrttf
Copies a complex triangular matrix from full format to Rectangular Full Packed format
f01vgc
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25 nag_matop_dtfttr
Copies a real triangular matrix from Rectangular Full Packed format to full format
f01vhc
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25 nag_matop_ztfttr
Copies a complex triangular matrix from Rectangular Full Packed format to full format
f01vjc
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25 nag_matop_dtpttf
Copies a real triangular matrix from packed format to Rectangular Full Packed format
f01vkc
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25 nag_matop_ztpttf
Copies a complex triangular matrix from packed format to Rectangular Full Packed format
f01vlc
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25 nag_matop_dtfttp
Copies a real triangular matrix from Rectangular Full Packed format to packed format
f01vmc
Example Text
Example Data
25 nag_matop_ztfttp
Copies a complex triangular matrix from Rectangular Full Packed format to packed format