F01 Chapter Contents (PDF version)
F01 Chapter Introduction
NAG Library Manual

NAG Library Chapter Contents

F01 – Matrix Operations, Including Inversion

F01 Chapter Introduction

Routine
Name		 Mark of
Introduction
Purpose
F01ABF
Example Text
Example Data		 1 nagf_matop_real_symm_posdef_inv
Inverse of real symmetric positive definite matrix using iterative refinement
F01ADF
Example Text
Example Data		 2 nagf_matop_real_symm_posdef_inv_noref
Inverse of real symmetric positive definite matrix
F01BLF
Example Text
Example Data		 5 nagf_matop_real_gen_pseudinv
Pseudo-inverse and rank of real m by n matrix m≥n
F01BRF
Example Text
Example Data		 7 nagf_matop_real_gen_sparse_lu
LU factorization of real sparse matrix
F01BSF
Example Text
Example Data		 7 nagf_matop_real_gen_sparse_lu_reuse
LU factorization of real sparse matrix with known sparsity pattern
F01BUF
Example Text
Example Data		 7 nagf_matop_real_symm_posdef_fac
ULDLTUT factorization of real symmetric positive definite band matrix
F01BVF
Example Text
Example Data		 7 nagf_matop_real_symm_posdef_geneig
Reduction to standard form, generalized real symmetric-definite banded eigenproblem
F01CKF
Example Text
Example Data		 2 nagf_matop_real_gen_matmul
Matrix multiplication
F01CRF
Example Text
Example Data		 7 nagf_matop_real_gen_trans_inplace
Matrix transposition
F01CTF
Example Text
Example Data		 14 nagf_matop_real_addsub
Sum or difference of two real matrices, optional scaling and transposition
F01CWF
Example Text
Example Data		 14 nagf_matop_complex_addsub
Sum or difference of two complex matrices, optional scaling and transposition
F01ECF
Example Text
Example Data		 22 nagf_matop_real_gen_matrix_exp
Real matrix exponential
F01EDF
Example Text
Example Data		 23 nagf_matop_real_symm_matrix_exp
Real symmetric matrix exponential
F01EFF
Example Text
Example Data		 23 nagf_matop_real_symm_matrix_fun
Function of a real symmetric matrix
F01FCF
Example Text
Example Data		 23 nagf_matop_complex_gen_matrix_exp
Complex matrix exponential
F01FDF
Example Text
Example Data		 23 nagf_matop_complex_herm_matrix_exp
Complex Hermitian matrix exponential
F01FFF
Example Text
Example Data		 23 nagf_matop_complex_herm_matrix_fun
Function of a complex Hermitian matrix
F01LEF
Example Text
Example Data		 11 nagf_matop_real_gen_tridiag_lu
LU factorization of real tridiagonal matrix
F01LHF
Example Text
Example Data		 13 nagf_matop_real_gen_blkdiag_lu
LU factorization of real almost block diagonal matrix
F01MCF
Example Text
Example Data		 8 nagf_matop_real_vband_posdef_fac
LDLT factorization of real symmetric positive definite variable-bandwidth matrix
F01QGF
Example Text
Example Data		 14 nagf_matop_real_trapez_rq
RQ factorization of real m by n upper trapezoidal matrix m≤n
F01QJF
Example Text
Example Data		 14 nagf_matop_real_gen_rq
RQ factorization of real m by n matrix m≤n
F01QKF
Example Text
Example Data		 14 nagf_matop_real_gen_rq_formq
Operations with orthogonal matrices, form rows of Q, after RQ factorization by F01QJF
F01RGF
Example Text
Example Data		 14 nagf_matop_complex_trapez_rq
RQ factorization of complex m by n upper trapezoidal matrix m≤n
F01RJF
Example Text
Example Data		 14 nagf_matop_complex_gen_rq
RQ factorization of complex m by n matrix m≤n
F01RKF
Example Text
Example Data		 14 nagf_matop_complex_gen_rq_formq
Operations with unitary matrices, form rows of Q, after RQ factorization by F01RJF
F01VAF
Example Text
Example Data		 23 DTRTTP
nagf_matop_dtrttp
Copies a real triangular matrix from full format to packed format scheme
F01VBF
Example Text
Example Data		 23 ZTRTTP
nagf_matop_ztrttp
Copies a complex triangular matrix from full format to packed format scheme
F01VCF
Example Text
Example Data		 23 DTPTTR
nagf_matop_dtpttr
Copies a real triangular matrix from packed format to full format scheme
F01VDF
Example Text
Example Data		 23 ZTPTTR
nagf_matop_ztpttr
Copies a complex triangular matrix from packed format to full format scheme
F01VEF
Example Text
Example Data		 23 DTRTTF
nagf_matop_dtrttf
Copies a real triangular matrix from full format to Rectangular Full Packed format scheme
F01VFF
Example Text
Example Data		 23 ZTRTTF
nagf_matop_ztrttf
Copies a complex triangular matrix from full format to Rectangular Full Packed format scheme
F01VGF
Example Text
Example Data		 23 DTFTTR
nagf_matop_dtfttr
Copies a real triangular matrix from Rectangular Full Packed format to full format scheme
F01VHF
Example Text
Example Data		 23 ZTFTTR
nagf_matop_ztfttr
Copies a complex triangular matrix from Rectangular Full Packed format to full format scheme
F01VJF
Example Text
Example Data		 23 DTPTTF
nagf_matop_dtpttf
Copies a real triangular matrix from packed format to Rectangular Full Packed format scheme
F01VKF
Example Text
Example Data		 23 ZTPTTF
nagf_matop_ztpttf
Copies a complex triangular matrix from packed format to Rectangular Full Packed format scheme
F01VLF
Example Text
Example Data		 23 DTFTTP
nagf_matop_dtfttp
Copies a real triangular matrix from Rectangular Full Packed format to packed format scheme
F01VMF
Example Text
Example Data		 23 ZTFTTP
nagf_matop_ztfttp
Copies a complex triangular matrix from Rectangular Full Packed format to packed format scheme
F01ZAF
Example Text
Example Data		 14 nagf_matop_real_tri_pack
Convert real matrix between packed triangular and square storage schemes
F01ZBF
Example Text
Example Data		 14 nagf_matop_complex_tri_pack
Convert complex matrix between packed triangular and square storage schemes
F01ZCF
Example Text
Example Data		 14 nagf_matop_real_band_pack
Convert real matrix between packed banded and rectangular storage schemes
F01ZDF
Example Text
Example Data		 14 nagf_matop_complex_band_pack
Convert complex matrix between packed banded and rectangular storage schemes
F01 Chapter Contents (PDF version)
F01 Chapter Introduction
NAG Library Manual
© The Numerical Algorithms Group Ltd, Oxford, UK. 2011