NAG Toolbox

F01 – Matrix Operations, Including Inversion

• F01 Introduction
• f01ab – Inverse of real symmetric positive definite matrix using iterative refinement
• nag_matop_real_symm_posdef_inv – f01ab
• f01ad – Inverse of real symmetric positive definite matrix
• nag_matop_real_symm_posdef_inv_noref – f01ad
• f01bl – Pseudo-inverse and rank of real m by n matrix (m >= n)
• nag_matop_real_gen_pseudinv – f01bl
• f01br – LU factorization of real sparse matrix
• nag_matop_real_gen_sparse_lu – f01br
• f01bs – LU factorization of real sparse matrix with known sparsity pattern
• nag_matop_real_gen_sparse_lu_reuse – f01bs
• f01bu – ULDL^TU^T factorization of real symmetric positive definite band matrix
• nag_matop_real_symm_posdef_fac – f01bu
• f01bv – Reduction to standard form, generalized real symmetric-definite banded eigenproblem
• nag_matop_real_symm_posdef_geneig – f01bv
• f01ck – Matrix multiplication
• nag_matop_real_gen_matmul – f01ck
• f01cr – Matrix transposition
• nag_matop_real_gen_trans_inplace – f01cr
• f01ct – Sum or difference of two real matrices, optional scaling and transposition
• nag_matop_real_addsub – f01ct
• f01cw – Sum or difference of two complex matrices, optional scaling and transposition
• nag_matop_complex_addsub – f01cw
• f01ec – Real matrix exponential
• nag_matop_real_gen_matrix_exp – f01ec
• f01ed – Real symmetric matrix exponential
• nag_matop_real_symm_matrix_exp – f01ed
• f01ef – Function of a real symmetric matrix
• nag_matop_real_symm_matrix_fun – f01ef
• f01fc – Complex matrix exponential
• nag_matop_complex_gen_matrix_exp – f01fc
• f01fd – Complex Hermitian matrix exponential
• nag_matop_complex_herm_matrix_exp – f01fd
• f01ff – Function of a complex Hermitian matrix
• nag_matop_complex_herm_matrix_fun – f01ff
• f01le – LU factorization of real tridiagonal matrix
• nag_matop_real_gen_tridiag_lu – f01le
• f01lh – LU factorization of real almost block diagonal matrix
• nag_matop_real_gen_blkdiag_lu – f01lh
• f01mc – LDL^T factorization of real symmetric positive definite variable-bandwidth matrix
• nag_matop_real_vband_posdef_fac – f01mc
• f01qg – RQ factorization of real m by n upper trapezoidal matrix (m <= n)
• nag_matop_real_trapez_rq – f01qg
• f01qj – RQ factorization of real m by n matrix (m <= n)
• nag_matop_real_gen_rq – f01qj
• f01qk – Operations with orthogonal matrices, form rows of Q, after RQ factorization by f01qj
• nag_matop_real_gen_rq_formq – f01qk
• f01rg – RQ factorization of complex m by n upper trapezoidal matrix (m <= n)
• nag_matop_complex_trapez_rq – f01rg
• f01rj – RQ factorization of complex m by n matrix (m <= n)
• nag_matop_complex_gen_rq – f01rj
• f01rk – Operations with unitary matrices, form rows of Q, after RQ factorization by f01rj
• nag_matop_complex_gen_rq_formq – f01rk
• f01va – Copies a real triangular matrix from full format to packed format scheme
• nag_matop_dtrttp – f01va
• f01vb – Copies a complex triangular matrix from full format to packed format scheme
• nag_matop_ztrttp – f01vb
• f01vc – Copies a real triangular matrix from packed format to full format scheme
• nag_matop_dtpttr – f01vc
• f01vd – Copies a complex triangular matrix from packed format to full format scheme
• nag_matop_ztpttr – f01vd
• f01ve – Copies a real triangular matrix from full format to Rectangular Full Packed format scheme
• nag_matop_dtrttf – f01ve
• f01vf – Copies a complex triangular matrix from full format to Rectangular Full Packed format scheme
• nag_matop_ztrttf – f01vf
• f01vg – Copies a real triangular matrix from Rectangular Full Packed format to full format scheme
• nag_matop_dtfttr – f01vg
• f01vh – Copies a complex triangular matrix from Rectangular Full Packed format to full format scheme
• nag_matop_ztfttr – f01vh
• f01vj – Copies a real triangular matrix from packed format to Rectangular Full Packed format scheme
• nag_matop_dtpttf – f01vj
• f01vk – Copies a complex triangular matrix from packed format to Rectangular Full Packed format scheme
• nag_matop_ztpttf – f01vk
• f01vl – Copies a real triangular matrix from Rectangular Full Packed format to packed format scheme
• nag_matop_dtfttp – f01vl
• f01vm – Copies a complex triangular matrix from Rectangular Full Packed format to packed format scheme
• nag_matop_ztfttp – f01vm
• f01za – Convert real matrix between packed triangular and square storage schemes
• nag_matop_real_tri_pack – f01za
• f01zb – Convert complex matrix between packed triangular and square storage schemes
• nag_matop_complex_tri_pack – f01zb
• f01zc – Convert real matrix between packed banded and rectangular storage schemes
• nag_matop_real_band_pack – f01zc
• f01zd – Convert complex matrix between packed banded and rectangular storage schemes
• nag_matop_complex_band_pack – f01zd

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