| Function Name |
Mark of Introduction |
Purpose |
| f08aac
Example Text Example Data |
23 | nag_dgels Solves a real linear least problem of full rank |
| f08abc
Example Text Example Data |
24 | nag_dgeqrt Performs a factorization of real general rectangular matrix, with explicit blocking |
| f08acc | 24 | nag_dgemqrt Applies the orthogonal transformation determined by nag_dgeqrt (f08abc) |
| f08aec
Example Text Example Data |
7 | nag_dgeqrf Performs a factorization of real general rectangular matrix |
| f08afc
Example Text Example Data |
7 | nag_dorgqr Forms all or part of orthogonal from factorization determined by nag_dgeqrf (f08aec), nag_dgeqpf (f08bec) or nag_dgeqp3 (f08bfc) |
| f08agc | 7 | nag_dormqr Applies an orthogonal transformation determined by nag_dgeqrf (f08aec), nag_dgeqpf (f08bec) or nag_dgeqp3 (f08bfc) |
| f08ahc
Example Text Example Data |
7 | nag_dgelqf Performs a factorization of real general rectangular matrix |
| f08ajc
Example Text Example Data |
7 | nag_dorglq Forms all or part of orthogonal from factorization determined by nag_dgelqf (f08ahc) |
| f08akc | 7 | nag_dormlq Applies the orthogonal transformation determined by nag_dgelqf (f08ahc) |
| f08anc
Example Text Example Data |
23 | nag_zgels Solves a complex linear least problem of full rank |
| f08apc
Example Text Example Data |
24 | nag_zgeqrt Performs a factorization of complex general rectangular matrix using recursive algorithm |
| f08aqc | 24 | nag_zgemqrt Applies the unitary transformation determined by nag_zgeqrt (f08apc) |
| f08asc
Example Text Example Data |
7 | nag_zgeqrf Performs a factorization of complex general rectangular matrix |
| f08atc
Example Text Example Data |
7 | nag_zungqr Forms all or part of unitary from factorization determined by nag_zgeqrf (f08asc), nag_zgeqpf (f08bsc) or nag_zgeqp3 (f08btc) |
| f08auc | 7 | nag_zunmqr Applies a unitary transformation determined by nag_zgeqrf (f08asc), nag_zgeqpf (f08bsc) or nag_zgeqp3 (f08btc) |
| f08avc
Example Text Example Data |
7 | nag_zgelqf Performs a factorization of complex general rectangular matrix |
| f08awc
Example Text Example Data |
7 | nag_zunglq Forms all or part of unitary from factorization determined by nag_zgelqf (f08avc) |
| f08axc | 7 | nag_zunmlq Applies the unitary transformation determined by nag_zgelqf (f08avc) |
| f08bac
Example Text Example Data |
23 | nag_dgelsy Computes the minimum-norm solution to a real linear least squares problem |
| f08bbc
Example Text Example Data |
24 | nag_dtpqrt factorization of real general triangular-pentagonal matrix |
| f08bcc | 24 | nag_dtpmqrt Applies the orthogonal transformation determined by nag_dtpqrt (f08bbc) |
| f08bec
Example Text Example Data |
7 | nag_dgeqpf factorization, with column pivoting, of real general rectangular matrix |
| f08bfc
Example Text Example Data |
23 | nag_dgeqp3 factorization, with column pivoting, using BLAS-3, of real general rectangular matrix |
| f08bhc
Example Text Example Data |
23 | nag_dtzrzf Reduces a real upper trapezoidal matrix to upper triangular form |
| f08bkc | 23 | nag_dormrz Applies the orthogonal transformation determined by nag_dtzrzf (f08bhc) |
| f08bnc
Example Text Example Data |
23 | nag_zgelsy Computes the minimum-norm solution to a complex linear least squares problem |
| f08bpc
Example Text Example Data |
24 | nag_ztpqrt factorization of complex triangular-pentagonal matrix |
| f08bqc | 24 | nag_ztpmqrt Applies the unitary transformation determined by nag_ztpqrt (f08bpc) |
| f08bsc
Example Text Example Data |
7 | nag_zgeqpf factorization, with column pivoting, of complex general rectangular matrix |
| f08btc
Example Text Example Data |
23 | nag_zgeqp3 factorization, with column pivoting, using BLAS-3, of complex general rectangular matrix |
| f08bvc
Example Text Example Data |
23 | nag_ztzrzf Reduces a complex upper trapezoidal matrix to upper triangular form |
| f08bxc | 23 | nag_zunmrz Applies the unitary transformation determined by nag_ztzrzf (f08bvc) |
| f08cec
Example Text Example Data |
23 | nag_dgeqlf factorization of real general rectangular matrix |
| f08cfc
Example Text Example Data |
23 | nag_dorgql Form all or part of orthogonal from factorization determined by nag_dgeqlf (f08cec) |
| f08cgc | 23 | nag_dormql Applies the orthogonal transformation determined by nag_dgeqlf (f08cec) |
| f08chc
Example Text Example Data |
23 | nag_dgerqf factorization of real general rectangular matrix |
| f08cjc
Example Text Example Data |
23 | nag_dorgrq Form all or part of orthogonal from factorization determined by nag_dgerqf (f08chc) |
| f08ckc | 23 | nag_dormrq Applies the orthogonal transformation determined by nag_dgerqf (f08chc) |
| f08csc
Example Text Example Data |
23 | nag_zgeqlf factorization of complex general rectangular matrix |
| f08ctc
Example Text Example Data |
23 | nag_zungql Form all or part of unitary from factorization determined by nag_zgeqlf (f08csc) |
| f08cuc | 23 | nag_zunmql Applies the unitary transformation determined by nag_zgeqlf (f08csc) |
| f08cvc
Example Text Example Data |
23 | nag_zgerqf factorization of complex general rectangular matrix |
| f08cwc
Example Text Example Data |
23 | nag_zungrq Form all or part of unitary from factorization determined by nag_zgerqf (f08cvc) |
| f08cxc | 23 | nag_zunmrq Applies the unitary transformation determined by nag_zgerqf (f08cvc) |
| f08fac
Example Text Example Data |
23 | nag_dsyev Computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix |
| f08fbc
Example Text Example Data |
23 | nag_dsyevx Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix |
| f08fcc
Example Text Example Data |
7 | nag_dsyevd Computes all eigenvalues and, optionally, all eigenvectors of real symmetric matrix (divide-and-conquer) |
| f08fdc
Example Text Example Data |
23 | nag_dsyevr Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix (Relatively Robust Representations) |
| f08fec
Example Text Example Data |
7 | nag_dsytrd Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form |
| f08ffc
Example Text Example Data |
7 | nag_dorgtr Generate orthogonal transformation matrix from reduction to tridiagonal form determined by nag_dsytrd (f08fec) |
| f08fgc
Example Text Example Data |
7 | nag_dormtr Applies the orthogonal transformation determined by nag_dsytrd (f08fec) |
| f08flc | 23 | nag_ddisna Computes the reciprocal condition numbers for the eigenvectors of a real symmetric or complex Hermitian matrix or for the left or right singular vectors of a general matrix |
| f08fnc
Example Text Example Data |
23 | nag_zheev Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix |
| f08fpc
Example Text Example Data |
23 | nag_zheevx Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix |
| f08fqc
Example Text Example Data |
7 | nag_zheevd Computes all eigenvalues and, optionally, all eigenvectors of complex Hermitian matrix (divide-and-conquer) |
| f08frc
Example Text Example Data |
23 | nag_zheevr Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix (Relatively Robust Representations) |
| f08fsc
Example Text Example Data |
7 | nag_zhetrd Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form |
| f08ftc
Example Text Example Data |
7 | nag_zungtr Generate unitary transformation matrix from reduction to tridiagonal form determined by nag_zhetrd (f08fsc) |
| f08fuc
Example Text Example Data |
7 | nag_zunmtr Applies the unitary transformation matrix determined by nag_zhetrd (f08fsc) |
| f08gac
Example Text Example Data |
23 | nag_dspev Computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix, packed storage |
| f08gbc
Example Text Example Data |
23 | nag_dspevx Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix, packed storage |
| f08gcc
Example Text Example Data |
7 | nag_dspevd Computes all eigenvalues and, optionally, all eigenvectors of real symmetric matrix, packed storage (divide-and-conquer or Pal–Walker–Kahan variant of the or algorithm) |
| f08gec
Example Text Example Data |
7 | nag_dsptrd Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form, packed storage |
| f08gfc
Example Text Example Data |
7 | nag_dopgtr Generate orthogonal transformation matrix from reduction to tridiagonal form determined by nag_dsptrd (f08gec) |
| f08ggc
Example Text Example Data |
7 | nag_dopmtr Applies the orthogonal transformation determined by nag_dsptrd (f08gec) |
| f08gnc
Example Text Example Data |
23 | nag_zhpev Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix, packed storage |
| f08gpc
Example Text Example Data |
23 | nag_zhpevx Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix, packed storage |
| f08gqc
Example Text Example Data |
7 | nag_zhpevd Computes all eigenvalues and, optionally, all eigenvectors of complex Hermitian matrix, packed storage (divide-and-conquer or Pal–Walker–Kahan variant of the or algorithm) |
| f08gsc
Example Text Example Data |
7 | nag_zhptrd Performs a unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form, packed storage |
| f08gtc
Example Text Example Data |
7 | nag_zupgtr Generates a unitary transformation matrix from reduction to tridiagonal form determined by nag_zhptrd (f08gsc) |
| f08guc
Example Text Example Data |
7 | nag_zupmtr Applies the unitary transformation matrix determined by nag_zhptrd (f08gsc) |
| f08hac
Example Text Example Data |
23 | nag_dsbev Computes all eigenvalues and, optionally, eigenvectors of a real symmetric band matrix |
| f08hbc
Example Text Example Data |
23 | nag_dsbevx Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric band matrix |
| f08hcc
Example Text Example Data |
7 | nag_dsbevd Computes all eigenvalues and, optionally, all eigenvectors of real symmetric band matrix (divide-and-conquer or Pal–Walker–Kahan variant of the or algorithm) |
| f08hec
Example Text Example Data |
7 | nag_dsbtrd Performs an rrthogonal reduction of real symmetric band matrix to symmetric tridiagonal form |
| f08hnc
Example Text Example Data |
23 | nag_zhbev Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix |
| f08hpc
Example Text Example Data |
23 | nag_zhbevx Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix |
| f08hqc
Example Text Example Data |
7 | nag_zhbevd Computes all eigenvalues and, optionally, all eigenvectors of complex Hermitian band matrix (divide-and-conquer) |
| f08hsc
Example Text Example Data |
7 | nag_zhbtrd Performs a unitary reduction of complex Hermitian band matrix to real symmetric tridiagonal form |
| f08jac
Example Text Example Data |
23 | nag_dstev Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix |
| f08jbc
Example Text Example Data |
23 | nag_dstevx Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix |
| f08jcc
Example Text Example Data |
7 | nag_dstevd Computes all eigenvalues and, optionally, all eigenvectors of real symmetric tridiagonal matrix (divide-and-conquer) |
| f08jdc
Example Text Example Data |
23 | nag_dstevr Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix (Relatively Robust Representations) |
| f08jec
Example Text Example Data |
7 | nag_dsteqr Computes all eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from real symmetric matrix using the implicit or algorithm |
| f08jfc
Example Text Example Data |
7 | nag_dsterf Computes all eigenvalues of real symmetric tridiagonal matrix, root-free variant of the or algorithm |
| f08jgc
Example Text Example Data |
7 | nag_dpteqr Computes all eigenvalues and eigenvectors of real symmetric positive definite tridiagonal matrix, reduced from real symmetric positive definite matrix |
| f08jhc
Example Text Example Data |
23 | nag_dstedc Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a matrix reduced to this form (divide-and-conquer) |
| f08jjc | 7 | nag_dstebz Computes selected eigenvalues of real symmetric tridiagonal matrix by bisection |
| f08jkc | 7 | nag_dstein Computes selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in real array |
| f08jlc
Example Text Example Data |
23 | nag_dstegr Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a symmetric matrix reduced to this form (Relatively Robust Representations) |
| f08jsc | 7 | nag_zsteqr Computes all eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from complex Hermitian matrix, using the implicit or algorithm |
| f08juc
Example Text Example Data |
7 | nag_zpteqr Computes all eigenvalues and eigenvectors of real symmetric positive definite tridiagonal matrix, reduced from complex Hermitian positive definite matrix |
| f08jvc
Example Text Example Data |
23 | nag_zstedc Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a complex Hermitian matrix reduced to this form (divide-and-conquer) |
| f08jxc | 7 | nag_zstein Computes selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in complex array |
| f08jyc
Example Text Example Data |
23 | nag_zstegr Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a complex Hermitian matrix reduced to this form (Relatively Robust Representations) |
| f08kac
Example Text Example Data |
23 | nag_dgelss Computes the minimum-norm solution to a real linear least squares problem using singular value decomposition |
| f08kbc
Example Text Example Data |
23 | nag_dgesvd Computes the singular value decomposition of a real matrix, optionally computing the left and/or right singular vectors |
| f08kcc
Example Text Example Data |
23 | nag_dgelsd Computes the minimum-norm solution to a real linear least squares problem using singular value decomposition (divide-and-conquer) |
| f08kdc
Example Text Example Data |
23 | nag_dgesdd Computes the singular value decomposition of a real matrix, optionally computing the left and/or right singular vectors (divide-and-conquer) |
| f08kec
Example Text Example Data |
7 | nag_dgebrd Performs an orthogonal reduction of real general rectangular matrix to bidiagonal form |
| f08kfc
Example Text Example Data |
7 | nag_dorgbr Generates an orthogonal transformation matrices from reduction to bidiagonal form determined by nag_dgebrd (f08kec) |
| f08kgc
Example Text Example Data |
7 | nag_dormbr Applies the orthogonal transformations from reduction to bidiagonal form determined by nag_dgebrd (f08kec) |
| f08khc
Example Text Example Data |
23 | nag_dgejsv Computes the singular value decomposition of a real matrix, optionally computing the left and/or right singular vectors (preconditioned Jacobi) |
| f08kjc
Example Text Example Data |
23 | nag_dgesvj Computes the singular value decomposition of a real matrix, optionally computing the left and/or right singular vectors (fast Jacobi) |
| f08knc
Example Text Example Data |
23 | nag_zgelss Computes the minimum-norm solution to a complex linear least squares problem using singular value decomposition |
| f08kpc
Example Text Example Data |
23 | nag_zgesvd Computes the singular value decomposition of a complex matrix, optionally computing the left and/or right singular vectors |
| f08kqc
Example Text Example Data |
23 | nag_zgelsd Computes the minimum-norm solution to a complex linear least squares problem using singular value decomposition (divide-and-conquer) |
| f08krc
Example Text Example Data |
23 | nag_zgesdd Computes the singular value decomposition of a complex matrix, optionally computing the left and/or right singular vectors (divide-and-conquer) |
| f08ksc
Example Text Example Data |
7 | nag_zgebrd Performs a unitary reduction of complex general rectangular matrix to bidiagonal form |
| f08ktc
Example Text Example Data |
7 | nag_zungbr Generates unitary transformation matrices from the reduction to bidiagonal form determined by nag_zgebrd (f08ksc) |
| f08kuc
Example Text Example Data |
7 | nag_zunmbr Applies the unitary transformations from reduction to bidiagonal form determined by nag_zgebrd (f08ksc) |
| f08lec
Example Text Example Data |
7 | nag_dgbbrd Performs a reduction of real rectangular band matrix to upper bidiagonal form |
| f08lsc
Example Text Example Data |
7 | nag_zgbbrd Reduction of complex rectangular band matrix to upper bidiagonal form |
| f08mdc
Example Text Example Data |
23 | nag_dbdsdc Computes the singular value decomposition of a real bidiagonal matrix, optionally computing the singular vectors (divide-and-conquer) |
| f08mec
Example Text Example Data |
7 | nag_dbdsqr Performs an SVD of real bidiagonal matrix reduced from real general matrix |
| f08msc | 7 | nag_zbdsqr Performs an SVD of real bidiagonal matrix reduced from complex general matrix |
| f08nac
Example Text Example Data |
23 | nag_dgeev Computes all eigenvalues and, optionally, left and/or right eigenvectors of a real nonsymmetric matrix |
| f08nbc
Example Text Example Data |
23 | nag_dgeevx Computes all eigenvalues and, optionally, left and/or right eigenvectors of a real nonsymmetric matrix; also, optionally, the balancing transformation, the reciprocal condition numbers for the eigenvalues and for the right eigenvectors |
| f08nec
Example Text Example Data |
7 | nag_dgehrd Performs an orthogonal reduction of real general matrix to upper Hessenberg form |
| f08nfc
Example Text Example Data |
7 | nag_dorghr Generates an orthogonal transformation matrix from reduction to Hessenberg form determined by nag_dgehrd (f08nec) |
| f08ngc
Example Text Example Data |
7 | nag_dormhr Applies the orthogonal transformation matrix from reduction to Hessenberg form determined by nag_dgehrd (f08nec) |
| f08nhc
Example Text Example Data |
7 | nag_dgebal Balances a real general matrix |
| f08njc | 7 | nag_dgebak Transforms eigenvectors of real balanced matrix to those of original matrix supplied to nag_dgebal (f08nhc) |
| f08nnc
Example Text Example Data |
23 | nag_zgeev Computes all eigenvalues and, optionally, left and/or right eigenvectors of a complex nonsymmetric matrix |
| f08npc
Example Text Example Data |
23 | nag_zgeevx Computes all eigenvalues and, optionally, left and/or right eigenvectors of a complex nonsymmetric matrix; also, optionally, the balancing transformation, the reciprocal condition numbers for the eigenvalues and for the right eigenvectors |
| f08nsc
Example Text Example Data |
7 | nag_zgehrd Performs a unitary reduction of complex general matrix to upper Hessenberg form |
| f08ntc
Example Text Example Data |
7 | nag_zunghr Generates a unitary transformation matrix from reduction to Hessenberg form determined by nag_zgehrd (f08nsc) |
| f08nuc
Example Text Example Data |
7 | nag_zunmhr Applies the unitary transformation matrix from reduction to Hessenberg form determined by nag_zgehrd (f08nsc) |
| f08nvc
Example Text Example Data |
7 | nag_zgebal Balances a complex general matrix |
| f08nwc | 7 | nag_zgebak Transforms eigenvectors of complex balanced matrix to those of original matrix supplied to nag_zgebal (f08nvc) |
| f08pac
Example Text Example Data |
23 | nag_dgees Computes for real square nonsymmetric matrix, the eigenvalues, the real Schur form, and, optionally, the matrix of Schur vectors |
| f08pbc
Example Text Example Data |
23 | nag_dgeesx Computes for real square nonsymmetric matrix, the eigenvalues, the real Schur form, and, optionally, the matrix of Schur vectors; also, optionally, computes reciprocal condition numbers for selected eigenvalues |
| f08pec
Example Text Example Data |
7 | nag_dhseqr Computes the eigenvalues and Schur factorization of real upper Hessenberg matrix reduced from real general matrix |
| f08pkc | 7 | nag_dhsein Computes selected right and/or left eigenvectors of real upper Hessenberg matrix by inverse iteration |
| f08pnc
Example Text Example Data |
23 | nag_zgees Computes for complex square nonsymmetric matrix, the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors |
| f08ppc
Example Text Example Data |
23 | nag_zgeesx Computes for real square nonsymmetric matrix, the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors; also computes a reciprocal condition number for the average of the selected eigenvalues and for the right invariant subspace corresponding to these eigenvalues |
| f08psc
Example Text Example Data |
7 | nag_zhseqr Computes the eigenvalues and Schur factorization of complex upper Hessenberg matrix reduced from complex general matrix |
| f08pxc | 7 | nag_zhsein Computes selected right and/or left eigenvectors of complex upper Hessenberg matrix by inverse iteration |
| f08qfc
Example Text Example Data |
7 | nag_dtrexc Reorders a Schur factorization of real matrix using orthogonal similarity transformation |
| f08qgc
Example Text Example Data |
7 | nag_dtrsen Reorders a Schur factorization of real matrix, form orthonormal basis of right invariant subspace for selected eigenvalues, with estimates of sensitivities |
| f08qhc
Example Text Example Data |
7 | nag_dtrsyl Solves the real Sylvester matrix equation , and are upper quasi-triangular or transposes |
| f08qkc | 7 | nag_dtrevc Computes left and right eigenvectors of real upper quasi-triangular matrix |
| f08qlc
Example Text Example Data |
7 | nag_dtrsna Computes estimates of sensitivities of selected eigenvalues and eigenvectors of real upper quasi-triangular matrix |
| f08qtc
Example Text Example Data |
7 | nag_ztrexc Reorders a Schur factorization of complex matrix using unitary similarity transformation |
| f08quc
Example Text Example Data |
7 | nag_ztrsen Reorders a Schur factorization of complex matrix, form orthonormal basis of right invariant subspace for selected eigenvalues, with estimates of sensitivities |
| f08qvc
Example Text Example Data |
7 | nag_ztrsyl Solves the complex Sylvester matrix equation , and are upper triangular or conjugate-transposes |
| f08qxc | 7 | nag_ztrevc Computes left and right eigenvectors of complex upper triangular matrix |
| f08qyc
Example Text Example Data |
7 | nag_ztrsna Computes estimates of sensitivities of selected eigenvalues and eigenvectors of complex upper triangular matrix |
| f08rac
Example Text Example Data |
24 | nag_dorcsd Computes the CS decomposition of an orthogonal matrix partitioned into four real submatrices |
| f08rnc
Example Text Example Data |
24 | nag_zuncsd Computes the CS decomposition of an unitary matrix partitioned into four complex submatrices |
| f08sac
Example Text Example Data |
23 | nag_dsygv Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem |
| f08sbc
Example Text Example Data |
23 | nag_dsygvx Computes selected eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem |
| f08scc
Example Text Example Data |
23 | nag_dsygvd Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem (divide-and-conquer) |
| f08sec
Example Text Example Data |
7 | nag_dsygst Performs a reduction to standard form of real symmetric-definite generalized eigenproblem , or , factorized by nag_dpotrf (f07fdc) |
| f08snc
Example Text Example Data |
23 | nag_zhegv Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem |
| f08spc
Example Text Example Data |
23 | nag_zhegvx Computes selected eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem |
| f08sqc
Example Text Example Data |
23 | nag_zhegvd Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem (divide-and-conquer) |
| f08ssc
Example Text Example Data |
7 | nag_zhegst Performs a reduction to standard form of complex Hermitian-definite generalized eigenproblem , or , factorized by nag_zpotrf (f07frc) |
| f08tac
Example Text Example Data |
23 | nag_dspgv Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, packed storage |
| f08tbc
Example Text Example Data |
23 | nag_dspgvx Computes selected eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, packed storage |
| f08tcc
Example Text Example Data |
23 | nag_dspgvd Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, packed storage (divide-and-conquer) |
| f08tec
Example Text Example Data |
7 | nag_dspgst Performs a reduction to standard form of real symmetric-definite generalized eigenproblem , or , packed storage, factorized by nag_dpptrf (f07gdc) |
| f08tnc
Example Text Example Data |
23 | nag_zhpgv Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem, packed storage |
| f08tpc
Example Text Example Data |
23 | nag_zhpgvx Computes selected eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem, packed storage |
| f08tqc
Example Text Example Data |
23 | nag_zhpgvd Computes selected eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem, packed storage (divide-and-conquer) |
| f08tsc
Example Text Example Data |
7 | nag_zhpgst Performs a reduction to standard form of complex Hermitian-definite generalized eigenproblem , or , packed storage, factorized by nag_zpptrf (f07grc) |
| f08uac
Example Text Example Data |
23 | nag_dsbgv Computes all the eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem |
| f08ubc
Example Text Example Data |
23 | nag_dsbgvx Computes selected eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem |
| f08ucc
Example Text Example Data |
23 | nag_dsbgvd Computes all the eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem (divide-and-conquer) |
| f08uec
Example Text Example Data |
7 | nag_dsbgst Performs a reduction of real symmetric-definite banded generalized eigenproblem to standard form , such that has the same bandwidth as |
| f08ufc | 7 | nag_dpbstf Computes a split Cholesky factorization of real symmetric positive definite band matrix |
| f08unc
Example Text Example Data |
23 | nag_zhbgv Computes all the eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem |
| f08upc
Example Text Example Data |
23 | nag_zhbgvx Computes selected eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem |
| f08uqc
Example Text Example Data |
23 | nag_zhbgvd Computes all the eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem (divide-and-conquer) |
| f08usc
Example Text Example Data |
7 | nag_zhbgst Performs a reduction of complex Hermitian-definite banded generalized eigenproblem to standard form , such that has the same bandwidth as |
| f08utc | 7 | nag_zpbstf Computes a split Cholesky factorization of complex Hermitian positive definite band matrix |
| f08vac
Example Text Example Data |
9 | nag_dggsvd Computes the generalized singular value decomposition of a real matrix pair |
| f08vec
Example Text Example Data |
23 | nag_dggsvp Produces orthogonal matrices that simultaneously reduce the by matrix and the by matrix to upper triangular form |
| f08vnc
Example Text Example Data |
9 | nag_zggsvd Computes the generalized singular value decomposition of a complex matrix pair |
| f08vsc
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23 | nag_zggsvp Produces unitary matrices that simultaneously reduce the complex , by , matrix and the complex, by , matrix to upper triangular form |
| f08wac
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23 | nag_dggev Computes, for a real nonsymmetric matrix pair, the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors |
| f08wbc
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23 | nag_dggevx Computes, for a real nonsymmetric matrix pair, the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors; also, optionally, the balancing transformation, the reciprocal condition numbers for the eigenvalues and for the right eigenvectors |
| f08wec | 7 | nag_dgghrd Performs an orthogonal reduction of a pair of real general matrices to generalized upper Hessenberg form |
| f08whc | 7 | nag_dggbal Balances a pair of real, square, matrices |
| f08wjc | 7 | nag_dggbak Transforms eigenvectors of a pair of real balanced matrices to those of original matrix pair supplied to nag_dggbal (f08whc) |
| f08wnc
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23 | nag_zggev Computes, for a complex nonsymmetric matrix pair, the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors |
| f08wpc
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23 | nag_zggevx Computes, for a complex nonsymmetric matrix pair, the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors; also, optionally, the balancing transformation, the reciprocal condition numbers for the eigenvalues and for the right eigenvectors |
| f08wsc | 7 | nag_zgghrd Performs a unitary reduction of a pair of complex general matrices to generalized upper Hessenberg form |
| f08wvc | 7 | nag_zggbal Balances a pair of complex, square, matrices |
| f08wwc | 7 | nag_zggbak Transforms eigenvectors of a pair of complex balanced matrices to those of original matrix pair supplied to nag_zggbal (f08wvc) |
| f08xac
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23 | nag_dgges Computes, for a real nonsymmetric matrix pair, the generalized eigenvalues, the generalized real Schur form and, optionally, the left and/or right matrices of Schur vectors |
| f08xbc
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23 | nag_dggesx Computes, for a real nonsymmetric matrix pair, the generalized eigenvalues, the generalized real Schur form and, optionally, the left and/or right matrices of Schur vectors; also, optionally, computes reciprocal condition numbers for selected eigenvalues |
| f08xec
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7 | nag_dhgeqz Computes eigenvalues and generalized Schur factorization of real generalized upper Hessenberg form reduced from a pair of real general matrices |
| f08xnc
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23 | nag_zgges Computes, for a complex nonsymmetric matrix pair, the generalized eigenvalues, the generalized complex Schur form and, optionally, the left and/or right matrices of Schur vectors |
| f08xpc
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23 | nag_zggesx Computes, for a complex nonsymmetric matrix pair, the generalized eigenvalues, the generalized complex Schur form and, optionally, the left and/or right matrices of Schur vectors; also, optionally, computes reciprocal condition numbers for selected eigenvalues |
| f08xsc
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7 | nag_zhgeqz Eigenvalues and generalized Schur factorization of complex generalized upper Hessenberg form reduced from a pair of complex, square, matrices |
| f08yec
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23 | nag_dtgsja Computes the generalized singular value decomposition of a real upper triangular (or trapezoidal) matrix pair |
| f08yfc
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23 | nag_dtgexc Reorders the generalized real Schur decomposition of a real matrix pair using an orthogonal equivalence transformation |
| f08ygc
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23 | nag_dtgsen Reorders the generalized real Schur decomposition of a real matrix pair using an orthogonal equivalence transformation, computes the generalized eigenvalues of the reordered pair and, optionally, computes the estimates of reciprocal condition numbers for eigenvalues and eigenspaces |
| f08yhc
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23 | nag_dtgsyl Solves the real-valued, generalized, quasi-trangular, Sylvester equation |
| f08ykc
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7 | nag_dtgevc Computes right and left generalized eigenvectors of the matrix pair ) which is assumed to be in generalized upper Schur form |
| f08ylc
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23 | nag_dtgsna Estimates reciprocal condition numbers for specified eigenvalues and/or eigenvectors of a real matrix pair in generalized real Schur canonical form |
| f08ysc
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23 | nag_ztgsja Computes the generalized singular value decomposition of a complex upper triangular (or trapezoidal) matrix pair |
| f08ytc
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23 | nag_ztgexc Reorders the generalized Schur decomposition of a complex matrix pair using an unitary equivalence transformation |
| f08yuc
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23 | nag_ztgsen Reorders the generalized Schur decomposition of a complex matrix pair using an unitary equivalence transformation, computes the generalized eigenvalues of the reordered pair and, optionally, computes the estimates of reciprocal condition numbers for eigenvalues and eigenspaces |
| f08yvc
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23 | nag_ztgsyl Solves the complex generalized Sylvester equation |
| f08yxc
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7 | nag_ztgevc Computes left and right eigenvectors of a pair of complex upper triangular matrices |
| f08yyc
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23 | nag_ztgsna Estimates reciprocal condition numbers for specified eigenvalues and/or eigenvectors of a complex matrix pair in generalized Schur canonical form |
| f08zac
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9 | nag_dgglse Solves the real linear equality-constrained least squares (LSE) problem |
| f08zbc
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9 | nag_dggglm Solves a real general Gauss–Markov linear model (GLM) problem |
| f08zec
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23 | nag_dggqrf Computes a generalized factorization of a real matrix pair |
| f08zfc
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23 | nag_dggrqf Computes a generalized factorization of a real matrix pair |
| f08znc
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9 | nag_zgglse Solves the complex linear equality-constrained least squares (LSE) problem |
| f08zpc
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9 | nag_zggglm Solves a complex general Gauss–Markov linear model (GLM) problem |
| f08zsc
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23 | nag_zggqrf Computes a generalized factorization of a complex matrix pair |
| f08ztc
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23 | nag_zggrqf Computes a generalized factorization of a complex matrix pair |