| Chapter Introduction | |
| F08AEF | (SGEQRF/DGEQRF) QR factorization of real general rectangular matrix |
| F08AFF | (SORGQR/DORGQR) Form all or part of orthogonal Q from QR factorization determined by F08AEF or F08BEF |
| F08AGF | (SORMQR/DORMQR) Apply orthogonal transformation determined by F08AEF or F08BEF |
| F08AHF | (SGELQF/DGELQF) LQ factorization of real general rectangular matrix |
| F08AJF | (SORGLQ/DORGLQ) Form all or part of orthogonal Q from LQ factorization determined by F08AHF |
| F08AKF | (SORMLQ/DORMLQ) Apply orthogonal transformation determined by F08AHF |
| F08ASF | (CGEQRF/ZGEQRF) QR factorization of complex general rectangular matrix |
| F08ATF | (CUNGQR/ZUNGQR) Form all or part of unitary Q from QR factorization determined by F08ASF or F08BSF |
| F08AUF | (CUNMQR/ZUNMQR) Apply unitary transformation determined by F08ASF or F08BSF |
| F08AVF | (CGELQF/ZGELQF) LQ factorization of complex general rectangular matrix |
| F08AWF | (CUNGLQ/ZUNGLQ) Form all or part of unitary Q from LQ factorization determined by F08AVF |
| F08AXF | (CUNMLQ/ZUNMLQ) Apply unitary transformation determined by F08AVF |
| F08BEF | (SGEQPF/DGEQPF) QR factorization of real general rectangular matrix with column pivoting |
| F08BSF | (CGEQPF/ZGEQPF) QR factorization of complex general rectangular matrix with column pivoting |
| F08FEF | (SSYTRD/DSYTRD) Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form |
| F08FFF | (SORGTR/DORGTR) Generate orthogonal transformation matrix from reduction to tridiagonal form determined by F08FEF |
| F08FGF | (SORMTR/DORMTR) Apply orthogonal transformation determined by F08FEF |
| F08FSF | (CHETRD/ZHETRD) Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form |
| F08FTF | (CUNGTR/ZUNGTR) Generate unitary transformation matrix from reduction to tridiagonal form determined by F08FSF |
| F08FUF | (CUNMTR/ZUNMTR) Apply unitary transformation matrix determined by F08FSF |
| F08GEF | (SSPTRD/DSPTRD) Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form, packed storage |
| F08GFF | (SOPGTR/DOPGTR) Generate orthogonal transformation matrix from reduction to tridiagonal form determined by F08GEF |
| F08GGF | (SOPMTR/DOPMTR) Apply orthogonal transformation determined by F08GEF |
| F08GSF | (CHPTRD/ZHPTRD) Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form, packed storage |
| F08GTF | (CUPGTR/ZUPGTR) Generate unitary transformation matrix from reduction to tridiagonal form determined by F08GSF |
| F08GUF | (CUPMTR/ZUPMTR) Apply unitary transformation matrix determined by F08GSF |
| F08HEF | (SSBTRD/DSBTRD) Orthogonal reduction of real symmetric band matrix to symmetric tridiagonal form |
| F08HSF | (CHBTRD/ZHBTRD) Unitary reduction of complex Hermitian band matrix to real symmetric tridiagonal form |
| F08JEF | (SSTEQR/DSTEQR) All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from real symmetric matrix using implicit QL or QR |
| F08JFF | (SSTERF/DSTERF) All eigenvalues of real symmetric tridiagonal matrix, root-free variant of QL or QR |
| F08JGF | (SPTEQR/DPTEQR) All eigenvalues and eigenvectors of real symmetric positive-definite tridiagonal matrix, reduced from real symmetric positive-definite matrix |
| F08JJF | (SSTEBZ/DSTEBZ) Selected eigenvalues of real symmetric tridiagonal matrix by bisection |
| F08JKF | (SSTEIN/DSTEIN) Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in real array |
| F08JSF | (CSTEQR/ZSTEQR) All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from complex Hermitian matrix, using implicit QL or QR |
| F08JUF | (CPTEQR/ZPTEQR) All eigenvalues and eigenvectors of real symmetric positive-definite tridiagonal matrix, reduced from complex Hermitian positive-definite matrix |
| F08JXF | (CSTEIN/ZSTEIN) Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in complex array |
| F08KEF | (SGEBRD/DGEBRD) Orthogonal reduction of real general rectangular matrix to bidiagonal form |
| F08KFF | (SORGBR/DORGBR) Generate orthogonal transformation matrices from reduction to bidiagonal form determined by F08KEF |
| F08KGF | (SORMBR/DORMBR) Apply orthogonal transformations from reduction to bidiagonal form determined by F08KEF |
| F08KSF | (CGEBRD/ZGEBRD) Unitary reduction of complex general rectangular matrix to bidiagonal form |
| F08KTF | (CUNGBR/ZUNGBR) Generate unitary transformation matrices from reduction to bidiagonal form determined by F08KSF |
| F08KUF | (CUNMBR/ZUNMBR) Apply unitary transformations from reduction to bidiagonal form determined by F08KSF |
| F08MEF | (SBDSQR/DBDSQR) SVD of real bidiagonal matrix reduced from real general matrix |
| F08MSF | (CBDSQR/ZBDSQR) SVD of real bidiagonal matrix reduced from complex general matrix |
| F08NEF | (SGEHRD/DGEHRD) Orthogonal reduction of real general matrix to upper Hessenberg form |
| F08NFF | (SORGHR/DORGHR) Generate orthogonal transformation matrix from reduction to Hessenberg form determined by F08NEF |
| F08NGF | (SORMHR/DORMHR) Apply orthogonal transformation matrix from reduction to Hessenberg form determined by F08NEF |
| F08NHF | (SGEBAL/DGEBAL) Balance real general matrix |
| F08NJF | (SGEBAK/DGEBAK) Transform eigenvectors of real balanced matrix to those of original matrix supplied to F08NHF |
| F08NSF | (CGEHRD/ZGEHRD) Unitary reduction of complex general matrix to upper Hessenberg form |
| F08NTF | (CUNGHR/ZUNGHR) Generate unitary transformation matrix from reduction to Hessenberg form determined by F08NSF |
| F08NUF | (CUNMHR/ZUNMHR) Apply unitary transformation matrix from reduction to Hessenberg form determined by F08NSF |
| F08NVF | (CGEBAL/ZGEBAL) Balance complex general matrix |
| F08NWF | (CGEBAK/ZGEBAK) Transform eigenvectors of complex balanced matrix to those of original matrix supplied to F08NVF |
| F08PEF | (SHSEQR/DHSEQR) Eigenvalues and Schur factorization of real upper Hessenberg matrix reduced from real general matrix |
| F08PKF | (SHSEIN/DHSEIN) Selected right and/or left eigenvectors of real upper Hessenberg matrix by inverse iteration |
| F08PSF | (CHSEQR/ZHSEQR) Eigenvalues and Schur factorization of complex upper Hessenberg matrix reduced from complex general matrix |
| F08PXF | (CHSEIN/ZHSEIN) Selected right and/or left eigenvectors of complex upper Hessenberg matrix by inverse iteration |
| F08QFF | (STREXC/DTREXC) Reorder Schur factorization of real matrix using orthogonal similarity transformation |
| F08QGF | (STRSEN/DTRSEN) Reorder Schur factorization of real matrix, form orthonormal basis of right invariant subspace for selected eigenvalues, with estimates of sensitivities |
| F08QHF | (STRSYL/DTRSYL) Solve real Sylvester matrix equation AX + XB = C, A and B are upper quasi-triangular or transposes |
| F08QKF | (STREVC/DTREVC) Left and right eigenvectors of real upper quasi-triangular matrix |
| F08QLF | (STRSNA/DTRSNA) Estimates of sensitivities of selected eigenvalues and eigenvectors of real upper quasi-triangular matrix |
| F08QTF | (CTREXC/ZTREXC) Reorder Schur factorization of complex matrix using unitary similarity transformation |
| F08QUF | (CTRSEN/ZTRSEN) Reorder Schur factorization of complex matrix, form orthonormal basis of right invariant subspace for selected eigenvalues, with estimates of sensitivities |
| F08QVF | (CTRSYL/ZTRSYL) Solve complex Sylvester matrix equation AX + XB = C, A and B are upper triangular or conjugate-transposes |
| F08QXF | (CTREVC/ZTREVC) Left and right eigenvectors of complex upper triangular matrix |
| F08QYF | (CTRSNA/ZTRSNA) Estimates of sensitivities of selected eigenvalues and eigenvectors of complex upper triangular matrix |
| F08SEF | (SSYGST/DSYGST) Reduction to standard form of real symmetric-definite generalized eigenproblem Ax = lamda Bx, ABx = lamda x or BAx = lamda x, B factorized by F07FDF |
| F08SSF | (CHEGST/ZHEGST) Reduction to standard form of complex Hermitian-definite generalized eigenproblem Ax = lamda Bx, ABx = lamda x or BAx = lamda x, B factorized by F07FRF |
| F08TEF | (SSPGST/DSPGST) Reduction to standard form of real symmetric-definite generalized eigenproblem Ax = lamda Bx, ABx = lamda x or BAx = lamda x, packed storage, B factorized by F07GDF |
| F08TSF | (CHPGST/ZHPGST) Reduction to standard form of complex Hermitian-definite generalized eigenproblem Ax = lamda Bx, ABx = lamda x or BAx = lamda x, packed storage, B factorized by F07GRF |