Chapter Introduction | |
F06AAF | (SROTG/DROTG) Generate real plane rotation |
F06BAF | Generate real plane rotation, storing tangent |
F06BCF | Recover cosine and sine from given real tangent |
F06BEF | Generate real Jacobi plane rotation |
F06BHF | Apply real similarity rotation to 2 by 2 symmetric matrix |
F06BLF | Compute quotient of two real scalars, with overflow flag |
F06BMF | Compute Euclidean norm from scaled form |
F06BNF | Compute square root of ( a^{2} + b^{2}), real a and b |
F06BPF | Compute eigenvalue of 2 by 2 real symmetric matrix |
F06CAF | Generate complex plane rotation, storing tangent, real cosine |
F06CBF | Generate complex plane rotation, storing tangent, real sine |
F06CCF | Recover cosine and sine from given complex tangent, real cosine |
F06CDF | Recover cosine and sine from given complex tangent, real sine |
F06CHF | Apply complex similarity rotation to 2 by 2 Hermitian matrix |
F06CLF | Compute quotient of two complex scalars, with overflow flag |
F06DBF | Broadcast scalar into integer vector |
F06DFF | Copy integer vector |
F06EAF | (SDOT/DDOT) Dot product of two real vectors |
F06ECF | (SAXPY/DAXPY) Add scalar times real vector to real vector |
F06EDF | (SSCAL/DSCAL) Multiply real vector by scalar |
F06EFF | (SCOPY/DCOPY) Copy real vector |
F06EGF | (SSWAP/DSWAP) Swap two real vectors |
F06EJF | (SNRM2/DNRM2) Compute Euclidean norm of real vector |
F06EKF | (SASUM/DASUM) Sum absolute values of real vector elements |
F06EPF | (SROT/DROT) Apply real plane rotation |
F06ERF | (SDOTI/DDOTI) Dot product of two real sparse vectors |
F06ETF | (SAXPYI/DAXPYI) Add scalar times real sparse vector to real sparse vector |
F06EUF | (SGTHR/DGTHR) Gather real sparse vector |
F06EVF | (SGTHRZ/DGTHRZ) Gather and set to zero real sparse vector |
F06EWF | (SSCTR/DSCTR) Scatter real sparse vector |
F06EXF | (SROTI/DROTI) Apply plane rotation to two real sparse vectors |
F06FAF | Compute cosine of angle between two real vectors |
F06FBF | Broadcast scalar into real vector |
F06FCF | Multiply real vector by diagonal matrix |
F06FDF | Multiply real vector by scalar, preserving input vector |
F06FGF | Negate real vector |
F06FJF | Update Euclidean norm of real vector in scaled form |
F06FKF | Compute weighted Euclidean norm of real vector |
F06FLF | Elements of real vector with largest and smallest absolute value |
F06FPF | Apply real symmetric plane rotation to two vectors |
F06FQF | Generate sequence of real plane rotations |
F06FRF | Generate real elementary reflection, NAG style |
F06FSF | Generate real elementary reflection, LINPACK style |
F06FTF | Apply real elementary reflection, NAG style |
F06FUF | Apply real elementary reflection, LINPACK style |
F06GAF | (CDOTU/ZDOTU) Dot product of two complex vectors, unconjugated |
F06GBF | (CDOTC/ZDOTC) Dot product of two complex vectors, conjugated |
F06GCF | (CAXPY/ZAXPY) Add scalar times complex vector to complex vector |
F06GDF | (CSCAL/ZSCAL) Multiply complex vector by complex scalar |
F06GFF | (CCOPY/ZCOPY) Copy complex vector |
F06GGF | (CSWAP/ZSWAP) Swap two complex vectors |
F06GRF | (CDOTUI/ZDOTUI) Dot product of two complex sparse vector, unconjugated |
F06GSF | (CDOTCI/ZDOTCI) Dot product of two complex sparse vector, conjugated |
F06GTF | (CAXPYI/ZAXPYI) Add scalar times complex sparse vector to complex sparse vector |
F06GUF | (CGTHR/ZGTHR) Gather complex sparse vector |
F06GVF | (CGTHRZ/ZGTHRZ) Gather and set to zero complex sparse vector |
F06GWF | (CSCTR/ZSCTR) Scatter complex sparse vector |
F06HBF | Broadcast scalar into complex vector |
F06HCF | Multiply complex vector by complex diagonal matrix |
F06HDF | Multiply complex vector by complex scalar, preserving input vector |
F06HGF | Negate complex vector |
F06HPF | Apply complex plane rotation |
F06HQF | Generate sequence of complex plane rotations |
F06HRF | Generate complex elementary reflection |
F06HTF | Apply complex elementary reflection |
F06JDF | (CSSCAL/ZDSCAL) Multiply complex vector by real scalar |
F06JJF | (SCNRM2/DZNRM2) Compute Euclidean norm of complex vector |
F06JKF | (SCASUM/DZASUM) Sum absolute values of complex vector elements |
F06JLF | (ISAMAX/IDAMAX) Index, real vector element with largest absolute value |
F06JMF | (ICAMAX/IZAMAX) Index, complex vector element with largest absolute value |
F06KCF | Multiply complex vector by real diagonal matrix |
F06KDF | Multiply complex vector by real scalar, preserving input vector |
F06KFF | Copy real vector to complex vector |
F06KJF | Update Euclidean norm of complex vector in scaled form |
F06KLF | Last non-negligible element of real vector |
F06KPF | Apply real plane rotation to two complex vectors |
F06PAF | (SGEMV/DGEMV) Matrix-vector product, real rectangular matrix |
F06PBF | (SGBMV/DGBMV) Matrix-vector product, real rectangular band matrix |
F06PCF | (SSYMV/DSYMV) Matrix-vector product, real symmetric matrix |
F06PDF | (SSBMV/DSBMV) Matrix-vector product, real symmetric band matrix |
F06PEF | (SSPMV/DSPMV) Matrix-vector product, real symmetric packed matrix |
F06PFF | (STRMV/DTRMV) Matrix-vector product, real triangular matrix |
F06PGF | (STBMV/DTBMV) Matrix-vector product, real triangular band matrix |
F06PHF | (STPMV/DTPMV) Matrix-vector product, real triangular packed matrix |
F06PJF | (STRSV/DTRSV) System of equations, real triangular matrix |
F06PKF | (STBSV/DTBSV) System of equations, real triangular band matrix |
F06PLF | (STPSV/DTPSV) System of equations, real triangular packed matrix |
F06PMF | (SGER/DGER) Rank-1 update, real rectangular matrix |
F06PPF | (SSYR/DSYR) Rank-1 update, real symmetric matrix |
F06PQF | (SSPR/DSPR) Rank-1 update, real symmetric packed matrix |
F06PRF | (SSYR2/DSYR2) Rank-2 update, real symmetric matrix |
F06PSF | (SSPR2/DSPR2) Rank-2 update, real symmetric packed matrix |
F06QFF | Matrix copy, real rectangular or trapezoidal matrix |
F06QHF | Matrix initialisation, real rectangular matrix |
F06QJF | Permute rows or columns, real rectangular matrix, permutations represented by an integer array |
F06QKF | Permute rows or columns, real rectangular matrix, permutations represented by a real array |
F06QMF | Orthogonal similarity transformation of real symmetric matrix as a sequence of plane rotations |
F06QPF |
QR factorization by sequence of plane rotations, rank-1 update of real upper triangular matrix |
F06QQF |
QR factorization by sequence of plane rotations, real upper triangular matrix augmented by a full row |
F06QRF |
QR or RQ factorization by sequence of plane rotations, real upper Hessenberg matrix |
F06QSF |
QR or RQ factorization by sequence of plane rotations, real upper spiked matrix |
F06QTF |
QR factorization of UZ or RQ factorization of ZU, U real upper triangular, Z a sequence of plane rotations |
F06QVF | Compute upper Hessenberg matrix by sequence of plane rotations, real upper triangular matrix |
F06QWF | Compute upper spiked matrix by sequence of plane rotations, real upper triangular matrix |
F06QXF | Apply sequence of plane rotations, real rectangular matrix |
F06RAF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, real general matrix |
F06RBF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, real band matrix |
F06RCF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, real symmetric matrix |
F06RDF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, real symmetric matrix, packed storage |
F06REF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, real symmetric band matrix |
F06RJF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, real trapezoidal/triangular matrix |
F06RKF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, real triangular matrix, packed storage |
F06RLF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, real triangular band matrix |
F06RMF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, real Hessenberg matrix |
F06SAF | (CGEMV/ZGEMV) Matrix-vector product, complex rectangular matrix |
F06SBF | (CGBMV/ZGBMV) Matrix-vector product, complex rectangular band matrix |
F06SCF | (CHEMV/ZHEMV) Matrix-vector product, complex Hermitian matrix |
F06SDF | (CHBMV/ZHBMV) Matrix-vector product, complex Hermitian band matrix |
F06SEF | (CHPMV/ZHPMV) Matrix-vector product, complex Hermitian packed matrix |
F06SFF | (CTRMV/ZTRMV) Matrix-vector product, complex triangular matrix |
F06SGF | (CTBMV/ZTBMV) Matrix-vector product, complex triangular band matrix |
F06SHF | (CTPMV/ZTPMV) Matrix-vector product, complex triangular packed matrix |
F06SJF | (CTRSV/ZTRSV) System of equations, complex triangular matrix |
F06SKF | (CTBSV/ZTBSV) System of equations, complex triangular band matrix |
F06SLF | (CTPSV/ZTPSV) System of equations, complex triangular packed matrix |
F06SMF | (CGERU/ZGERU) Rank-1 update, complex rectangular matrix, unconjugated vector |
F06SNF | (CGERC/ZGERC) Rank-1 update, complex rectangular matrix, conjugated vector |
F06SPF | (CHER/ZHER) Rank-1 update, complex Hermitian matrix |
F06SQF | (CHPR/ZHPR) Rank-1 update, complex Hermitian packed matrix |
F06SRF | (CHER2/ZHER2) Rank-2 update, complex Hermitian matrix |
F06SSF | (CHPR2/ZHPR2) Rank-2 update, complex Hermitian packed matrix |
F06TFF | Matrix copy, complex rectangular or trapezoidal matrix |
F06THF | Matrix initialisation, complex rectangular matrix |
F06TMF | Unitary similarity transformation of Hermitian matrix as a sequence of plane rotations |
F06TPF |
QR factorization by sequence of plane rotations, rank-1 update of complex upper triangular matrix |
F06TQF |
QRxk factorization by sequence of plane rotations, complex upper triangular matrix augmented by a full row |
F06TRF |
QR or RQ factorization by sequence of plane rotations, complex upper Hessenberg matrix |
F06TSF |
QR or RQ factorization by sequence of plane rotations, complex upper spiked matrix |
F06TTF |
QR factorization of UZ or RQ factorization of ZU, U complex upper triangular, Z a sequence of plane rotations |
F06TVF | Compute upper Hessenberg matrix by sequence of plane rotations, complex upper triangular matrix |
F06TWF | Compute upper spiked matrix by sequence of plane rotations, complex upper triangular matrix |
F06TXF | Apply sequence of plane rotations, complex rectangular matrix, real cosine and complex sine |
F06TYF | Apply sequence of plane rotations, complex rectangular matrix, complex cosine and real sine |
F06UAF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, complex general matrix |
F06UBF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, complex band matrix |
F06UCF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, complex Hermitian matrix |
F06UDF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, complex Hermitian matrix, packed storage |
F06UEF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, complex Hermitian band matrix |
F06UFF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, complex symmetric matrix |
F06UGF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, complex symmetric matrix, packed storage |
F06UHF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, complex symmetric band matrix |
F06UJF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, complex trapezoidal/triangular matrix |
F06UKF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, complex triangular matrix, packed storage |
F06ULF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, complex triangular band matrix |
F06UMF | 1-norm, infinity-norm, Frobenius norm, largest absolute element, complex Hessenberg matrix |
F06VJF | Permute rows or columns, complex rectangular matrix, permutations represented by an integer array |
F06VKF | Permute rows or columns, complex rectangular matrix, permutations represented by a real array |
F06VXF | Apply sequence of plane rotations, complex rectangular matrix, real cosine and sine |
F06YAF | (SGEMM/DGEMM) Matrix-matrix product, two real rectangular matrices |
F06YCF | (SSYMM/DSYMM) Matrix-matrix product, one real symmetric matrix, one real rectangular matrix |
F06YFF | (STRMM/DTRMM) Matrix-matrix product, one real triangular matrix, one real rectangular matrix |
F06YJF | (STRSM/DTRSM) Solves system of equations with multiple right-hand sides, real triangular coefficient matrix |
F06YPF | (SSYRK/DSYRK) Rank-k update of real symmetric matrix |
F06YRF | (SSYR2K/DSYR2K) Rank-2k update of real symmetric matrix |
F06ZAF | (CGEMM/ZGEMM) Matrix-matrix product, two complex rectangular matrices |
F06ZCF | (CHEMM/ZHEMM) Matrix-matrix product, one complex Hermitian matrix, one complex rectangular matrix |
F06ZFF | (CTRMM/ZTRMM) Matrix-matrix product, one complex triangular matrix, one complex rectangular matrix |
F06ZJF | (CTRSM/ZTRSM) Solves system of equations with multiple right-hand sides, complex triangular coefficient matrix |
F06ZPF | (CHERK/ZHERK) Rank-k update of complex Hermitian matrix |
F06ZRF | (CHER2K/ZHER2K) Rank-2k update of complex Hermitian matrix |
F06ZTF | (CSYMM/ZSYMM) Matrix-matrix product, one complex symmetric matrix, one complex rectangular matrix |
F06ZUF | (CSYRK/ZSYRK) Rank-k update of complex symmetric matrix |
F06ZWF | (CSYR2K/ZHER2K) Rank-2k update of complex symmetric matrix |