| Routine Name |
Mark of Introduction |
Purpose |
| F06AAF | 12 | Generate real plane rotation |
| F06BAF | 12 | Generate real plane rotation, storing tangent |
| F06BCF | 12 | Recover cosine and sine from given real tangent |
| F06BEF | 12 | Generate real Jacobi plane rotation |
| F06BHF | 12 | Apply real similarity rotation to 2 by 2 symmetric matrix |
| F06BLF | 12 | Compute quotient of two real scalars, with overflow flag |
| F06BMF | 12 | Compute Euclidean norm from scaled form |
| F06BNF | 12 | Compute square root of (a2+b2), real a and b |
| F06BPF | 12 | Compute eigenvalue of 2 by 2 real symmetric matrix |
| F06CAF | 12 | Generate complex plane rotation, storing tangent, real cosine |
| F06CBF | 12 | Generate complex plane rotation, storing tangent, real sine |
| F06CCF | 12 | Recover cosine and sine from given complex tangent, real cosine |
| F06CDF | 12 | Recover cosine and sine from given complex tangent, real sine |
| F06CHF | 12 | Apply complex similarity rotation to 2 by 2 Hermitian matrix |
| F06CLF | 12 | Compute quotient of two complex scalars, with overflow flag |
| F06DBF | 12 | Broadcast scalar into integer vector |
| F06DFF | 12 | Copy integer vector |
| F06EAF | 12 | Dot product of two real vectors |
| F06ECF | 12 | Add scalar times real vector to real vector |
| F06EDF | 12 | Multiply real vector by scalar |
| F06EFF | 12 | Copy real vector |
| F06EGF | 12 | Swap two real vectors |
| F06EJF | 12 | Compute Euclidean norm of real vector |
| F06EKF | 12 | Sum absolute values of real vector elements |
| F06EPF | 12 | Apply real plane rotation |
| F06ERF | 14 | Dot product of two real sparse vectors |
| F06ETF | 14 | Add scalar times real sparse vector to real sparse vector |
| F06EUF | 14 | Gather real sparse vector |
| F06EVF | 14 | Gather and set to zero real sparse vector |
| F06EWF | 14 | Scatter real sparse vector |
| F06EXF | 14 | Apply plane rotation to two real sparse vectors |
| F06FAF | 12 | Compute cosine of angle between two real vectors |
| F06FBF | 12 | Broadcast scalar into real vector |
| F06FCF | 12 | Multiply real vector by diagonal matrix |
| F06FDF | 12 | Multiply real vector by scalar, preserving input vector |
| F06FEF | 21 | Multiply real vector by reciprocal of scalar |
| F06FGF | 12 | Negate real vector |
| F06FJF | 12 | Update Euclidean norm of real vector in scaled form |
| F06FKF | 12 | Compute weighted Euclidean norm of real vector |
| F06FLF | 12 | Elements of real vector with largest and smallest absolute value |
| F06FPF | 12 | Apply real symmetric plane rotation to two vectors |
| F06FQF | 12 | Generate sequence of real plane rotations |
| F06FRF | 12 | Generate real elementary reflection, NAG style |
| F06FSF | 12 | Generate real elementary reflection, LINPACK style |
| F06FTF | 12 | Apply real elementary reflection, NAG style |
| F06FUF | 12 | Apply real elementary reflection, LINPACK style |
| F06GAF | 12 | Dot product of two complex vectors, unconjugated |
| F06GBF | 12 | Dot product of two complex vectors, conjugated |
| F06GCF | 12 | Add scalar times complex vector to complex vector |
| F06GDF | 12 | Multiply complex vector by complex scalar |
| F06GFF | 12 | Copy complex vector |
| F06GGF | 12 | Swap two complex vectors |
| F06GRF | 14 | Dot product of two complex sparse vector, unconjugated |
| F06GSF | 14 | Dot product of two complex sparse vector, conjugated |
| F06GTF | 14 | Add scalar times complex sparse vector to complex sparse vector |
| F06GUF | 14 | Gather complex sparse vector |
| F06GVF | 14 | Gather and set to zero complex sparse vector |
| F06GWF | 14 | Scatter complex sparse vector |
| F06HBF | 12 | Broadcast scalar into complex vector |
| F06HCF | 12 | Multiply complex vector by complex diagonal matrix |
| F06HDF | 12 | Multiply complex vector by complex scalar, preserving input vector |
| F06HGF | 12 | Negate complex vector |
| F06HPF | 12 | Apply complex plane rotation |
| F06HQF | 12 | Generate sequence of complex plane rotations |
| F06HRF | 12 | Generate complex elementary reflection |
| F06HTF | 12 | Apply complex elementary reflection |
| F06JDF | 12 | Multiply complex vector by real scalar |
| F06JJF | 12 | Compute Euclidean norm of complex vector |
| F06JKF | 12 | Sum absolute values of complex vector elements |
| F06JLF | 12 | Index, real vector element with largest absolute value |
| F06JMF | 12 | Index, complex vector element with largest absolute value |
| F06KCF | 12 | Multiply complex vector by real diagonal matrix |
| F06KDF | 12 | Multiply complex vector by real scalar, preserving input vector |
| F06KEF | 21 | Multiply complex vector by reciprocal of real scalar |
| F06KFF | 12 | Copy real vector to complex vector |
| F06KJF | 12 | Update Euclidean norm of complex vector in scaled form |
| F06KLF | 12 | Last non-negligible element of real vector |
| F06KPF | 12 | Apply real plane rotation to two complex vectors |
| F06PAF | 12 | Matrix-vector product, real rectangular matrix |
| F06PBF | 12 | Matrix-vector product, real rectangular band matrix |
| F06PCF | 12 | Matrix-vector product, real symmetric matrix |
| F06PDF | 12 | Matrix-vector product, real symmetric band matrix |
| F06PEF | 12 | Matrix-vector product, real symmetric packed matrix |
| F06PFF | 12 | Matrix-vector product, real triangular matrix |
| F06PGF | 12 | Matrix-vector product, real triangular band matrix |
| F06PHF | 12 | Matrix-vector product, real triangular packed matrix |
| F06PJF | 12 | System of equations, real triangular matrix |
| F06PKF | 12 | System of equations, real triangular band matrix |
| F06PLF | 12 | System of equations, real triangular packed matrix |
| F06PMF | 12 | Rank-1 update, real rectangular matrix |
| F06PPF | 12 | Rank-1 update, real symmetric matrix |
| F06PQF | 12 | Rank-1 update, real symmetric packed matrix |
| F06PRF | 12 | Rank-2 update, real symmetric matrix |
| F06PSF | 12 | Rank-2 update, real symmetric packed matrix |
| F06QFF | 13 | Matrix copy, real rectangular or trapezoidal matrix |
| F06QHF | 13 | Matrix initialization, real rectangular matrix |
| F06QJF | 13 | Permute rows or columns, real rectangular matrix, permutations represented by an integer array |
| F06QKF | 13 | Permute rows or columns, real rectangular matrix, permutations represented by a real array |
| F06QMF | 13 | Orthogonal similarity transformation of real symmetric matrix as a sequence of plane rotations |
| F06QPF | 13 | QR factorization by sequence of plane rotations, rank-1 update of real upper triangular matrix |
| F06QQF | 13 | QR factorization by sequence of plane rotations, real upper triangular matrix augmented by a full row |
| F06QRF | 13 | QR or RQ factorization by sequence of plane rotations, real upper Hessenberg matrix |
| F06QSF | 13 | QR or RQ factorization by sequence of plane rotations, real upper spiked matrix |
| F06QTF | 13 | QR factorization of UZ or RQ factorization of ZU, U real upper triangular, Z a sequence of plane rotations |
| F06QVF | 13 | Compute upper Hessenberg matrix by sequence of plane rotations, real upper triangular matrix |
| F06QWF | 13 | Compute upper spiked matrix by sequence of plane rotations, real upper triangular matrix |
| F06QXF | 13 | Apply sequence of plane rotations, real rectangular matrix |
| F06RAF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real general matrix |
| F06RBF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real band matrix |
| F06RCF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real symmetric matrix |
| F06RDF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real symmetric matrix, packed storage |
| F06REF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real symmetric band matrix |
| F06RJF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real trapezoidal/triangular matrix |
| F06RKF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real triangular matrix, packed storage |
| F06RLF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real triangular band matrix |
| F06RMF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real Hessenberg matrix |
| F06RNF | 21 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real tridiagonal matrix |
| F06RPF | 21 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, real symmetric tridiagonal matrix |
| F06SAF | 12 | Matrix-vector product, complex rectangular matrix |
| F06SBF | 12 | Matrix-vector product, complex rectangular band matrix |
| F06SCF | 12 | Matrix-vector product, complex Hermitian matrix |
| F06SDF | 12 | Matrix-vector product, complex Hermitian band matrix |
| F06SEF | 12 | Matrix-vector product, complex Hermitian packed matrix |
| F06SFF | 12 | Matrix-vector product, complex triangular matrix |
| F06SGF | 12 | Matrix-vector product, complex triangular band matrix |
| F06SHF | 12 | Matrix-vector product, complex triangular packed matrix |
| F06SJF | 12 | System of equations, complex triangular matrix |
| F06SKF | 12 | System of equations, complex triangular band matrix |
| F06SLF | 12 | System of equations, complex triangular packed matrix |
| F06SMF | 12 | Rank-1 update, complex rectangular matrix, unconjugated vector |
| F06SNF | 12 | Rank-1 update, complex rectangular matrix, conjugated vector |
| F06SPF | 12 | Rank-1 update, complex Hermitian matrix |
| F06SQF | 12 | Rank-1 update, complex Hermitian packed matrix |
| F06SRF | 12 | Rank-2 update, complex Hermitian matrix |
| F06SSF | 12 | Rank-2 update, complex Hermitian packed matrix |
| F06TAF | 21 | Matrix-vector product, complex symmetric matrix |
| F06TBF | 21 | Rank-1 update, complex symetric matrix |
| F06TCF | 21 | Matrix-vector product, complex symmetric packed matrix |
| F06TDF | 21 | Rank-1 update, complex symetric packed matrix |
| F06TFF | 13 | Matrix copy, complex rectangular or trapezoidal matrix |
| F06THF | 13 | Matrix initialization, complex rectangular matrix |
| F06TMF | 13 | Unitary similarity transformation of Hermitian matrix as a sequence of plane rotations |
| F06TPF | 13 | QR factorization by sequence of plane rotations, rank-1 update of complex upper triangular matrix |
| F06TQF | 13 | QR×k factorization by sequence of plane rotations, complex upper triangular matrix augmented by a full row |
| F06TRF | 13 | QR or RQ factorization by sequence of plane rotations, complex upper Hessenberg matrix |
| F06TSF | 13 | QR or RQ factorization by sequence of plane rotations, complex upper spiked matrix |
| F06TTF | 13 | QR factorization of UZ or RQ factorization of ZU, U complex upper triangular, Z a sequence of plane rotations |
| F06TVF | 13 | Compute upper Hessenberg matrix by sequence of plane rotations, complex upper triangular matrix |
| F06TWF | 13 | Compute upper spiked matrix by sequence of plane rotations, complex upper triangular matrix |
| F06TXF | 13 | Apply sequence of plane rotations, complex rectangular matrix, real cosine and complex sine |
| F06TYF | 13 | Apply sequence of plane rotations, complex rectangular matrix, complex cosine and real sine |
| F06UAF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex general matrix |
| F06UBF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex band matrix |
| F06UCF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex Hermitian matrix |
| F06UDF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex Hermitian matrix, packed storage |
| F06UEF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex Hermitian band matrix |
| F06UFF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex symmetric matrix |
| F06UGF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex symmetric matrix, packed storage |
| F06UHF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex symmetric band matrix |
| F06UJF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex trapezoidal/triangular matrix |
| F06UKF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex triangular matrix, packed storage |
| F06ULF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex triangular band matrix |
| F06UMF | 15 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex Hessenberg matrix |
| F06UNF | 21 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex tridiagonal matrix |
| F06UPF | 21 | 1-norm, ∞-norm, Frobenius norm, largest absolute element, complex Hermitian tridiagonal matrix |
| F06VJF | 13 | Permute rows or columns, complex rectangular matrix, permutations represented by an integer array |
| F06VKF | 13 | Permute rows or columns, complex rectangular matrix, permutations represented by a real array |
| F06VXF | 13 | Apply sequence of plane rotations, complex rectangular matrix, real cosine and sine |
| F06YAF | 14 | Matrix-matrix product, two real rectangular matrices |
| F06YCF | 14 | Matrix-matrix product, one real symmetric matrix, one real rectangular matrix |
| F06YFF | 14 | Matrix-matrix product, one real triangular matrix, one real rectangular matrix |
| F06YJF | 14 | Solves a system of equations with multiple right-hand sides, real triangular coefficient matrix |
| F06YPF | 14 | Rank-k update of a real symmetric matrix |
| F06YRF | 14 | Rank-2k update of a real symmetric matrix |
| F06ZAF | 14 | Matrix-matrix product, two complex rectangular matrices |
| F06ZCF | 14 | Matrix-matrix product, one complex Hermitian matrix, one complex rectangular matrix |
| F06ZFF | 14 | Matrix-matrix product, one complex triangular matrix, one complex rectangular matrix |
| F06ZJF | 14 | Solves system of equations with multiple right-hand sides, complex triangular coefficient matrix |
| F06ZPF | 14 | Rank-k update of a complex Hermitian matrix |
| F06ZRF | 14 | Rank-2k update of a complex Hermitian matrix |
| F06ZTF | 14 | Matrix-matrix product, one complex symmetric matrix, one complex rectangular matrix |
| F06ZUF | 14 | Rank-k update of a complex symmetric matrix |
| F06ZWF | 14 | Rank-2k update of a complex symmetric matrix |