| Chapter Introduction |
| F06AAF
|
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 (a2 + b2), 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
|
Dot product of two real vectors |
| F06ECF
|
Add scalar times real vector to real vector |
| F06EDF
|
Multiply real vector by scalar |
| F06EFF
|
Copy real vector |
| F06EGF
|
Swap two real vectors |
| F06EJF
|
Compute Euclidean norm of real vector |
| F06EKF
|
Sum absolute values of real vector elements
|
| F06EPF
|
Apply real plane rotation |
| F06ERF
|
Dot product of two real sparse vectors |
| F06ETF
|
Add scalar times real sparse vector to real sparse vector |
| F06EUF
|
Gather real sparse vector |
| F06EVF
|
Gather and set to zero real sparse vector |
| F06EWF
|
Scatter real sparse vector |
| F06EXF
|
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
|
Dot product of two complex vectors, unconjugated |
| F06GBF
|
Dot product of two complex vectors, conjugated |
| F06GCF
|
Add scalar times complex vector to complex vector |
| F06GDF
|
Multiply complex vector by complex scalar |
| F06GFF
|
Copy complex vector |
| F06GGF
|
Swap two complex vectors |
| F06GRF
|
Dot product of two complex sparse vector, unconjugated |
| F06GSF
|
Dot product of two complex sparse vector, conjugated |
| F06GTF
|
Add scalar times complex sparse vector to complex sparse vector |
| F06GUF
|
Gather complex sparse vector |
| F06GVF
|
Gather and set to zero complex sparse vector |
| F06GWF
|
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
|
Multiply complex vector by real scalar |
| F06JJF
|
Compute Euclidean norm of complex vector |
| F06JKF
|
Sum absolute values of complex vector elements
|
| F06JLF
|
Index, real vector element with largest absolute value
|
| F06JMF
|
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
|
Matrix-vector product, real rectangular matrix
|
| F06PBF
|
Matrix-vector product, real rectangular band matrix
|
| F06PCF
|
Matrix-vector product, real symmetric matrix
|
| F06PDF
|
Matrix-vector product, real symmetric band matrix
|
| F06PEF
|
Matrix-vector product, real symmetric packed matrix
|
| F06PFF
|
Matrix-vector product, real triangular matrix
|
| F06PGF
|
Matrix-vector product, real triangular band matrix
|
| F06PHF
|
Matrix-vector product, real triangular packed matrix
|
| F06PJF
|
System of equations, real triangular matrix
|
| F06PKF
|
System of equations, real triangular band matrix
|
| F06PLF
|
System of equations, real triangular packed matrix
|
| F06PMF
|
Rank-1 update, real rectangular matrix
|
| F06PPF
|
Rank-1 update, real symmetric matrix
|
| F06PQF
|
Rank-1 update, real symmetric packed matrix
|
| F06PRF
|
Rank-2 update, real symmetric matrix
|
| F06PSF
|
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, ∞-norm, Frobenius norm, largest absolute element, real general matrix
|
| F06RBF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, real band matrix
|
| F06RCF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, real symmetric matrix
|
| F06RDF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, real symmetric matrix, packed storage
|
| F06REF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, real symmetric band matrix
|
| F06RJF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, real trapezoidal/triangular matrix
|
| F06RKF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, real triangular matrix, packed storage
|
| F06RLF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, real triangular band matrix
|
| F06RMF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, real Hessenberg matrix
|
| F06SAF
|
Matrix-vector product, complex rectangular matrix
|
| F06SBF
|
Matrix-vector product, complex rectangular band matrix
|
| F06SCF
|
Matrix-vector product, complex Hermitian matrix
|
| F06SDF
|
Matrix-vector product, complex Hermitian band matrix
|
| F06SEF
|
Matrix-vector product, complex Hermitian packed matrix
|
| F06SFF
|
Matrix-vector product, complex triangular matrix
|
| F06SGF
|
Matrix-vector product, complex triangular band matrix
|
| F06SHF
|
Matrix-vector product, complex triangular packed matrix
|
| F06SJF
|
System of equations, complex triangular matrix
|
| F06SKF
|
System of equations, complex triangular band matrix
|
| F06SLF
|
System of equations, complex triangular packed matrix
|
| F06SMF
|
Rank-1 update, complex rectangular matrix, unconjugated vector |
| F06SNF
|
Rank-1 update, complex rectangular matrix, conjugated vector |
| F06SPF
|
Rank-1 update, complex Hermitian matrix
|
| F06SQF
|
Rank-1 update, complex Hermitian packed matrix
|
| F06SRF
|
Rank-2 update, complex Hermitian matrix
|
| F06SSF
|
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
|
QR × k 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, ∞-norm, Frobenius norm, largest absolute element, complex general matrix
|
| F06UBF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, complex band matrix
|
| F06UCF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, complex Hermitian matrix
|
| F06UDF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, complex Hermitian matrix, packed storage
|
| F06UEF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, complex Hermitian band matrix
|
| F06UFF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, complex symmetric matrix
|
| F06UGF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, complex symmetric matrix, packed storage
|
| F06UHF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, complex symmetric band matrix
|
| F06UJF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, complex trapezoidal/triangular matrix
|
| F06UKF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, complex triangular matrix, packed storage
|
| F06ULF
|
1-norm, ∞-norm, Frobenius norm, largest absolute element, complex triangular band matrix
|
| F06UMF
|
1-norm, ∞-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
|
Matrix-matrix product, two real rectangular matrices
|
| F06YCF
|
Matrix-matrix product, one real symmetric matrix, one real rectangular matrix
|
| F06YFF
|
Matrix-matrix product, one real triangular matrix, one real rectangular matrix
|
| F06YJF
|
Solves system of equations with multiple right-hand sides, real triangular coefficient matrix
|
| F06YPF
|
Rank-k update of real symmetric matrix
|
| F06YRF
|
Rank-2k update of real symmetric matrix
|
| F06ZAF
|
Matrix-matrix product, two complex rectangular matrices
|
| F06ZCF
|
Matrix-matrix product, one complex Hermitian matrix, one complex rectangular matrix
|
| F06ZFF
|
Matrix-matrix product, one complex triangular matrix, one complex rectangular matrix
|
| F06ZJF
|
Solves system of equations with multiple right-hand sides, complex triangular coefficient matrix
|
| F06ZPF
|
Rank-k update of complex Hermitian matrix
|
| F06ZRF
|
Rank-2k update of complex Hermitian matrix
|
| F06ZTF
|
Matrix-matrix product, one complex symmetric matrix, one complex rectangular matrix
|
| F06ZUF
|
Rank-k update of complex symmetric matrix
|
| F06ZWF
|
Rank-2k update of complex symmetric matrix
|
