B Index Page
Keyword Index for the NAG Library Manual
NAG Library Manual

Keyword : Band

F01BUF   ULDLTUT factorization of real symmetric positive definite band matrix
F03BHF   Determinant of real symmetric positive definite banded matrix
F04BBF   Computes the solution and error-bound to a real banded system of linear equations
F04BFF   Computes the solution and error-bound to a real symmetric positive definite banded system of linear equations
F04CBF   Computes the solution and error-bound to a complex banded system of linear equations
F04CFF   Computes the solution and error-bound to a complex Hermitian positive definite banded system of linear equations
F06PBF   Matrix-vector product, real rectangular band matrix
F06PDF   Matrix-vector product, real symmetric band matrix
F06PGF   Matrix-vector product, real triangular band matrix
F06PKF   System of equations, real triangular band matrix
F06RBF   1-norm, -norm, Frobenius norm, largest absolute element, real band matrix
F06REF   1-norm, -norm, Frobenius norm, largest absolute element, real symmetric band matrix
F06RLF   1-norm, -norm, Frobenius norm, largest absolute element, real triangular band matrix
F06SBF   Matrix-vector product, complex rectangular band matrix
F06SDF   Matrix-vector product, complex Hermitian band matrix
F06SGF   Matrix-vector product, complex triangular band matrix
F06SKF   System of equations, complex triangular band matrix
F06UBF   1-norm, -norm, Frobenius norm, largest absolute element, complex band matrix
F06UEF   1-norm, -norm, Frobenius norm, largest absolute element, complex Hermitian band matrix
F06UHF   1-norm, -norm, Frobenius norm, largest absolute element, complex symmetric band matrix
F06ULF   1-norm, -norm, Frobenius norm, largest absolute element, complex triangular band matrix
F07BAF   Computes the solution to a real banded system of linear equations
F07BBF   Uses the LU factorization to compute the solution, error-bound and condition estimate for a real banded system of linear equations
F07BDF   LU factorization of real m by n band matrix
F07BEF   Solution of real band system of linear equations, multiple right-hand sides, matrix already factorized by F07BDF
F07BFF   Computes row and column scalings intended to equilibrate a real banded matrix and reduce its condition number
F07BGF   Estimate condition number of real band matrix, matrix already factorized by F07BDF
F07BHF   Refined solution with error bounds of real band system of linear equations, multiple right-hand sides
F07BNF   Computes the solution to a complex banded system of linear equations
F07BPF   Uses the LU factorization to compute the solution, error-bound and condition estimate for a complex banded system of linear equations
F07BRF   LU factorization of complex m by n band matrix
F07BSF   Solution of complex band system of linear equations, multiple right-hand sides, matrix already factorized by F07BRF
F07BTF   Computes row and column scalings intended to equilibrate a complex banded matrix and reduce its condition number
F07BUF   Estimate condition number of complex band matrix, matrix already factorized by F07BRF
F07BVF   Refined solution with error bounds of complex band system of linear equations, multiple right-hand sides
F07HAF   Computes the solution to a real symmetric positive definite banded system of linear equations
F07HBF   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite banded system of linear equations
F07HDF   Cholesky factorization of real symmetric positive definite band matrix
F07HEF   Solution of real symmetric positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by F07HDF
F07HFF   Computes row and column scalings intended to equilibrate a real symmetric positive definite banded matrix and reduce its condition number
F07HGF   Estimate condition number of real symmetric positive definite band matrix, matrix already factorized by F07HDF
F07HHF   Refined solution with error bounds of real symmetric positive definite band system of linear equations, multiple right-hand sides
F07HNF   Computes the solution to a complex Hermitian positive definite banded system of linear equations
F07HPF   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite banded system of linear equations
F07HRF   Cholesky factorization of complex Hermitian positive definite band matrix
F07HSF   Solution of complex Hermitian positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by F07HRF
F07HTF   Computes row and column scalings intended to equilibrate a complex Hermitian positive definite banded matrix and reduce its condition number
F07HUF   Estimate condition number of complex Hermitian positive definite band matrix, matrix already factorized by F07HRF
F07HVF   Refined solution with error bounds of complex Hermitian positive definite band system of linear equations, multiple right-hand sides
F07VEF   Solution of real band triangular system of linear equations, multiple right-hand sides
F07VGF   Estimate condition number of real band triangular matrix
F07VHF   Error bounds for solution of real band triangular system of linear equations, multiple right-hand sides
F07VSF   Solution of complex band triangular system of linear equations, multiple right-hand sides
F07VUF   Estimate condition number of complex band triangular matrix
F07VVF   Error bounds for solution of complex band triangular system of linear equations, multiple right-hand sides
F08HAF   Computes all eigenvalues and, optionally, eigenvectors of a real symmetric band matrix
F08HBF   Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric band matrix
F08HCF   Computes all eigenvalues and, optionally, all eigenvectors of real symmetric band matrix (divide-and-conquer)
F08HEF   Orthogonal reduction of real symmetric band matrix to symmetric tridiagonal form
F08HNF   Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix
F08HPF   Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian band matrix
F08HQF   Computes all eigenvalues and, optionally, all eigenvectors of complex Hermitian band matrix (divide-and-conquer)
F08HSF   Unitary reduction of complex Hermitian band matrix to real symmetric tridiagonal form
F08LEF   Reduction of real rectangular band matrix to upper bidiagonal form
F08LSF   Reduction of complex rectangular band matrix to upper bidiagonal form
F08UAF   Computes all the eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem
F08UBF   Computes selected eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem
F08UCF   Computes all the eigenvalues, and optionally, the eigenvectors of a real banded generalized symmetric-definite eigenproblem (divide-and-conquer)
F08UEF   Reduction of real symmetric-definite banded generalized eigenproblem Ax=λBx to standard form Cy=λy, such that C has the same bandwidth as A
F08UFF   Computes a split Cholesky factorization of real symmetric positive definite band matrix A
F08UNF   Computes all the eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem
F08UPF   Computes selected eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem
F08UQF   Computes all the eigenvalues, and optionally, the eigenvectors of a complex banded generalized Hermitian-definite eigenproblem (divide-and-conquer)
F08USF   Reduction of complex Hermitian-definite banded generalized eigenproblem Ax=λBx to standard form Cy=λ y, such that C has the same bandwidth as A
F08UTF   Computes a split Cholesky factorization of complex Hermitian positive definite band matrix A
F16RBF   1-norm, -norm, Frobenius norm, largest absolute element, real band matrix
F16UBF   1-norm, -norm, Frobenius norm, largest absolute element, complex band matrix

B Index Page
Keyword Index for the NAG Library Manual
NAG Library Manual

© The Numerical Algorithms Group Ltd, Oxford UK. 2013