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

Keyword : Hermitian

C06FBF   Single one-dimensional Hermitian discrete Fourier transform, extra workspace for greater speed
C06FQF   Multiple one-dimensional Hermitian discrete Fourier transforms
C06PAF   Single one-dimensional real and Hermitian complex discrete Fourier transform, using complex storage format for Hermitian sequences
C06PPF   Multiple one-dimensional real and Hermitian complex discrete Fourier transforms, using row ordered complex storage format for Hermitian sequences
C06PQF   Multiple one-dimensional real and Hermitian complex discrete Fourier transforms, using column ordered complex storage format for Hermitian sequences
F01FDF   Complex Hermitian matrix exponential
F01FFF   Function of a complex Hermitian matrix
F04CDF   Computes the solution and error-bound to a complex Hermitian positive definite system of linear equations
F04CEF   Computes the solution and error-bound to a complex Hermitian positive definite system of linear equations, packed storage
F04CFF   Computes the solution and error-bound to a complex Hermitian positive definite banded system of linear equations
F04CGF   Computes the solution and error-bound to a complex Hermitian positive definite tridiagonal system of linear equations
F04CHF   Computes the solution and error-bound to a complex Hermitian system of linear equations
F04CJF   Computes the solution and error-bound to a complex Hermitian system of linear equations, packed storage
F06CHF   Apply complex similarity rotation to 2 by 2 Hermitian matrix
F06SCF   Matrix-vector product, complex Hermitian matrix
F06SDF   Matrix-vector product, complex Hermitian band matrix
F06SEF   Matrix-vector product, complex Hermitian packed matrix
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
F06TMF   Unitary similarity transformation of Hermitian matrix as a sequence of plane rotations
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
F06UPF   1-norm, -norm, Frobenius norm, largest absolute element, complex Hermitian tridiagonal matrix
F06WNF   1-norm, -norm, Frobenius norm, largest absolute element, complex Hermitian matrix, Rectangular Full Packed format
F06ZCF   Matrix-matrix product, one complex Hermitian matrix, one complex rectangular matrix
F06ZPF   Rank-k update of a complex Hermitian matrix
F06ZRF   Rank-2k update of a complex Hermitian matrix
F07FNF   Computes the solution to a complex Hermitian positive definite system of linear equations
F07FPF   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations
F07FQF   Uses the Cholesky factorization to compute the solution for a complex Hermitian positive definite system of linear equations
F07FRF   Cholesky factorization of complex Hermitian positive definite matrix
F07FSF   Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by F07FRF
F07FTF   Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number
F07FUF   Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by F07FRF
F07FVF   Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides
F07FWF   Inverse of complex Hermitian positive definite matrix, matrix already factorized by F07FRF
F07GNF   Computes the solution to a complex Hermitian positive definite system of linear equations, packed storage
F07GPF   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite system of linear equations, packed storage
F07GRF   Cholesky factorization of complex Hermitian positive definite matrix, packed storage
F07GSF   Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, matrix already factorized by F07GRF, packed storage
F07GTF   Computes row and column scalings intended to equilibrate a complex Hermitian positive definite matrix and reduce its condition number, packed storage
F07GUF   Estimate condition number of complex Hermitian positive definite matrix, matrix already factorized by F07GRF, packed storage
F07GVF   Refined solution with error bounds of complex Hermitian positive definite system of linear equations, multiple right-hand sides, packed storage
F07GWF   Inverse of complex Hermitian positive definite matrix, matrix already factorized by F07GRF, packed storage
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
F07JNF   Computes the solution to a complex Hermitian positive definite tridiagonal system of linear equations
F07JPF   Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a complex Hermitian positive definite tridiagonal system of linear equations
F07JRF   Computes the modified Cholesky factorization of a complex Hermitian positive definite tridiagonal matrix
F07JSF   Solves a complex Hermitian positive definite tridiagonal system using the modified Cholesky factorization computed by F07JRF
F07JUF   Computes the reciprocal of the condition number of a complex Hermitian positive definite tridiagonal system using the modified Cholesky factorization computed by F07JRF
F07JVF   Refined solution with error bounds of complex Hermitian positive definite tridiagonal system of linear equations, multiple right-hand sides
F07KRF   Cholesky factorization of complex Hermitian positive semidefinite matrix
F07MNF   Computes the solution to a complex Hermitian system of linear equations
F07MPF   Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations
F07MRF   Bunch–Kaufman factorization of complex Hermitian indefinite matrix
F07MSF   Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07MRF
F07MUF   Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by F07MRF
F07MVF   Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides
F07MWF   Inverse of complex Hermitian indefinite matrix, matrix already factorized by F07MRF
F07NNF   Computes the solution to a complex symmetric system of linear equations
F07NPF   Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations
F07PNF   Computes the solution to a complex Hermitian system of linear equations, packed storage
F07PPF   Uses the diagonal pivoting factorization to compute the solution to a complex Hermitian system of linear equations, packed storage
F07PRF   Bunch–Kaufman factorization of complex Hermitian indefinite matrix, packed storage
F07PSF   Solution of complex Hermitian indefinite system of linear equations, multiple right-hand sides, matrix already factorized by F07PRF, packed storage
F07PUF   Estimate condition number of complex Hermitian indefinite matrix, matrix already factorized by F07PRF, packed storage
F07PVF   Refined solution with error bounds of complex Hermitian indefinite system of linear equations, multiple right-hand sides, packed storage
F07PWF   Inverse of complex Hermitian indefinite matrix, matrix already factorized by F07PRF, packed storage
F07QNF   Computes the solution to a complex symmetric system of linear equations, packed storage
F07QPF   Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations, packed storage
F07WRF   Cholesky factorization of complex Hermitian positive definite matrix, Rectangular Full Packed format
F07WSF   Solution of complex Hermitian positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by F07WRF, Rectangular Full Packed format
F07WWF   Inverse of complex Hermitian positive definite matrix, matrix already factorized by F07WRF, Rectangular Full Packed format
F08FLF   Computes the reciprocal condition numbers for the eigenvectors of a real symmetric or complex Hermitian matrix or for the left or right singular vectors of a general matrix
F08FNF   Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix
F08FPF   Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix
F08FQF   Computes all eigenvalues and, optionally, all eigenvectors of complex Hermitian matrix (divide-and-conquer)
F08FRF   Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix (Relatively Robust Representations)
F08FSF   Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form
F08GNF   Computes all eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix, packed storage
F08GPF   Computes selected eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix, packed storage
F08GQF   Computes all eigenvalues and, optionally, all eigenvectors of complex Hermitian matrix, packed storage (divide-and-conquer)
F08GSF   Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form, packed storage
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
F08JSF   All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from complex Hermitian matrix, using the implicit QL or QR algorithm
F08JUF   Computes all eigenvalues and eigenvectors of real symmetric positive definite tridiagonal matrix, reduced from complex Hermitian positive definite matrix
F08JVF   Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a complex Hermitian matrix reduced to this form (divide-and-conquer)
F08JYF   Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a complex Hermitian matrix reduced to this form (Relatively Robust Representations)
F08SNF   Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem
F08UTF   Computes a split Cholesky factorization of complex Hermitian positive definite band matrix A
F11GRF   Complex sparse Hermitian linear systems, setup for F11GSF
F11GSF   Complex sparse Hermitian linear systems, preconditioned conjugate gradient or Lanczos
F11GTF   Complex sparse Hermitian linear systems, diagnostic for F11GSF
F11JNF   Complex sparse Hermitian matrix, incomplete Cholesky factorization
F11JQF   Solution of complex sparse Hermitian linear system, conjugate gradient/Lanczos method, preconditioner computed by F11JNF (Black Box)
F11JRF   Solution of linear system involving preconditioning matrix generated by applying SSOR to complex sparse Hermitian matrix
F11JSF   Solution of complex sparse Hermitian linear system, conjugate gradient/Lanczos method, Jacobi or SSOR preconditioner (Black Box)
F11XSF   Complex sparse Hermitian matrix vector multiply
F11ZPF   Complex sparse Hermitian matrix reorder routine

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

© The Numerical Algorithms Group Ltd, Oxford UK. 2013