S Index Page
Keyword Index for the NAG C Library Manual
NAG C Library Manual

Keyword : Symmetric

f01edc   Real symmetric matrix exponential
f01efc   Function of a real symmetric matrix
f01mcc   LDLT factorization of real symmetric positive definite variable-bandwidth (skyline) matrix
f02aac   All eigenvalues of real symmetric matrix
f02abc   All eigenvalues and eigenvectors of real symmetric matrix
f03bfc   LLT factorization and determinant of real symmetric positive definite matrix
f03bhc   Determinant of real symmetric positive definite banded matrix
f04bdc   Computes the solution and error-bound to a real symmetric positive definite system of linear equations
f04bec   Computes the solution and error-bound to a real symmetric positive definite system of linear equations, packed storage
f04bfc   Computes the solution and error-bound to a real symmetric positive definite banded system of linear equations
f04bgc   Computes the solution and error-bound to a real symmetric positive definite tridiagonal system of linear equations
f04bhc   Computes the solution and error-bound to a real symmetric system of linear equations
f04bjc   Computes the solution and error-bound to a real symmetric system of linear equations, packed storage
f04dhc   Computes the solution and error-bound to a complex symmetric system of linear equations
f04djc   Computes the solution and error-bound to a complex symmetric system of linear equations, packed storage
f04mcc   Approximate solution of real symmetric positive definite variable-bandwidth simultaneous linear equations (coefficient matrix already factorized by f01mcc)
f07fbc   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations
f07fdc   Cholesky factorization of real symmetric positive definite matrix
f07fec   Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07fdc
f07ffc   Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number
f07fgc   Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07fdc
f07fhc   Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides
f07fjc   Inverse of real symmetric positive definite matrix, matrix already factorized by f07fdc
f07gac   Computes the solution to a real symmetric positive definite system of linear equations, packed storage
f07gbc   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite system of linear equations, packed storage
f07gdc   Cholesky factorization of real symmetric positive definite matrix, packed storage
f07gec   Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, matrix already factorized by f07gdc, packed storage
f07gfc   Computes row and column scalings intended to equilibrate a real symmetric positive definite matrix and reduce its condition number, packed storage
f07ggc   Estimate condition number of real symmetric positive definite matrix, matrix already factorized by f07gdc, packed storage
f07ghc   Refined solution with error bounds of real symmetric positive definite system of linear equations, multiple right-hand sides, packed storage
f07gjc   Inverse of real symmetric positive definite matrix, matrix already factorized by f07gdc, packed storage
f07hac   Computes the solution to a real symmetric positive definite banded system of linear equations
f07hbc   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite banded system of linear equations
f07hdc   Cholesky factorization of real symmetric positive definite band matrix
f07hec   Solution of real symmetric positive definite band system of linear equations, multiple right-hand sides, matrix already factorized by f07hdc
f07hfc   Computes row and column scalings intended to equilibrate a real symmetric positive definite banded matrix and reduce its condition number
f07hgc   Estimate condition number of real symmetric positive definite band matrix, matrix already factorized by f07hdc
f07hhc   Refined solution with error bounds of real symmetric positive definite band system of linear equations, multiple right-hand sides
f07jac   Computes the solution to a real symmetric positive definite tridiagonal system of linear equations
f07jbc   Uses the modified Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive definite tridiagonal system of linear equations
f07jdc   Computes the modified Cholesky factorization of a real symmetric positive definite tridiagonal matrix
f07jec   Solves a real symmetric positive definite tridiagonal system using the modified Cholesky factorization computed by f07jdc
f07jgc   Computes the reciprocal of the condition number of a real symmetric positive definite tridiagonal system using the modified Cholesky factorization computed by f07jdc
f07jhc   Refined solution with error bounds of real symmetric positive definite tridiagonal system of linear equations, multiple right-hand sides
f07mdc   Bunch–Kaufman factorization of real symmetric indefinite matrix
f07mec   Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07mdc
f07mgc   Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07mdc
f07mhc   Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides
f07mjc   Inverse of real symmetric indefinite matrix, matrix already factorized by f07mdc
f07nrc   Bunch–Kaufman factorization of complex symmetric matrix
f07nsc   Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07nrc
f07nuc   Estimate condition number of complex symmetric matrix, matrix already factorized by f07nrc
f07nvc   Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides
f07nwc   Inverse of complex symmetric matrix, matrix already factorized by f07nrc
f07pac   Computes the solution to a real symmetric system of linear equations, packed storage
f07pbc   Uses the diagonal pivoting factorization to compute the solution to a real symmetric system of linear equations, packed storage
f07pdc   Bunch–Kaufman factorization of real symmetric indefinite matrix, packed storage
f07pec   Solution of real symmetric indefinite system of linear equations, multiple right-hand sides, matrix already factorized by f07pdc, packed storage
f07pgc   Estimate condition number of real symmetric indefinite matrix, matrix already factorized by f07pdc, packed storage
f07phc   Refined solution with error bounds of real symmetric indefinite system of linear equations, multiple right-hand sides, packed storage
f07pjc   Inverse of real symmetric indefinite matrix, matrix already factorized by f07pdc, packed storage
f07qnc   Computes the solution to a complex symmetric system of linear equations, packed storage
f07qpc   Uses the diagonal pivoting factorization to compute the solution to a complex symmetric system of linear equations, packed storage
f07qrc   Bunch–Kaufman factorization of complex symmetric matrix, packed storage
f07qsc   Solution of complex symmetric system of linear equations, multiple right-hand sides, matrix already factorized by f07qrc, packed storage
f07quc   Estimate condition number of complex symmetric matrix, matrix already factorized by f07qrc, packed storage
f07qvc   Refined solution with error bounds of complex symmetric system of linear equations, multiple right-hand sides, packed storage
f07qwc   Inverse of complex symmetric matrix, matrix already factorized by f07qrc, packed storage
f08fac   Computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix
f08fbc   Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix
f08fcc   Computes all eigenvalues and, optionally, all eigenvectors of real symmetric matrix (divide-and-conquer)
f08fdc   Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix (Relatively Robust Representations)
f08fec   Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form
f08flc   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
f08fsc   Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form
f08gac   Computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix, packed storage
f08gbc   Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix, packed storage
f08gcc   Computes all eigenvalues and, optionally, all eigenvectors of real symmetric matrix, packed storage (divide-and-conquer)
f08gec   Orthogonal reduction of real symmetric matrix to symmetric tridiagonal form, packed storage
f08gsc   Unitary reduction of complex Hermitian matrix to real symmetric tridiagonal form, packed storage
f08hac   Computes all eigenvalues and, optionally, eigenvectors of a real symmetric band matrix
f08hbc   Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric band matrix
f08hcc   Computes all eigenvalues and, optionally, all eigenvectors of real symmetric band matrix (divide-and-conquer)
f08hec   Orthogonal reduction of real symmetric band matrix to symmetric tridiagonal form
f08hsc   Unitary reduction of complex Hermitian band matrix to real symmetric tridiagonal form
f08jbc   Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix
f08jcc   Computes all eigenvalues and, optionally, all eigenvectors of real symmetric tridiagonal matrix (divide-and-conquer)
f08jdc   Computes selected eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix (Relatively Robust Representations)
f08jec   All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from real symmetric matrix using the implicit QL or QR algorithm
f08jfc   All eigenvalues of real symmetric tridiagonal matrix, root-free variant of the QL or QR algorithm
f08jgc   Computes all eigenvalues and eigenvectors of real symmetric positive definite tridiagonal matrix, reduced from real symmetric positive definite matrix
f08jhc   Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a matrix reduced to this form (divide-and-conquer)
f08jjc   Selected eigenvalues of real symmetric tridiagonal matrix by bisection
f08jkc   Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in real array
f08jlc   Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a symmetric matrix reduced to this form (Relatively Robust Representations)
f08jsc   All eigenvalues and eigenvectors of real symmetric tridiagonal matrix, reduced from complex Hermitian matrix, using the implicit QL or QR algorithm
f08juc   Computes all eigenvalues and eigenvectors of real symmetric positive definite tridiagonal matrix, reduced from complex Hermitian positive definite matrix
f08jvc   Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a complex Hermitian matrix reduced to this form (divide-and-conquer)
f08jxc   Selected eigenvectors of real symmetric tridiagonal matrix by inverse iteration, storing eigenvectors in complex array
f08jyc   Computes all eigenvalues and, optionally, eigenvectors of a real symmetric tridiagonal matrix or a complex Hermitian matrix reduced to this form (Relatively Robust Representations)
f08ufc   Computes a split Cholesky factorization of real symmetric positive definite band matrix A
f11gdc   Real sparse symmetric linear systems, setup for f11gec
f11gec   Real sparse symmetric linear systems, preconditioned conjugate gradient or Lanczos method or the MINRES algorithm
f11gfc   Real sparse symmetric linear systems, diagnostic for f11gec
f11jac   Incomplete Cholesky factorization (symmetric)
f11jcc   Solver with incomplete Cholesky preconditioning (symmetric)
f11jdc   Solution of linear system involving preconditioning matrix generated by applying SSOR to real sparse symmetric matrix
f11jec   Solver with Jacobi, SSOR, or no preconditioning (symmetric)
f11xec   Real sparse symmetric matrix vector multiply
f11zbc   Sparse sort (symmetric)
f16pcc   Matrix-vector product, real symmetric matrix
f16pdc   Matrix-vector product, real symmetric band matrix
f16pec   Matrix-vector product, real symmetric packed matrix
f16ppc   Rank-1 update, real symmetric matrix
f16pqc   Rank-1 update, real symmetric packed matrix
f16prc   Rank-2 update, real symmetric matrix
f16psc   Rank-2 update, real symmetric packed matrix
f16rcc   1-norm, -norm, Frobenius norm, largest absolute element, real symmetric matrix
f16rdc   1-norm, -norm, Frobenius norm, largest absolute element, real symmetric matrix, packed storage
f16rec   1-norm, -norm, Frobenius norm, largest absolute element, real symmetric band matrix
f16tac   Matrix-vector product, complex symmetric matrix
f16tcc   Matrix-vector product, complex symmetric packed matrix
f16ufc   1-norm, -norm, Frobenius norm, largest absolute element, complex symmetric matrix
f16ugc   1-norm, -norm, Frobenius norm, largest absolute element, complex symmetric matrix, packed storage
f16ycc   Matrix-matrix product, one real symmetric matrix, one real rectangular matrix
f16ypc   Rank-k update of a real symmetric matrix
f16yrc   Rank-2k update of a real symmetric matrix
f16ztc   Matrix-matrix product, one complex symmetric matrix, one complex rectangular matrix
f16zuc   Rank-k update of a complex symmetric matrix
f16zwc   Rank-2k update of a complex symmetric matrix

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Keyword Index for the NAG C Library Manual
NAG C Library Manual

© The Numerical Algorithms Group Ltd, Oxford UK. 2012