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

Keyword : definite

E01BHF   Interpolated values, interpolant computed by E01BEF, definite integral, one variable
E02BDF   Evaluation of fitted cubic spline, definite integral
F01ABF   Inverse of real symmetric positive-definite matrix using iterative refinement
F01ADF   Inverse of real symmetric positive-definite matrix
F01BUF   ULDLTUT factorization of real symmetric positive-definite band matrix
F01MCF   LDLT factorization of real symmetric positive-definite variable-bandwidth matrix
F03ABF   Determinant of real symmetric positive-definite matrix (Black Box)
F03ACF   Determinant of real symmetric positive-definite band matrix (Black Box)
F03AEF   LLT factorization and determinant of real symmetric positive-definite matrix
F04ABF   Solution of real symmetric positive-definite simultaneous linear equations with multiple right-hand sides using iterative refinement (Black Box)
F04AFF   Solution of real symmetric positive-definite simultaneous linear equations using iterative refinement (coefficient matrix already factorized by F03AEF)
F04AGF   Solution of real symmetric positive-definite simultaneous linear equations (coefficient matrix already factorized by F03AEF)
F04ASF   Solution of real symmetric positive-definite simultaneous linear equations, one right-hand side using iterative refinement (Black Box)
F04BDF   Computes the solution and error-bound to a real symmetric positive-definite system of linear equations
F04BEF   Computes the solution and error-bound to a real symmetric positive-definite system of linear equations, packed storage
F04BFF   Computes the solution and error-bound to a real symmetric positive-definite banded system of linear equations
F04BGF   Computes the solution and error-bound to a real symmetric positive-definite tridiagonal system of linear equations
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
F04FEF   Solution of the Yule–Walker equations for real symmetric positive-definite Toeplitz matrix, one right-hand side
F04FFF   Solution of real symmetric positive-definite Toeplitz system, one right-hand side
F04MCF   Solution of real symmetric positive-definite variable-bandwidth simultaneous linear equations (coefficient matrix already factorized by F01MCF)
F04MEF   Update solution of the Yule–Walker equations for real symmetric positive-definite Toeplitz matrix
F04MFF   Update solution of real symmetric positive-definite Toeplitz system
F07FAF   Computes the solution to a real symmetric positive-definite system of linear equations
F07FBF   Uses the Cholesky factorization to compute the solution, error-bound and condition estimate for a real symmetric positive-definite system of linear equations
F07FDF   Cholesky factorization of real symmetric positive-definite matrix
F07FEF   Solution of real symmetric positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07FDF
F07FFF   Computes row and column scalings intended to equilibrate a real symmetric positive-definite matrix and reduce its condition number
F07FGF   Estimate condition number of real symmetric positive-definite matrix, matrix already factorized by F07FDF
F07FHF   Refined solution with error bounds of real symmetric positive-definite system of linear equations, multiple right-hand sides
F07FJF   Inverse of real symmetric positive-definite matrix, matrix already factorized by F07FDF
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
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
F07GAF   Computes the solution to a real symmetric positive-definite system of linear equations, packed storage
F07GBF   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
F07GDF   Cholesky factorization of real symmetric positive-definite matrix, packed storage
F07GEF   Solution of real symmetric positive-definite system of linear equations, multiple right-hand sides, matrix already factorized by F07GDF, packed storage
F07GFF   Computes row and column scalings intended to equilibrate a real symmetric positive-definite matrix and reduce its condition number, packed storage
F07GGF   Estimate condition number of real symmetric positive-definite matrix, matrix already factorized by F07GDF, packed storage
F07GHF   Refined solution with error bounds of real symmetric positive-definite system of linear equations, multiple right-hand sides, packed storage
F07GJF   Inverse of real symmetric positive-definite matrix, matrix already factorized by F07GDF, packed storage
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
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
F07JAF   Computes the solution to a real symmetric positive-definite tridiagonal system of linear equations
F07JBF   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
F07JDF   Computes the modified Cholesky factorization of a real symmetric positive-definite tridiagonal matrix
F07JEF   Solves a real symmetric positive-definite tridiagonal system using the modified Cholesky factorization computed by F07JDF
F07JGF   Computes the reciprocal of the condition number of a real symmetric positive-definite tridiagonal system using the modified Cholesky factorization computed by F07JDF
F07JHF   Refined solution with error bounds of real symmetric positive-definite tridiagonal 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
F08JGF   All eigenvalues and eigenvectors of real symmetric positive-definite tridiagonal matrix, reduced from real symmetric positive-definite matrix
F08JUF   All eigenvalues and eigenvectors of real symmetric positive-definite tridiagonal matrix, reduced from complex Hermitian positive-definite matrix
F08SAF   Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem
F08SBF   Computes selected eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem
F08SCF   Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem (divide-and-conquer)
F08SEF   Reduction to standard form of real symmetric-definite generalized eigenproblem Ax=λBx, ABx=λx or BAx=λx, B factorized by F07FDF
F08SNF   Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem
F08SPF   Computes selected eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem
F08SQF   Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem (divide-and-conquer)
F08SSF   Reduction to standard form of complex Hermitian-definite generalized eigenproblem Ax=λBx, ABx=λx or BAx=λx, B factorized by F07FRF
F08TAF   Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, packed storage
F08TBF   Computes selected eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, packed storage
F08TCF   Computes all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, packed storage (divide-and-conquer)
F08TEF   Reduction to standard form of real symmetric-definite generalized eigenproblem Ax=λBx, ABx=λx or BAx=λx, packed storage, B factorized by F07GDF
F08TNF   Computes all the eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem, packed storage
F08TPF   Computes selected eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem, packed storage
F08TQF   Computes selected eigenvalues, and optionally, the eigenvectors of a complex generalized Hermitian-definite eigenproblem, packed storage (divide-and-conquer)
F08TSF   Reduction to standard form of complex Hermitian-definite generalized eigenproblem Ax=λBx, ABx=λx or BAx=λx, packed storage, B factorized by F07GRF
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

D Index Page
Keyword Index for the NAG Library Manual
NAG Library Manual
© The Numerical Algorithms Group Ltd, Oxford UK. 2006