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	$U L D L^{T} U^{T}$ factorization of real symmetric positive definite band matrix
F01MCF	$L D L^{T}$ factorization of real symmetric positive definite variable-bandwidth matrix
F03BFF	Determinant of real symmetric positive definite matrix
F03BHF	Determinant of real symmetric positive definite banded matrix
F04ABF	Solution of real symmetric positive definite simultaneous linear equations with multiple right-hand sides using iterative refinement (Black Box)
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
F07FCF	Uses the Cholesky factorization to compute the solution 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
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
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
F07KDF	Cholesky factorization of real symmetric positive semidefinite matrix
F07KRF	Cholesky factorization of complex Hermitian positive semidefinite matrix
F07WDF	Cholesky factorization of real symmetric positive definite matrix, Rectangular Full Packed format
F07WEF	Solution of real symmetric positive definite system of linear equations, multiple right-hand sides, coefficient matrix already factorized by F07WDF, Rectangular Full Packed format
F07WJF	Inverse of real symmetric positive definite matrix, matrix already factorized by F07WDF, Rectangular Full Packed format
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
F08JGF	Computes all eigenvalues and eigenvectors of real symmetric positive definite tridiagonal matrix, reduced from real symmetric positive definite matrix
F08JUF	Computes 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 $A x = λ B x$ , $A B x = λ x$ or $B A x = λ x$ , $B$ 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 $A x = λ B x$ , $A B x = λ x$ or $B A x = λ x$ , $B$ 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 $A x = λ B x$ , $A B x = λ x$ or $B A x = λ x$ , 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 $A x = λ B x$ , $A B x = λ x$ or $B A x = λ x$ , 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 $A x = λ B x$ to standard form $C y = λ y$ , 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 $A x = λ B x$ to standard form $C y = λ y$ , such that $C$ has the same bandwidth as $A$
F08UTF	Computes a split Cholesky factorization of complex Hermitian positive definite band matrix $A$

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