# D2b1b : Positive-definite

 F01ABF Inverse of real symmetric positive definite matrix using iterative refinement F01ADF Inverse of real symmetric positive definite matrix F01BUF $ULD{L}^{\mathrm{T}}{U}^{\mathrm{T}}$ factorization of real symmetric positive definite band matrix F03BFF 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) 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 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 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 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 F07KDF Cholesky factorization of real symmetric 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

© The Numerical Algorithms Group Ltd, Oxford UK. 2013