# D2b2 : Positive-definite banded

 F01MCF $LD{L}^{\mathrm{T}}$ factorization of real symmetric positive definite variable-bandwidth matrix 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 F04MCF Solution of real symmetric positive definite variable-bandwidth simultaneous linear equations (coefficient matrix already factorized by F01MCF) 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 F08UFF Computes a split Cholesky factorization of real symmetric positive definite band matrix $A$ F08UTF Computes a split Cholesky factorization of complex Hermitian positive definite band matrix $A$

 D2b2a: Tridiagonal (6 routines)

© The Numerical Algorithms Group Ltd, Oxford UK. 2013