zpbsv zpbsvx zptsv zptsvx

zptsv() void zptsv ( int  n, int  nrhs, double  d[], doublecomplex  e[], int  ldb, doublecomplex  b[], int *  info  ) (Simple driver) Solution to system of linear equations AX = B for a Hermitian positive definite tridiagonal matrix Purpose This routine computes the solution to a complex system of linear equations A * X = B, where A is an n x n Hermitian positive definite tridiagonal matrix, and X and B are n x nrhs matrices. A is factored as A = L*D*L^H, and the factored form of A is then used to solve the system of equations. Parameters [in] n Order of the matrix A. (n >= 0) (If n = 0, returns without computation) [in] nrhs Number of right hand sides, i.e., number of columns of the matrix B. (nrhs >= 0) (If nrhs = 0, returns without computation) [in,out] d[] Array d[ld] (ld >= n) [in] n diagonal elements of the Hermitian positive definite tridiagonal matrix A [out] n diagonal elements of the diagonal matrix D from the factorization A = L*D*L^H [in,out] e[] Array e[le] (le >= n - 1) [in] n-1 sub-diagonal elements of the Hermitian positive definite tridiagonal matrix A. [out] n-1 sub-diagonal elements of the unit bidiagonal factor L from the L*D*L^H factorization of A. E can also be regarded as the super-diagonal of the unit bidiagonal factor U from the U^H*D*U factorization of A. [in] ldb Leading dimension of the two dimensional array b[][]. (ldb >= max(1, n)) [in,out] b[][] Array b[lb][ldb] (lb >= nrhs) [in] n x nrhs right hand side matrix B. [out] If info = 0, n x nrhs solution matrix X. [out] info = 0: Successful exit = -1: The argument n had an illegal value (n < 0) = -2: The argument nrhs had an illegal value (nrhs < 0) = -5: The argument ldb had an illegal value (ldb < max(1, n)) = i > 0: The leading minor of order i is not positive definite, and the solution has not been computed. The factorization has not been completed unless i = n. Reference LAPACK