zgbmv zgemv zgerc zgeru zhbmv zhemv zher zher2 zhpmv zhpr zhpr2 zsbmv zspmv zspr zspr2 zsymv zsyr zsyr2 ztbmv ztbsv ztpmv ztpsv ztrmv ztrsv

ztbsv() void ztbsv ( char  uplo, char  trans, char  diag, int  n, int  k, int  ldab, doublecomplex  ab[], doublecomplex  x[], int  incx  ) Solution of Ax = b, ATx = b or AHx = b (complex triangular band matrices) (BLAS 2) Purpose This routine solves one of the systems of equations A*x = b, A^T*x = b or A^H*x = b where b and x are n element vectors and A is an n x n unit or non-unit, upper or lower triangular band matrix, with k+1 diagonals. No test for singularity or near-singularity is included in this routine. Such tests must be performed before calling this routine. Parameters [in] uplo Specifies whether the matrix is an upper or lower triangular matrix as follows: = 'U': A is an upper triangular matrix. = 'L': A is an lower triangular matrix. [in] trans Specifies the equation to be solved as follows: = 'N': A*x = b. = 'T': A^T*x = b. = 'C': A^H*x = b. [in] diag Specifies whether or not A is unit triangular as follows: = 'N': A is not assumed to be unit triangular. = 'U': A is assumed to be unit triangular. (diagonal elements of ab[][] are not references) [in] n Order of the matrix A. (n >= 0) (If n = 0, returns without computation) [in] k Number of super/sub-diagonals of the triangular band matrix A. (k >= 0) [in] ldab Leading dimension of the two dimensional array ab[][]. (ldab >= k + 1) [in] ab[][] Array ab[lab][ldab] (lab >= n) n x n triangular band matrix A in k+1 x n symmetric band matrix form. (Upper or lower part is to be stored in accordance with uplo) [in,out] x[] Array x[lx] (lx >= 1 + (n - 1)*abs(incx)) [in] Right-hand side vector b. [out] Solution vector x. [in] incx Storage spacing between elements of b and x. (incx != 0) Reference BLAS