Zgbmv Zgemv Zgerc Zgeru Zhbmv Zhemv Zher Zher2 Zhpmv Zhpr Zhpr2 Zsbmv Zspmv Zspr Zspr2 Zsymv Zsyr Zsyr2 Ztbmv Ztbsv Ztpmv Ztpsv Ztrmv Ztrsv

Ztbmv() Sub Ztbmv ( Uplo As  String, Trans As  String, Diag As  String, N As  Long, K As  Long, Ab_IJ As  Complex, LdAb As  Long, X_I As  Complex, Optional IncX As  Long = 1  ) x <- Ax, x <- ATx or x <- AHx (complex triangular band matrices) (BLAS 2) Purpose This routine performs the matrix-vector operations x <- A*x, x <- A^T*x or x <- A^H*x where x is a vector and A is an n x n unit or non-unit, upper or lower triangular band matrix, with k+1 diagonals. 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 operation to be performed as follows: = "N": x <- A*x. = "T": x <- A^T*x. = "C": x <- A^H*x. [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 referenced) [in] N Order of the matrix A. (N >= 0) (If N = 0, returns without computation) [in] K Number of super/sub-diagonals of the matrix A. (K >= 0) [in] Ab_IJ An element Ab(I, J) of the array Ab(). Starting from this location, N x N triangular band matrix A is stored in symmetric band matrix form (K+1 x N). (Upper or lower part is to be stored in accordance with Uplo) [in] LdAb Leading dimension of the two dimensional array Ab(). (LdAb >= K + 1) [in] X_I An element X(I) of the array X(). [in] Starting from this location, N vector x is stored with element spacing IncX. [out] Starting from this location, N vector A*x, A^T*x or A^H*x is stored with element spacing IncX. [in] IncX (Optional) Element spacing of vector x in the array X(). (IncX <> 0) (default = 1) Reference BLAS