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

Zgbmv() Sub Zgbmv ( Trans As  String, M As  Long, N As  Long, Kl As  Long, Ku As  Long, Alpha As  Complex, Ab_IJ As  Complex, LdAb As  Long, X_I As  Complex, Beta As  Complex, Y_I As  Complex, Optional IncX As  Long = 1, Optional IncY As  Long = 1  ) y <- αAx + βy, y <- αATx + βy or y <- αAHx + βy (complex band matrices) (BLAS 2) Purpose This routine performs one of the matrix-vector operations y <- αAx + βy, y <- αA^Tx + βy or y <- αA^Hx + βy where α and β are scalars, x and y are vectors and A is an m x n band matrix, with kl sub-diagonals and ku super-diagonals. Parameters [in] Trans Specifies the operation to be performed. = "N": y <- αAx + βy. = "T": y <- αA^Tx + βy. = "C": y <- αA^Hx + βy. [in] M Number of rows of the matrix A. (M >= 0) (If m = 0, returns without computation) [in] N Number of columns of the matrix A. (N >= 0) (If m = 0, returns without computation) [in] Kl Number of sub-diagonals of the matrix A. (Kl >= 0) [in] Ku Number of super-diagonals of the matrix A. (Ku >= 0) [in] Alpha Scalar α. [in] Ab_IJ An element Ab(I, J) of the array Ab(). Starting from this location, M x N matrix A is stored in band matrix form (Kl+Ku+1 x N). [in] LdAb Leading dimension of the two dimensional array Ab(). (LdAb >= Kl + Ku + 1) [in] X_I An element X(I) of the array X(). Starting from this location, vector x is stored with element spacing IncX (Vector x is N vector when Trans="N", or M vector when Trans="T" or "C"). [in] Beta Scalar β. [in,out] Y_I An element Y(I) of the array Y(). [in] Starting from this location, vector y is stored with element spacing IncY (Vector y is M vector when Trans="N", or N vector when Trans="T" or "C"). [out] Starting from this location, αAx+βy, αA^Tx+βy or αA^Hx+βy is stored with element spacing IncY. (The resulting vector is M vector when Trans="N", or N vector when Trans="T" or "C"). [in] IncX (Optional) Element spacing of vector x in the array X(). (IncX <> 0) (default = 1) [in] IncY (Optional) Element spacing of vector y in the array Y(). (IncY <> 0) (default = 1) Reference BLAS