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

zsbmv() void zsbmv ( char  uplo, int  n, int  k, doublecomplex  alpha, int  ldab, doublecomplex  ab[], doublecomplex  x[], int  incx, doublecomplex  beta, doublecomplex  y[], int  incy  ) y <- αAx + βy (complex symmetric band matrices) (BLAS 2) Purpose This routine performs the matrix-vector operation y <- alpha*A*x + beta*y where alpha and beta are scalars, x and y are vectors and A is an n x n symmetric band matrix, with k super/sub-diagonals. Parameters [in] uplo Specifies whether the upper or lower triangular part of the band matrix A is being supplied as follows: = 'U': The upper triangular part of A is being supplied. = 'L': The lower triangular part of A is being supplied. [in] n Order of the matrix A. (n >= 0) (If n = 0, returns without computation) [in] k The number of super/sub-diagonals of the matrix A. (k >= 0) [in] alpha Scalar alpha. [in] ldab Leading dimension of the two dimensional array ab[][]. (ldab >= k + 1) [in] ab[][] Array ab[lab][ldab] (lab >= n) n x n symmetric 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] x[] Array x[lx] (lx >= 1 + (n - 1)*abs(incx)) Input vector x. [in] incx Storage spacing between elements of x. (incx != 0) [in] beta Scalar beta. When beta is supplied as zero then y[] need not be set on input. [in,out] y[] Array y[ly] (ly >= 1 + (n - 1)*abs(incy)) [in] Input vector y. [out] Output vector. (= alpha*A*x + beta*y) [in] incy Storage spacing between elements of y. (incy != 0) Reference BLAS