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

zhbmv() void zhbmv ( 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 (Hermitian 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 Hermitian 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 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 Hermitian band matrix A in k+1 x n symmetric band matrix form. According to uplo, upper or lower triangular part is to be supplied. The imaginary parts of the diagonal elements need not be set and are assumed to be zero. [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