XLPack 7.0
XLPack Numerical Library (C API) Reference Manual
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◆ ztbmv()

void ztbmv ( char  uplo,
char  trans,
char  diag,
int  n,
int  k,
int  ldab,
doublecomplex  ab[],
doublecomplex  x[],
int  incx 
)

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]uploSpecifies 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]transSpecifies the operation to be performed as follows:
= 'N': x <- A*x.
= 'T': x <- A^T*x.
= 'C': x <- A^H*x.
[in]diagSpecifies 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]nOrder of the matrix A. (n >= 0) (If n = 0, returns without computation)
[in]kNumber of super/sub-diagonals of the matrix A. (k >= 0)
[in]ldabLeading 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] Input vector x.
[out] Output vector. (= A*x, A^T*x or A^H*x)
[in]incxStorage spacing between elements of x. (incx != 0)
Reference
BLAS