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

void ztrsv ( char  uplo,
char  trans,
char  diag,
int  n,
int  lda,
doublecomplex  a[],
doublecomplex  x[],
int  incx 
)

Solution of Ax = b, ATx = b or AHx = b (complex triangular matrices) (BLAS 2)

Purpose
This routine solves one of the systems of equations
A*x = b, A^T*x = b or A^H*x = b
where b and x are n element vectors and A is an n x n unit or non-unit, upper or lower triangular matrix.

No test for singularity or near-singularity is included in this routine. Such tests must be performed before calling this routine.
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 equation to be solved as follows:
= 'N': A*x = b.
= 'T': A^T*x = b.
= 'C': A^H*x = b.
[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 a[][] are not references)
[in]nOrder of the matrix A. (n >= 0) (If n = 0, returns without computation)
[in]ldaLeading dimension of the two dimensional array a[][]. (lda >= max(1, n))
[in]a[][]Array a[la][lda] (la >= n)
n x n triangular matrix A. (Only upper or lower triangular part is to be referenced)
[in,out]x[]Array x[lx] (lx >= 1 + (n - 1)*abs(incx))
[in] Right-hand side vector b.
[out] Solution vector x.
[in]incxStorage spacing between elements of b and x. (incx != 0)
Reference
BLAS