XLPack 7.0
XLPack Numerical Library (C API) Reference Manual
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◆ zsyr2()

void zsyr2 ( char  uplo,
int  n,
doublecomplex  alpha,
doublecomplex  x[],
int  incx,
doublecomplex  y[],
int  incy,
int  lda,
doublecomplex  a[] 
)

Rank 2 operation: A <- αxyT + αyxT + A (complex symmetric matrices) (BLAS 2)

Purpose
This routine performs the rank 2 operation
A <- alpha*x*y^T + alpha*y*x^T + A
where alpha is a scalar, x and y are n element vectors and A is an n x n symmetric matrix.
Parameters
[in]uploSpecifies whether the upper or lower triangular part of the array a[][] is to be referenced as follows:
= 'U': Only the upper triangular part of a[][] is to be referenced.
= 'L': Only the lower triangular part of a[][] is to be referenced.
[in]nOrder of the matrix A. (n >= 0) (If n = 0, returns without computation)
[in]alphaScalar alpha.
[in]x[]Array x[lx] (lx >= 1 + (n - 1)*abs(incx))
Vector x.
[in]incxStorage spacing between elements of x. (incx != 0)
[in]y[]Array y[ly] (ly >= 1 + (n - 1)*abs(incy))
Vector y.
[in]incyStorage spacing between elements of y. (incy != 0)
[in]ldaLeading dimension of the two dimensional array a[][]. (lda >= max(1, n))
[in,out]a[][]Array a[la][lda] (la >= n)
[in] n x n symmetric matrix A. (Only upper or lower triangular part is to be referenced)
[out] Output matrix. (= alpha*x*y^T + alpha*y*x^T + A) (Only upper or lower triangular part is to be referenced)
Reference
BLAS