syr#

csyr

Functions

void csyr(
    const char*          uplo,
    const INT            n,
    const c64            alpha,
    const c64*  restrict X,
    const INT            incx,
          c64*  restrict A,
    const INT            lda
);

void csyr(const char *uplo, const INT n, const c64 alpha, const c64 *restrict X, const INT incx, c64 *restrict A, const INT lda)#

CSYR performs the symmetric rank 1 operation.

A := alpha*x*x**H + A,

where alpha is a complex scalar, x is an n element vector and A is an n by n symmetric matrix.

UPLO = ‘U’ or ‘u’ Only the upper triangular part of A is to be referenced.

UPLO = ‘L’ or ‘l’ Only the lower triangular part of A is to be referenced.

Parameters

in

uplo

On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows:

in

n

On entry, N specifies the order of the matrix A. N must be at least zero.

in

alpha

On entry, ALPHA specifies the scalar alpha.

in

X

Single complex array, dimension at least ( 1 + ( N - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the N- element vector x.

in

incx

On entry, INCX specifies the increment for the elements of X. INCX must not be zero.

inout

A

Single complex array, dimension ( lda, n ). Before entry, with UPLO = ‘U’ or ‘u’, the leading n by n upper triangular part of the array A must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of A is not referenced. On exit, the upper triangular part of the array A is overwritten by the upper triangular part of the updated matrix. Before entry, with UPLO = ‘L’ or ‘l’, the leading n by n lower triangular part of the array A must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of A is not referenced. On exit, the lower triangular part of the array A is overwritten by the lower triangular part of the updated matrix.

in

lda

On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA must be at least max( 1, N ).

zsyr

Functions

void zsyr(
    const char*          uplo,
    const INT            n,
    const c128           alpha,
    const c128* restrict X,
    const INT            incx,
          c128* restrict A,
    const INT            lda
);

void zsyr(const char *uplo, const INT n, const c128 alpha, const c128 *restrict X, const INT incx, c128 *restrict A, const INT lda)#

ZSYR performs the symmetric rank 1 operation.

A := alpha*x*x**H + A,

where alpha is a complex scalar, x is an n element vector and A is an n by n symmetric matrix.

UPLO = ‘U’ or ‘u’ Only the upper triangular part of A is to be referenced.

UPLO = ‘L’ or ‘l’ Only the lower triangular part of A is to be referenced.

Parameters

in

uplo

On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows:

in

n

On entry, N specifies the order of the matrix A. N must be at least zero.

in

alpha

On entry, ALPHA specifies the scalar alpha.

in

X

Double complex array, dimension at least ( 1 + ( N - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the N- element vector x.

in

incx

On entry, INCX specifies the increment for the elements of X. INCX must not be zero.

inout

A

Double complex array, dimension ( lda, n ). Before entry, with UPLO = ‘U’ or ‘u’, the leading n by n upper triangular part of the array A must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of A is not referenced. On exit, the upper triangular part of the array A is overwritten by the upper triangular part of the updated matrix. Before entry, with UPLO = ‘L’ or ‘l’, the leading n by n lower triangular part of the array A must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of A is not referenced. On exit, the lower triangular part of the array A is overwritten by the lower triangular part of the updated matrix.

in

lda

On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA must be at least max( 1, N ).

syr#

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