pdf

# ssyrk.f

ssyrk.f −

## SYNOPSIS

Functions/Subroutines

subroutine ssyrk (UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC)
SSYRK

## Function/Subroutine Documentation

subroutine ssyrk (characterUPLO, characterTRANS, integerN, integerK, realALPHA, real, dimension(lda,*)A, integerLDA, realBETA, real, dimension(ldc,*)C, integerLDC)
SSYRK Purpose:

SSYRK performs one of the symmetric rank k operations

C := alpha*A*A**T + beta*C,

or

C := alpha*A**T*A + beta*C,

where alpha and beta are scalars, C is an n by n symmetric matrix
and A is an n by k matrix in the first case and a k by n matrix
in the second case.

Parameters:

UPLO

UPLO is CHARACTER*1
On entry, UPLO specifies whether the upper or lower
triangular part of the array C is to be referenced as
follows:

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

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

TRANS

TRANS is CHARACTER*1
On entry, TRANS specifies the operation to be performed as
follows:

TRANS = ’N’ or ’n’ C := alpha*A*A**T + beta*C.

TRANS = ’T’ or ’t’ C := alpha*A**T*A + beta*C.

TRANS = ’C’ or ’c’ C := alpha*A**T*A + beta*C.

N

N is INTEGER
On entry, N specifies the order of the matrix C. N must be
at least zero.

K

K is INTEGER
On entry with TRANS = ’N’ or ’n’, K specifies the number
of columns of the matrix A, and on entry with
TRANS = ’T’ or ’t’ or ’C’ or ’c’, K specifies the number
of rows of the matrix A. K must be at least zero.

ALPHA

ALPHA is REAL
On entry, ALPHA specifies the scalar alpha.

A

A is REAL array of DIMENSION ( LDA, ka ), where ka is
k when TRANS = ’N’ or ’n’, and is n otherwise.
Before entry with TRANS = ’N’ or ’n’, the leading n by k
part of the array A must contain the matrix A, otherwise
the leading k by n part of the array A must contain the
matrix A.

LDA

LDA is INTEGER
On entry, LDA specifies the first dimension of A as declared
in the calling (sub) program. When TRANS = ’N’ or ’n’
then LDA must be at least max( 1, n ), otherwise LDA must
be at least max( 1, k ).

BETA

BETA is REAL
On entry, BETA specifies the scalar beta.

C

C is REAL array of DIMENSION ( LDC, n ).
Before entry with UPLO = ’U’ or ’u’, the leading n by n
upper triangular part of the array C must contain the upper
triangular part of the symmetric matrix and the strictly
lower triangular part of C is not referenced. On exit, the
upper triangular part of the array C 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 C must contain the lower
triangular part of the symmetric matrix and the strictly
upper triangular part of C is not referenced. On exit, the
lower triangular part of the array C is overwritten by the
lower triangular part of the updated matrix.

LDC

LDC is INTEGER
On entry, LDC specifies the first dimension of C as declared
in the calling (sub) program. LDC must be at least
max( 1, n ).

Author:

Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:

November 2011

Further Details:

Level 3 Blas routine.

-- Written on 8-February-1989.
Jack Dongarra, Argonne National Laboratory.
Iain Duff, AERE Harwell.
Jeremy Du Croz, Numerical Algorithms Group Ltd.
Sven Hammarling, Numerical Algorithms Group Ltd.

Definition at line 170 of file ssyrk.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

pdf