zsyr2k.f(3) [centos man page]

```zsyr2k.f(3)							      LAPACK							       zsyr2k.f(3)

NAME
zsyr2k.f -

SYNOPSIS
Functions/Subroutines
subroutine zsyr2k (UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
ZSYR2K

Function/Subroutine Documentation
subroutine zsyr2k (characterUPLO, characterTRANS, integerN, integerK, complex*16ALPHA, complex*16, dimension(lda,*)A, integerLDA, complex*16,
dimension(ldb,*)B, integerLDB, complex*16BETA, complex*16, dimension(ldc,*)C, integerLDC)
ZSYR2K Purpose:

ZSYR2K  performs one of the symmetric rank 2k operations

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

or

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

where  alpha and beta  are scalars,  C is an  n by n symmetric matrix
and  A and B  are  n by k  matrices  in the  first	case  and  k by n
matrices 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*B**T + alpha*B*A**T +
beta*C.

TRANS = 'T' or 't'    C := alpha*A**T*B + alpha*B**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  matrices  A and B,  and on  entry  with
TRANS = 'T' or 't',  K  specifies  the number of rows of the
matrices	A and B.  K must be at least zero.

ALPHA

ALPHA is COMPLEX*16
On entry, ALPHA specifies the scalar alpha.

A

A is COMPLEX*16 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 ).

B

B is COMPLEX*16 array of DIMENSION ( LDB, kb ), where kb 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  B  must contain the matrix  B,  otherwise
the leading  k by n  part of the array  B  must contain  the
matrix B.

LDB

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

BETA

BETA is COMPLEX*16
On entry, BETA specifies the scalar beta.

C

C is COMPLEX*16 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 189 of file zsyr2k.f.

Author
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Version 3.4.2							  Tue Sep 25 2012						       zsyr2k.f(3)```
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