cspr.f(3) [debian man page]

```cspr.f(3)							      LAPACK								 cspr.f(3)

NAME
cspr.f -

SYNOPSIS
Functions/Subroutines
subroutine cspr (UPLO, N, ALPHA, X, INCX, AP)
CSPR

Function/Subroutine Documentation
subroutine cspr (characterUPLO, integerN, complexALPHA, complex, dimension( * )X, integerINCX, complex, dimension( * )AP)
CSPR

Purpose:

CSPR    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, supplied in packed form.

Parameters:
UPLO

UPLO is CHARACTER*1
On entry, UPLO specifies whether the upper or lower
triangular part of the matrix A is supplied in the packed
array AP as follows:

UPLO = 'U' or 'u'   The upper triangular part of A is
supplied in AP.

UPLO = 'L' or 'l'   The lower triangular part of A is
supplied in AP.

Unchanged on exit.

N

N is INTEGER
On entry, N specifies the order of the matrix A.
N must be at least zero.
Unchanged on exit.

ALPHA

ALPHA is COMPLEX
On entry, ALPHA specifies the scalar alpha.
Unchanged on exit.

X

X is COMPLEX array, dimension at least
( 1 + ( N - 1 )*abs( INCX ) ).
Before entry, the incremented array X must contain the N-
element vector x.
Unchanged on exit.

INCX

INCX is INTEGER
On entry, INCX specifies the increment for the elements of
X. INCX must not be zero.
Unchanged on exit.

AP

AP is COMPLEX array, dimension at least
( ( N*( N + 1 ) )/2 ).
Before entry, with  UPLO = 'U' or 'u', the array AP must
contain the upper triangular part of the symmetric matrix
packed sequentially, column by column, so that AP( 1 )
contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 )
and a( 2, 2 ) respectively, and so on. On exit, the array
AP is overwritten by the upper triangular part of the
updated matrix.
Before entry, with UPLO = 'L' or 'l', the array AP must
contain the lower triangular part of the symmetric matrix
packed sequentially, column by column, so that AP( 1 )
contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 )
and a( 3, 1 ) respectively, and so on. On exit, the array
AP is overwritten by the lower triangular part of the
updated matrix.
Note that the imaginary parts of the diagonal elements need
not be set, they are assumed to be zero, and on exit they
are set to zero.

Author:
Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:
November 2011

Definition at line 133 of file cspr.f.

Author
Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.1							  Sun May 26 2013							 cspr.f(3)```

Check Out this Related Man Page

```CSPR(l) 								 )								   CSPR(l)

NAME
CSPR - perform the symmetric rank 1 operation  A := alpha*x*conjg( x' ) + A,

SYNOPSIS
SUBROUTINE CSPR( UPLO, N, ALPHA, X, INCX, AP )

CHARACTER	UPLO

INTEGER	INCX, N

COMPLEX	ALPHA

COMPLEX	AP( * ), X( * )

PURPOSE
CSPR  performs the symmetric rank 1 operation A := alpha*x*conjg( x' ) + A, where alpha is a complex scalar, x is an n element vector and A
is an n by n symmetric matrix, supplied in packed form.

ARGUMENTS
UPLO   - CHARACTER*1
On entry, UPLO specifies whether the upper or lower triangular part of the matrix A is supplied in the packed array AP as follows:

UPLO = 'U' or 'u'   The upper triangular part of A is supplied in AP.

UPLO = 'L' or 'l'   The lower triangular part of A is supplied in AP.

Unchanged on exit.

N      - INTEGER
On entry, N specifies the order of the matrix A.	N must be at least zero.  Unchanged on exit.

ALPHA  - COMPLEX
On entry, ALPHA specifies the scalar alpha.  Unchanged on exit.

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

INCX   - INTEGER
On entry, INCX specifies the increment for the elements of X. INCX must not be zero.  Unchanged on exit.

AP     - COMPLEX array, dimension at least
( ( N*( N + 1 ) )/2 ).  Before entry, with  UPLO = 'U' or 'u', the array AP must contain the upper triangular part of the  symmetric
matrix  packed sequentially, column by column, so that AP( 1 ) contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2
) respectively, and so on. On exit, the array AP is overwritten by the upper triangular part of the updated matrix.   Before  entry,
with  UPLO  = 'L' or 'l', the array AP must contain the lower triangular part of the symmetric matrix packed sequentially, column by
column, so that AP( 1 ) contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 ) respectively, and so  on.  On  exit,
the  array AP is overwritten by the lower triangular part of the updated matrix.	Note that the imaginary parts of the diagonal ele-
ments need not be set, they are assumed to be zero, and on exit they are set to zero.

LAPACK version 3.0						   15 June 2000 							   CSPR(l)```
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