cspr (l)  Linux Manuals
cspr: performs the symmetric rank 1 operation A := alpha*x*conjg( xaq ) + A,
Command to display cspr
manual in Linux: $ man l cspr
NAME
CSPR  performs the symmetric rank 1 operation A := alpha*x*conjg( xaq ) + 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
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 (input) 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 = aqUaq or aquaq The upper triangular part of A is
supplied in AP.
UPLO = aqLaq or aqlaq The lower triangular part of A is
supplied in AP.
Unchanged on exit.
 N (input) INTEGER

On entry, N specifies the order of the matrix A.
N must be at least zero.
Unchanged on exit.
 ALPHA (input) COMPLEX

On entry, ALPHA specifies the scalar alpha.
Unchanged on exit.
 X (input) 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 (input) INTEGER

On entry, INCX specifies the increment for the elements of
X. INCX must not be zero.
Unchanged on exit.
 AP (input/output) COMPLEX array, dimension at least

( ( N*( N + 1 ) )/2 ).
Before entry, with UPLO = aqUaq or aquaq, 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 = aqLaq or aqlaq, 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.
Pages related to cspr
 cspr (3)
 csprfs (l)  improves the computed solution to a system of linear equations when the coefficient matrix is symmetric indefinite and packed, and provides error bounds and backward error estimates for the solution
 cspcon (l)  estimates the reciprocal of the condition number (in the 1norm) of a complex symmetric packed matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by CSPTRF
 cspmv (l)  performs the matrixvector operation y := alpha*A*x + beta*y,
 cspsv (l)  computes the solution to a complex system of linear equations A * X = B,
 cspsvx (l)  uses the diagonal pivoting factorization A = U*D*U**T or A = L*D*L**T to compute the solution to a complex system of linear equations A * X = B, where A is an NbyN symmetric matrix stored in packed format and X and B are NbyNRHS matrices
 csptrf (l)  computes the factorization of a complex symmetric matrix A stored in packed format using the BunchKaufman diagonal pivoting method
 csptri (l)  computes the inverse of a complex symmetric indefinite matrix A in packed storage using the factorization A = U*D*U**T or A = L*D*L**T computed by CSPTRF
 csptrs (l)  solves a system of linear equations A*X = B with a complex symmetric matrix A stored in packed format using the factorization A = U*D*U**T or A = L*D*L**T computed by CSPTRF
 cscal (l)  CSCAL scale a vector by a constant