zsyr (l)  Linux Man Pages
zsyr: performs the symmetric rank 1 operation A := alpha*x*( xaq ) + A,
Command to display zsyr
manual in Linux: $ man l zsyr
NAME
ZSYR  performs the symmetric rank 1 operation A := alpha*x*( xaq ) + A,
SYNOPSIS
 SUBROUTINE ZSYR(

UPLO, N, ALPHA, X, INCX, A, LDA )

CHARACTER
UPLO

INTEGER
INCX, LDA, N

COMPLEX*16
ALPHA

COMPLEX*16
A( LDA, * ), X( * )
PURPOSE
ZSYR 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.
ARGUMENTS
 UPLO (input) CHARACTER*1

On entry, UPLO specifies whether the upper or lower
triangular part of the array A is to be referenced as
follows:
UPLO = aqUaq or aquaq Only the upper triangular part of A
is to be referenced.
UPLO = aqLaq or aqlaq Only the lower triangular part of A
is to be referenced.
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*16

On entry, ALPHA specifies the scalar alpha.
Unchanged on exit.
 X (input) COMPLEX*16 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.
 A (input/output) COMPLEX*16 array, dimension ( LDA, N )

Before entry, with UPLO = aqUaq or aquaq, 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 = aqLaq or aqlaq, 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.
 LDA (input) INTEGER

On entry, LDA specifies the first dimension of A as declared
in the calling (sub) program. LDA must be at least
max( 1, N ).
Unchanged on exit.
Pages related to zsyr
 zsyr (3)
 zsyr2k (l)  performs one of the symmetric rank 2k operations C := alpha*A*Baq + alpha*B*Aaq + beta*C,
 zsyrfs (l)  improves the computed solution to a system of linear equations when the coefficient matrix is symmetric indefinite, and provides error bounds and backward error estimates for the solution
 zsyrfsx (l)  ZSYRFSX improve the computed solution to a system of linear equations when the coefficient matrix is symmetric indefinite, and provides error bounds and backward error estimates for the solution
 zsyrk (l)  performs one of the symmetric rank k operations C := alpha*A*Aaq + beta*C,
 zsycon (l)  estimates the reciprocal of the condition number (in the 1norm) of a complex symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by ZSYTRF
 zsyequb (l)  computes row and column scalings intended to equilibrate a symmetric matrix A and reduce its condition number (with respect to the twonorm)
 zsymm (l)  performs one of the matrixmatrix operations C := alpha*A*B + beta*C,
 zsymv (l)  performs the matrixvector operation y := alpha*A*x + beta*y,
 zsysv (l)  computes the solution to a complex system of linear equations A * X = B,