zsyr (l) - Linux Manuals

zsyr: performs the symmetric rank 1 operation A := alpha*x*( xaq ) + A,

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 1-norm) 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 two-norm)
  • zsymm (l) - performs one of the matrix-matrix operations C := alpha*A*B + beta*C,
  • zsymv (l) - performs the matrix-vector operation y := alpha*A*x + beta*y,
  • zsysv (l) - computes the solution to a complex system of linear equations A * X = B,