zlansy (l) - Linux Man Pages

zlansy: returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex symmetric matrix A

NAME

ZLANSY - returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex symmetric matrix A

SYNOPSIS

DOUBLE PRECISION
FUNCTION ZLANSY( NORM, UPLO, N, A, LDA, WORK )

    
CHARACTER NORM, UPLO

    
INTEGER LDA, N

    
DOUBLE PRECISION WORK( * )

    
COMPLEX*16 A( LDA, * )

PURPOSE

ZLANSY returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex symmetric matrix A.

DESCRIPTION

ZLANSY returns the value

ZLANSY max(abs(A(i,j))), NORM aqMaq or aqmaq

      (

      norm1(A),         NORM aq1aq, aqOaq or aqoaq

      (

      normI(A),         NORM aqIaq or aqiaq

      (

      normF(A),         NORM aqFaq, aqfaq, aqEaq or aqeaq where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.

ARGUMENTS

NORM (input) CHARACTER*1
Specifies the value to be returned in ZLANSY as described above.
UPLO (input) CHARACTER*1
Specifies whether the upper or lower triangular part of the symmetric matrix A is to be referenced. = aqUaq: Upper triangular part of A is referenced
= aqLaq: Lower triangular part of A is referenced
N (input) INTEGER
The order of the matrix A. N >= 0. When N = 0, ZLANSY is set to zero.
A (input) COMPLEX*16 array, dimension (LDA,N)
The symmetric matrix A. If UPLO = aqUaq, the leading n by n upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = aqLaq, the leading n by n lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced.
LDA (input) INTEGER
The leading dimension of the array A. LDA >= max(N,1).
WORK (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
where LWORK >= N when NORM = aqIaq or aq1aq or aqOaq; otherwise, WORK is not referenced.