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dlansy (3)
  • >> dlansy (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         dlansy - return the value of the one norm, or the  Frobenius
         norm,  or the infinity norm, or the element of largest abso-
         lute value of a real symmetric matrix A
    
    SYNOPSIS
         DOUBLE PRECISION FUNCTION DLANSY( NORM,  UPLO,  N,  A,  LDA,
                   WORK )
    
         CHARACTER NORM, UPLO
    
         INTEGER LDA, N
    
         DOUBLE PRECISION A( LDA, * ), WORK( * )
    
    
    
         #include <sunperf.h>
    
         double dlansy(char norm, char uplo, int n, double  *da,  int
                   lda) ;
    
    PURPOSE
         DLANSY  returns the value of the one norm,  or the Frobenius
         norm,  or  the   infinity norm,  or the  element of  largest
         absolute value  of a real symmetric matrix A.
    
    
    DESCRIPTION
         DLANSY returns the value
    
            DLANSY = ( max(abs(A(i,j))), NORM = 'M' or 'm'
                     (
                     ( norm1(A),         NORM = '1', 'O' or 'o'
                     (
                     ( normI(A),         NORM = 'I' or 'i'
                     (
                     ( normF(A),         NORM = 'F', 'f', 'E' or 'e'
    
         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  matrix norm.
    
    
    ARGUMENTS
         NORM      (input) CHARACTER*1
                   Specifies the value to be returned  in  DLANSY  as
                   described above.
    
         UPLO      (input) CHARACTER*1
                   Specifies whether the upper  or  lower  triangular
                   part  of  the  symmetric  matrix A is to be refer-
                   enced.  = 'U':  Upper  triangular  part  of  A  is
                   referenced
                   = 'L':  Lower triangular part of A is referenced
    
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.  When N  =  0,
                   DLANSY is set to zero.
    
         A         (input) DOUBLE PRECISION array, dimension (LDA,N)
                   The symmetric matrix A.  If UPLO = 'U', the  lead-
                   ing 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 refer-
                   enced.  If UPLO = 'L', the leading n  by  n  lower
                   triangular part of A contains the lower triangular
                   part of the matrix A, and the strictly upper  tri-
                   angular 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
                   (LWORK),
                   where LWORK >= N when NORM = 'I' or  '1'  or  'O';
                   otherwise, WORK is not referenced.
    
    
    
    


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