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clansp (3)
  • >> clansp (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         clansp - 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 complex  symmetric  matrix  A,  supplied  in
         packed form
    
    SYNOPSIS
         REAL FUNCTION CLANSP( NORM, UPLO, N, AP, WORK )
    
         CHARACTER NORM, UPLO
    
         INTEGER N
    
         REAL WORK( * )
    
         COMPLEX AP( * )
    
    
    
         #include <sunperf.h>
    
         float clansp(char norm, char uplo, int n, complex *ap) ;
    
    PURPOSE
         CLANSP  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,   supplied
         in packed form.
    
    
    DESCRIPTION
         CLANSP returns the value
    
            CLANSP = ( 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  CLANSP  as
                   described above.
    
         UPLO      (input) CHARACTER*1
                   Specifies whether the upper  or  lower  triangular
                   part  of  the  symmetric  matrix A is supplied.  =
                   'U':  Upper triangular part of A is supplied
                   = 'L':  Lower triangular part of A is supplied
    
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.  When N  =  0,
                   CLANSP is set to zero.
    
         AP        (input) COMPLEX array, dimension (N*(N+1)/2)
                   The upper  or  lower  triangle  of  the  symmetric
                   matrix  A,  packed  columnwise  in a linear array.
                   The j-th column of A is stored in the array AP  as
                   follows:   if  UPLO  =  'U',  AP(i  + (j-1)*j/2) =
                   A(i,j) for 1<=i<=j; if UPLO  =  'L',  AP(i  +  (j-
                   1)*(2n-j)/2) = A(i,j) for j<=i<=n.
    
         WORK      (workspace) REAL array, dimension (LWORK),
                   where LWORK >= N when NORM = 'I' or  '1'  or  'O';
                   otherwise, WORK is not referenced.
    
    
    
    


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