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clanhs (3)
  • >> clanhs (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         clanhs - 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 Hessenberg matrix A
    
    SYNOPSIS
         REAL FUNCTION CLANHS( NORM, N, A, LDA, WORK )
    
         CHARACTER NORM
    
         INTEGER LDA, N
    
         REAL WORK( * )
    
         COMPLEX A( LDA, * )
    
    
    
         #include <sunperf.h>
    
         float clanhs(char norm, int n, complex *ca, int lda);
    
    PURPOSE
         CLANHS  returns the value of the one norm,  or the Frobenius
         norm,  or  the   infinity norm,  or the  element of  largest
         absolute value  of a Hessenberg matrix A.
    
    
    DESCRIPTION
         CLANHS returns the value
    
            CLANHS = ( 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  CLANHS  as
                   described above.
    
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.  When N  =  0,
                   CLANHS is set to zero.
    
         A         (input) COMPLEX array, dimension (LDA,N)
                   The n by n upper Hessenberg matrix A; the part  of
                   A below the first sub-diagonal is not referenced.
    
         LDA       (input) INTEGER
                   The leading dimension of  the  array  A.   LDA  >=
                   max(N,1).
    
         WORK      (workspace) REAL array, dimension (LWORK),
                   where LWORK >= N when NORM = 'I'; otherwise,  WORK
                   is not referenced.
    
    
    
    


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