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zlanhe (3)
  • >> zlanhe (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         zlanhe - 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 hermitian matrix A
    
    SYNOPSIS
         DOUBLE PRECISION FUNCTION ZLANHE( NORM,  UPLO,  N,  A,  LDA,
                   WORK )
    
         CHARACTER NORM, UPLO
    
         INTEGER LDA, N
    
         DOUBLE PRECISION WORK( * )
    
         COMPLEX*16 A( LDA, * )
    
    
    
         #include <sunperf.h>
    
         double zlanhe(char norm, char  uplo,  int  n,  doublecomplex
                   *za, int lda) ;
    
    PURPOSE
         ZLANHE  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 hermitian matrix A.
    
    
    DESCRIPTION
         ZLANHE returns the value
    
            ZLANHE = ( 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  ZLANHE  as
                   described above.
    
         UPLO      (input) CHARACTER*1
                   Specifies whether the upper  or  lower  triangular
                   part  of  the  hermitian  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,
                   ZLANHE is set to zero.
    
         A         (input) COMPLEX*16 array, dimension (LDA,N)
                   The hermitian 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. Note that the
                   imaginary parts of the diagonal elements need  not
                   be set and are assumed to be zero.
    
         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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