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zlantr (3)
  • >> zlantr (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         zlantr - 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 trapezoidal or triangular matrix A
    
    SYNOPSIS
         DOUBLE PRECISION FUNCTION ZLANTR( NORM, UPLO, DIAG, M, N, A,
                   LDA, WORK )
    
         CHARACTER DIAG, NORM, UPLO
    
         INTEGER LDA, M, N
    
         DOUBLE PRECISION WORK( * )
    
         COMPLEX*16 A( LDA, * )
    
    
    
         #include <sunperf.h>
    
         double zlantr(char norm, char uplo, char diag, int m, int n,
                    doublecomplex *za, int lda) ;
    
    PURPOSE
         ZLANTR  returns the value of the one norm,  or the Frobenius
         norm,  or  the   infinity norm,  or the  element of  largest
         absolute value  of a trapezoidal or triangular matrix A.
    
    
    DESCRIPTION
         ZLANTR returns the value
    
            ZLANTR = ( 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  ZLANTR  as
                   described above.
    
         UPLO      (input) CHARACTER*1
                   Specifies whether the matrix A is upper  or  lower
                   trapezoidal.  = 'U':  Upper trapezoidal
                   = 'L':  Lower trapezoidal Note that A is  triangu-
                   lar instead of trapezoidal if M = N.
    
         DIAG      (input) CHARACTER*1
                   Specifies whether or not the  matrix  A  has  unit
                   diagonal.  = 'N':  Non-unit diagonal
                   = 'U':  Unit diagonal
    
         M         (input) INTEGER
                   The number of rows of the matrix A.  M >=  0,  and
                   if  UPLO = 'U', M <= N.  When M = 0, ZLANTR is set
                   to zero.
    
         N         (input) INTEGER
                   The number of columns of the matrix A.   N  >=  0,
                   and  if UPLO = 'L', N <= M.  When N = 0, ZLANTR is
                   set to zero.
    
         A         (input) COMPLEX*16 array, dimension (LDA,N)
                   The trapezoidal matrix A (A is triangular if  M  =
                   N).   If UPLO = 'U', the leading m by n upper tra-
                   pezoidal part of the array A  contains  the  upper
                   trapezoidal  matrix,  and  the strictly lower tri-
                   angular part of A is not referenced.   If  UPLO  =
                   'L',  the leading m by n lower trapezoidal part of
                   the array A contains the lower trapezoidal matrix,
                   and the strictly upper triangular part of A is not
                   referenced.  Note that when DIAG = 'U', the diago-
                   nal  elements  of  A  are  not  referenced and are
                   assumed to be one.
    
         LDA       (input) INTEGER
                   The leading dimension of  the  array  A.   LDA  >=
                   max(M,1).
    
         WORK      (workspace)  DOUBLE  PRECISION  array,   dimension
                   (LWORK),
                   where LWORK >= M when NORM = 'I'; otherwise,  WORK
                   is not referenced.
    
    
    
    


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