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slantp (3)
  • >> slantp (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         slantp - 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 triangular matrix A, supplied in packed form
    
    SYNOPSIS
         REAL FUNCTION SLANTP( NORM, UPLO, DIAG, N, AP, WORK )
    
         CHARACTER DIAG, NORM, UPLO
    
         INTEGER N
    
         REAL AP( * ), WORK( * )
    
    
    
         #include <sunperf.h>
    
         double slantp(char norm, char uplo, char diag, int n,  float
                   *ap) ;
    
    PURPOSE
         SLANTP  returns the value of the one norm,  or the Frobenius
         norm,  or  the   infinity norm,  or the  element of  largest
         absolute value  of a triangular matrix A, supplied in packed
         form.
    
    
    DESCRIPTION
         SLANTP returns the value
    
            SLANTP = ( 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  SLANTP  as
                   described above.
    
         UPLO      (input) CHARACTER*1
                   Specifies whether the matrix A is upper  or  lower
                   triangular.  = 'U':  Upper triangular
                   = 'L':  Lower triangular
    
         DIAG      (input) CHARACTER*1
                   Specifies whether or not the matrix A is unit tri-
                   angular.  = 'N':  Non-unit triangular
                   = 'U':  Unit triangular
    
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.  When N  =  0,
                   SLANTP is set to zero.
    
         AP        (input) REAL array, dimension (N*(N+1)/2)
                   The upper or lower  triangular  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.   Note that when DIAG = 'U', the elements
                   of the array AP corresponding to the diagonal ele-
                   ments  of the matrix A are not referenced, but are
                   assumed to be one.
    
         WORK      (workspace) REAL array, dimension (LWORK),
                   where LWORK >= N when NORM = 'I'; otherwise,  WORK
                   is not referenced.
    
    
    
    


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