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zlanhb (3)
  • >> zlanhb (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         zlanhb - return the value of the one norm, or the  Frobenius
         norm,  or the infinity norm, or the element of largest abso-
         lute value of an n by n hermitian  band  matrix  A,  with  k
         super-diagonals
    
    SYNOPSIS
         DOUBLE PRECISION FUNCTION ZLANHB(  NORM,  UPLO,  N,  K,  AB,
                   LDAB, WORK )
    
         CHARACTER NORM, UPLO
    
         INTEGER K, LDAB, N
    
         DOUBLE PRECISION WORK( * )
    
         COMPLEX*16 AB( LDAB, * )
    
    
    
         #include <sunperf.h>
    
         double zlanhb(char norm, char uplo, int n, int k, doublecom-
                   plex *zab, int ldab) ;
    
    PURPOSE
         ZLANHB  returns the value of the one norm,  or the Frobenius
         norm,  or  the   infinity  norm,  or the element of  largest
         absolute value  of an n by n hermitian band matrix A,   with
         k super-diagonals.
    
    
    DESCRIPTION
         ZLANHB returns the value
    
            ZLANHB = ( 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  ZLANHB  as
                   described above.
    
         UPLO      (input) CHARACTER*1
                   Specifies whether the upper  or  lower  triangular
                   part  of  the  band  matrix A is supplied.  = 'U':
                   Upper triangular
                   = 'L':  Lower triangular
    
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.  When N  =  0,
                   ZLANHB is set to zero.
    
         K         (input) INTEGER
                   The number of super-diagonals or sub-diagonals  of
                   the band matrix A.  K >= 0.
    
         AB        (input) COMPLEX*16 array, dimension (LDAB,N)
                   The upper or lower triangle of the hermitian  band
                   matrix A, stored in the first K+1 rows of AB.  The
                   j-th column of A is stored in the j-th  column  of
                   the   array   AB  as  follows:   if  UPLO  =  'U',
                   AB(k+1+i-j,j) = A(i,j)  for  max(1,j-k)<=i<=j;  if
                   UPLO   =   'L',   AB(1+i-j,j)     =   A(i,j)   for
                   j<=i<=min(n,j+k).  Note that the  imaginary  parts
                   of  the  diagonal elements need not be set and are
                   assumed to be zero.
    
         LDAB      (input) INTEGER
                   The leading dimension of the array  AB.   LDAB  >=
                   K+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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