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zlangb (3)
  • >> zlangb (3) ( Solaris man: Библиотечные вызовы )
  • 
    NAME
         zlangb - 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 band matrix A, with kl sub-diagonals
         and ku super-diagonals
    
    SYNOPSIS
         DOUBLE PRECISION FUNCTION ZLANGB( NORM, N, KL, KU, AB, LDAB,
                   WORK )
    
         CHARACTER NORM
    
         INTEGER KL, KU, LDAB, N
    
         DOUBLE PRECISION WORK( * )
    
         COMPLEX*16 AB( LDAB, * )
    
    
    
         #include <sunperf.h>
    
         double zlangb(char norm, int n, int kl, int  ku,  doublecom-
                   plex *zab, int ldab) ;
    
    PURPOSE
         ZLANGB  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 band matrix  A,  with  kl  sub-
         diagonals and ku super-diagonals.
    
    
    DESCRIPTION
         ZLANGB returns the value
    
            ZLANGB = ( 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  ZLANGB  as
                   described above.
    
         N         (input) INTEGER
                   The order of the matrix A.  N >= 0.  When N  =  0,
                   ZLANGB is set to zero.
    
         KL        (input) INTEGER
                   The number of sub-diagonals of the matrix  A.   KL
                   >= 0.
    
         KU        (input) INTEGER
                   The number of super-diagonals of the matrix A.  KU
                   >= 0.
    
         AB        (input) COMPLEX*16 array, dimension (LDAB,N)
                   The band matrix A, stored in rows  1  to  KL+KU+1.
                   The  j-th column of A is stored in the j-th column
                   of the array  AB  as  follows:   AB(ku+1+i-j,j)  =
                   A(i,j) for max(1,j-ku)<=i<=min(n,j+kl).
    
         LDAB      (input) INTEGER
                   The leading dimension of the array  AB.   LDAB  >=
                   KL+KU+1.
    
         WORK      (workspace)  DOUBLE  PRECISION  array,   dimension
                   (LWORK),
                   where LWORK >= N when NORM = 'I'; otherwise,  WORK
                   is not referenced.
    
    
    
    


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