Scroll to navigation

zlange.f(3) LAPACK zlange.f(3)

NAME

zlange.f -

SYNOPSIS

Functions/Subroutines


double precision function zlange (NORM, M, N, A, LDA, WORK)
 
ZLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix.

Function/Subroutine Documentation

double precision function zlange (characterNORM, integerM, integerN, complex*16, dimension( lda, * )A, integerLDA, double precision, dimension( * )WORK)

ZLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix.
Purpose:
 ZLANGE  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 matrix A.
Returns:
ZLANGE
    ZLANGE = ( 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 consistent matrix norm.
Parameters:
NORM
          NORM is CHARACTER*1
          Specifies the value to be returned in ZLANGE as described
          above.
M
          M is INTEGER
          The number of rows of the matrix A.  M >= 0.  When M = 0,
          ZLANGE is set to zero.
N
          N is INTEGER
          The number of columns of the matrix A.  N >= 0.  When N = 0,
          ZLANGE is set to zero.
A
          A is COMPLEX*16 array, dimension (LDA,N)
          The m by n matrix A.
LDA
          LDA is INTEGER
          The leading dimension of the array A.  LDA >= max(M,1).
WORK
          WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
          where LWORK >= M when NORM = 'I'; otherwise, WORK is not
          referenced.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
September 2012
Definition at line 116 of file zlange.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.
Wed Oct 15 2014 Version 3.4.2