
NAMEzlange.f SYNOPSISFunctions/SubroutinesDOUBLE PRECISION function zlange (NORM, M, N, A, LDA, WORK) Function/Subroutine DocumentationDOUBLE PRECISION function zlange (characterNORM, integerM, integerN, complex*16, dimension( lda, * )A, integerLDA, double precision, dimension( * )WORK)ZLANGE returns the value of the 1norm, Frobenius norm, infinitynorm, 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. ZLANGE
Parameters:
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. NORM
Author:
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. Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
September 2012
Definition at line 116 of file zlange.f.
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