slange.f - Man Page
SRC/slange.f
Synopsis
Functions/Subroutines
real function slange (norm, m, n, a, lda, work)
SLANGE 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
real function slange (character norm, integer m, integer n, real, dimension( lda, * ) a, integer lda, real, dimension( * ) work)
SLANGE 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:
SLANGE returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real matrix A.
- Returns
SLANGE
SLANGE = ( 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 SLANGE as described above.
M
M is INTEGER The number of rows of the matrix A. M >= 0. When M = 0, SLANGE is set to zero.
N
N is INTEGER The number of columns of the matrix A. N >= 0. When N = 0, SLANGE is set to zero.
A
A is REAL 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 REAL 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.
Definition at line 113 of file slange.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Referenced By
The man page slange(3) is an alias of slange.f(3).
Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK