slange (3) - Linux Manuals
REAL function slange (characterNORM, integerM, integerN, real, dimension( lda, * )A, integerLDA, 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.
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.
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.
NORM is CHARACTER*1 Specifies the value to be returned in SLANGE as described above.
M is INTEGER The number of rows of the matrix A. M >= 0. When M = 0, SLANGE is set to zero.
N is INTEGER The number of columns of the matrix A. N >= 0. When N = 0, SLANGE is set to zero.
A is REAL array, dimension (LDA,N) The m by n matrix A.
LDA is INTEGER The leading dimension of the array A. LDA >= max(M,1).
WORK is REAL array, dimension (MAX(1,LWORK)), where LWORK >= M when NORM = 'I'; otherwise, WORK is not referenced.
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Univ. of Colorado Denver
- September 2012
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