GNU/Linux |
CentOS 4.8 |
i386 |
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slange(l) |
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SLANGE - return 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
REAL FUNCTION |
SLANGE( NORM, M, N, A, LDA, WORK ) |
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CHARACTER |
NORM |
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INTEGER |
LDA, M, N |
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REAL |
A( LDA, * ), WORK( * ) |
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 returns the value
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 matrix norm.
NORM (input) CHARACTER*1
Specifies the value to be returned in SLANGE as described above.
M (input) INTEGER
The number of rows of the matrix A. M >= 0. When M = 0, SLANGE is set to zero.
N (input) INTEGER
The number of columns of the matrix A. N >= 0. When N = 0, SLANGE is set to zero.
A (input) REAL array, dimension (LDA,N)
The m by n matrix A.
LDA (input) INTEGER
The leading dimension of the array A. LDA >= max(M,1).
WORK (workspace) REAL array, dimension (LWORK),
where LWORK >= M when NORM = ’I’; otherwise, WORK is not referenced.
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slange(l) | ![]() |