Maximum norm of matrix
This function returns the max norm of a real matrix.
maximum.norm(x)
x |
a numeric matrix or vector |
Let {\bf{x}} be an m \times n real matrix. The max norm returned is ≤ft\| {\bf{x}} \right\|_{\max } = \mathop {\max }\limits_{i,j} ≤ft| {x_{i,j} } \right|.
A numeric value.
Frederick Novomestky fnovomes@poly.edu
Bellman, R. (1987). Matrix Analysis, Second edition, Classics in Applied Mathematics, Society for Industrial and Applied Mathematics.
Golub, G. H. and C. F. Van Loan (1996). Matrix Computations, Third Edition, The John Hopkins University Press.
Horn, R. A. and C. R. Johnson (1985). Matrix Analysis, Cambridge University Press.
A <- matrix( c( 3, 5, 7, 2, 6, 4, 0, 2, 8 ), nrow=3, ncol=3, byrow=TRUE ) maximum.norm( A )
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