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Bounds for the singular values of a matrix involving its sparsity pattern

✍ Scribed by L. Yu. Kolotilina


Publisher
Springer US
Year
2006
Tongue
English
Weight
441 KB
Volume
137
Category
Article
ISSN
1573-8795

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Bounds for norms of the matrix inverse a
✍ Nenad Morača πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 172 KB

In the first part, we obtain two easily calculable lower bounds for A -1 , where β€’ is an arbitrary matrix norm, in the case when A is an M-matrix, using first row sums and then column sums. Using those results, we obtain the characterization of M-matrices whose inverses are stochastic matrices. With