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The infinity norm bound for the inverse of nonsingular diagonal dominant matrices

✍ Scribed by Wen Li


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
174 KB
Volume
21
Category
Article
ISSN
0893-9659

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✦ Synopsis


In this note, we bound the inverse of nonsingular diagonal dominant matrices under the infinity norm. This bound is always sharper than the one in [P.N.


πŸ“œ SIMILAR VOLUMES


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