Geršgorin variations IV: A left eigenvector approach
| Autor: | Chai Wah Wu, Alan J. Hoffman |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Numerical Analysis
Algebra and Number Theory Contrast (statistics) 010103 numerical & computational mathematics Mathematical proof 01 natural sciences 010101 applied mathematics Combinatorics Matrix (mathematics) Singularity Generalized eigenvector Simple (abstract algebra) Discrete Mathematics and Combinatorics Geometry and Topology 0101 mathematics Eigenvalues and eigenvectors Mathematics |
| Zdroj: | Linear Algebra and its Applications. 498:136-144 |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/j.laa.2015.02.009 |
| Popis: | We use the left vanishing eigenvector to prove various well-known conditions for determining the nonsingularity of matrices via row sums. This is in contrast to the classical approach of using the right vanishing eigenvector. We show that on occasion this approach results in simpler proofs and generalizations of well-known results. We also present a simple proof of a generalized Gudkov's theorem. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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