Common fixed points and common eigenvectors for sets ...
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| Title | Common fixed points and common eigenvectors for sets of matrices |
| Author(s) | J. Bernik, R. Drnovsek, T. Kosir, T. Laffey, G. MacDonald, R. Meshulam, M. Omladic, H. Radjavi |
| Journal | Linear & Multilinear Algebra |
| Date | 2005 |
| Volume | 53 |
| Issue | 2 |
| Start page | 137 |
| End page | 146 |
| Abstract | The following questions are studied: Under what conditions does the existence of a (nonzero) fixed point for every member of a semigroup of matrices imply a common fixed point for the entire semigroup? What is the smallest number k such that the existence of a common fixed point for every k members of a semigroup implies the same for the semigroup? If every member has a fixed space of dimension at least k: What is the best that can be said about the common fixed space? We also consider analogs of these questions with general eigenspaces replacing fixed spaces. |
| ISSN | 0308-1087 |
Using APA 6th Edition citation style.
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