Spectral radius of a nonnegative matrix: from rome to indy
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- by Michał Misiurewicz PDF
- Proc. Amer. Math. Soc. 141 (2013), 3977-3983 Request permission
Abstract:
We generalize the rome method of computing the spectral radius of a nonnegative matrix, used often in one-dimensional dynamics, to the indy method, which works well in many cases when using the rome method is difficult.References
- Lluís Alsedà, Jaume Llibre, and MichałMisiurewicz, Combinatorial dynamics and entropy in dimension one, 2nd ed., Advanced Series in Nonlinear Dynamics, vol. 5, World Scientific Publishing Co., Inc., River Edge, NJ, 2000. MR 1807264, DOI 10.1142/4205
- Louis Block, John Guckenheimer, MichałMisiurewicz, and Lai Sang Young, Periodic points and topological entropy of one-dimensional maps, Global theory of dynamical systems (Proc. Internat. Conf., Northwestern Univ., Evanston, Ill., 1979) Lecture Notes in Math., vol. 819, Springer, Berlin, 1980, pp. 18–34. MR 591173
- Richard A. Brualdi, Spectra of digraphs, Linear Algebra Appl. 432 (2010), no. 9, 2181–2213. MR 2599853, DOI 10.1016/j.laa.2009.02.033
- Carl Meyer, Matrix analysis and applied linear algebra, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2000. With 1 CD-ROM (Windows, Macintosh and UNIX) and a solutions manual (iv+171 pp.). MR 1777382, DOI 10.1137/1.9780898719512
- Peter Walters, An introduction to ergodic theory, Graduate Texts in Mathematics, vol. 79, Springer-Verlag, New York-Berlin, 1982. MR 648108
Additional Information
- Michał Misiurewicz
- Affiliation: Department of Mathematical Sciences, Indiana University–Purdue University Indianapolis, 402 N. Blackford Street, Indianapolis, Indiana 46202
- MR Author ID: 125475
- Email: mmisiure@math.iupui.edu
- Received by editor(s): January 29, 2012
- Published electronically: July 30, 2013
- Communicated by: Nimish Shah
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 3977-3983
- MSC (2010): Primary 37B40, 15A18; Secondary 05C50, 05C20
- DOI: https://doi.org/10.1090/S0002-9939-2013-11846-0
- MathSciNet review: 3091788