Some extensions of the Cayley-Hamilton theorem and their applications

Tadeusz Kaczorek

Abstract

The classical Cayley-Hamilton theorem is extended to rectangular matrices, block matrices, matrices depending on parameters, descriptor linear systems, right and left inverse matrices, rational matrices, nonlinear time-varying matrices and Drazin inverse matrices. New procedures for computation of inverse matrices and Drazin inverse matrices are proposed.
Author Tadeusz Kaczorek (FoEE / ICIE) - [Politechnika Bialostocka]
Tadeusz Kaczorek,,
- The Institute of Control and Industrial Electronics
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Book Romaniuk Ryszard, Linczuk M (eds.): PHOTONICS APPLICATIONS IN ASTRONOMY, COMMUNICATIONS, INDUSTRY, AND HIGH-ENERGY PHYSICS EXPERIMENTS 2018, Proceedings of SPIE, vol. 10808, 2018, SPIE-INT SOC OPTICAL ENGINEERING, ISBN 978-1-5106-2204-3
Keywords in EnglishCayley-Hamilton theorem; extension; Drazin inverse matrices; computation; descriptor
DOIDOI:10.1117/12.2320559
LanguageEnglish
Score (nominal)0
ScoreMinisterial score = 0.0, 24-07-2019, ChapterFromConference
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