Some extensions of the Cayley-Hamilton theorem and their applications

Tadeusz Kaczorek

doi:10.1117/12.2320559

1 October 2018 Some extensions of the Cayley-Hamilton theorem and their applications

Tadeusz Kaczorek

Proceedings Volume 10808, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2018; 108081I (2018) https://doi.org/10.1117/12.2320559
Event: Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2018, 2018, Wilga, Poland

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.

Citation Download Citation

Tadeusz Kaczorek "Some extensions of the Cayley-Hamilton theorem and their applications", Proc. SPIE 10808, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2018, 108081I (1 October 2018); https://doi.org/10.1117/12.2320559

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