The Cayley-Hamilton theorem and inverse problems for multiparameter systems

  • Košir T
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Abstract

We review some of the current research in multiparameter spectral theory. We prove a version of the Cayley-Hamilton theorem for multiparameter systems and list a few inverse problems for such systems. Some consequences of results on determinantal representations proved by Dixon, Dickson and Vinnikov for the inverse problems are discussed. © 2003 Elsevier Science Inc. All rights reserved.

Author-supplied keywords

  • Cayley-Hamilton theorem
  • Determinantal representations
  • Inverse problems
  • Multiparameter systems

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Authors

  • Tomaž Košir

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