Generalizations of the spectral theorem for matrices. II. Matrix polynomials over arbitrary fields
type: Item
instance of: scholarly article
title: Generalizations of the spectral theorem for matrices. II. Matrix polynomials over arbitrary fields
zbMATH Open document ID: 0548.15026
DOI: 10.1016/0024-3795(84)90021-1
published in: Linear Algebra and its Applications
publication date: 1984-01-01T00:00:00Z
review text: The spectral theorem for matrices is generalized to matrix polynomials over arbitrary fields. An associated theory of generalized interpolation with respect to a set of prime polynomials is developed, and Drazin inverses are used to identify the spectral components. These results are then used to state the spectral theorem for functions of real matrices.
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 3873518
zbMATH Keywords: spectral theorem
zbMATH Keywords: matrix polynomials
zbMATH Keywords: generalized interpolation
zbMATH Keywords: Drazin inverses
zbMATH Keywords: functions of real matrices
author: R. E. Hartwig
MaRDI profile type: Publication
full work available at URL: 0024-3795(84)90021-1
OpenAlex ID: W2032967098
cites work: On the Derivative of the Drazin Inverse of a Complex Matrix
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Wikidata QID: Q126815487
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description: scientific article; zbMATH DE number 3873518