Generalizations of the spectral theorem for matrices. II. Matrix polynomials over arbitrary fields

DOI10.1016/0024-3795(84)90021-1zbMath0548.15026OpenAlexW2032967098WikidataQ126815487 ScholiaQ126815487MaRDI QIDQ799763

Robert E. Hartwig

Publication date: 1984

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90021-1

zbMATH Keywords

matrix polynomialsspectral theoremDrazin inversesfunctions of real matricesgeneralized interpolation

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items

Bounds on the exponent of primitivity which depend on the spectrum and the minimal polynomial, Generalized polynomial bases and the Bézoutian, Proof of a conjecture about the exponent of primitive matrices, A bound on the exponent of a primitive matrix using Boolean rank

Cites Work

• Proceedings of Liverpool singularities-symposium. I
• On the Derivative of the Drazin Inverse of a Complex Matrix
• A Note on Jacobson Chains
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