Symmetry properties of and reduction principles for divisibility relations between the invariant factors of products of holomorphic matrix functions

DOI10.1016/0024-3795(93)00165-VzbMath0824.15010OpenAlexW2068630560MaRDI QIDQ1805199

G. Philip. A. Thijsse

Publication date: 12 June 1995

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

Full work available at URL: https://doi.org/10.1016/0024-3795(93)00165-v

zbMATH Keywords

Young tableauxinvariant factorsreduction principlesdivisibility relationsholomorphic matrix functions

Mathematics Subject Classification ID

Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21)

Cites Work

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• On the partial multiplicities of a product of two matrix polynomials
• Rules for the partial multiplicities of the product of holomorphic matrix functions
• The local invariant factors of a product of holomorphic matrix functions: The order 4 case
• Unsolved problems in matrix and operator theory. II. Partial multiplicities for products
• The Hall polynomial
• Simultaneous reduction to companion and triangular forms of sets of matrices
• An Inequality for Invariant Factors
• The Multiplication of Schur-Functions and Extensions of p -Modules

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