On the elementary divisors of the Sylvester and Lyapunov maps

DOI10.1016/j.laa.2009.12.003zbMath1188.15021OpenAlexW2005943013MaRDI QIDQ962087

Paul A. Fuhrmann, Uwe R. Helmke

Publication date: 6 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.12.003

zbMATH Keywords

tensor productspolynomial modelsinvariant factorsthe Lyapunov mapthe Sylvester map

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69)

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Cites Work

• Tensored polynomial models
• Combinatorial verification of the elementary divisors of tensor products
• Stability theory for high order equations
• Algebraic system theory: An analyst's point of view
• Bézoutians
• On Jordan bases for the tensor product and Kronecker sum and their elementary divisors over fields of prime characteristic
• Elementary divisors of tensor products
• On direct product matrices
• The Normal Form of Compound and Induced Matrices
• Reflexivity of Tensor Products of Linear Transformations
• On Induced and Compound Matrices
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