Decoupling of cubic polynomial matrix systems

DOI10.3934/naco.2020012zbMath1479.15016OpenAlexW3004877956MaRDI QIDQ2061318

Guoshan Zhang, Peizhao Yu, Yi Zhang

Publication date: 13 December 2021

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2020012

zbMATH Keywords

linearizationdecouplingcubic polynomial matrixisospectral diagonalization

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Canonical forms, reductions, classification (15A21) Numerical methods for matrix equations (65F45)

Cites Work

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• Stratification of full rank polynomial matrices
• Spectral equivalence of matrix polynomials and the index sum theorem
• Deflating quadratic matrix polynomials with structure preserving transformations
• Diagonalization of quadratic matrix polynomials
• Analysis and design of descriptor linear systems
• Triangularizing matrix polynomials
• Triangularizing Quadratic Matrix Polynomials
• Linearization of regular matrix polynomials
• Canonical Forms for Hermitian Matrix Pairs under Strict Equivalence and Congruence
• Vector Spaces of Linearizations for Matrix Polynomials

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