Companion factorization in the general linear group \(\mathrm{GL}(n,\mathbb C)\) and applications

DOI10.1016/j.laa.2010.11.016zbMath1210.15014OpenAlexW2050472960MaRDI QIDQ624529

Juan-Miguel Gracia

Publication date: 9 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.11.016

zbMATH Keywords

companion matrix\(LU\) factorizationcompanion factorizationstrictly nonsingular matrixsubdeterminants

Mathematics Subject Classification ID

Factorization of matrices (15A23) Determinants, permanents, traces, other special matrix functions (15A15) Canonical forms, reductions, classification (15A21)

Related Items (3)

Inverses of generalized Hessenberg matrices ⋮ Non-symbolic algorithms for the inversion of tridiagonal matrices ⋮ Application of the companion factorization to linear non-autonomous area-preserving maps

Cites Work

• Unnamed Item
• Unnamed Item
• Factorization of matrix and operator functions. The state space method
• Determinants and their applications in mathematical physics
• Solving difference equations in finite terms
• On the matrix powers and exponential by the \(r\)-generalized Fibonacci sequences methods: The companion matrix case
• A note on companion matrices
• Intrinsic products and factorizations of matrices
• Application of the companion factorization to linear non-autonomous area-preserving maps
• Bad products of good matrices
• A factorization theorem for matrices
• Using the Hessenberg decomposition in control theory
• Products of Hermitian Matrices and Symmetries

This page was built for publication: Companion factorization in the general linear group \(\mathrm{GL}(n,\mathbb C)\) and applications