Factorization of Matrix Polynomials with Symmetries

DOI10.1137/S0895479892235502zbMath0810.15005OpenAlexW2077169642MaRDI QIDQ4305396

Leiba Rodman, André C. M. Ran

Publication date: 10 April 1995

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479892235502

zbMATH Keywords

optimal controloptimal filteringfactorizationsmatrix polynomialselementary divisorsselfadjoint matrix polynomialssymmetric matrix polynomialsinvertible matrix polynomial

Mathematics Subject Classification ID

Factorization of matrices (15A23) Filtering in stochastic control theory (93E11) Matrices over function rings in one or more variables (15A54)

Related Items (11)

Minimal symmetric factorizations of symmetric real and complex rational matrix functions ⋮ A Toeplitz algorithm for polynomial \(J\)-spectral factorization ⋮ On self-adjoint matrix polynomials with constant signature ⋮ A parametrisation for dissipative behaviours–the matrix case ⋮ Real factorization of positive semidefinite matrix polynomials ⋮ Generalized matrix spectral factorization and quasi-tight framelets with a minimum number of generators ⋮ Decomposably non-negative matrices ⋮ Systems with sector bound nonlinearities: a behavioral approach ⋮ A straightforward proof of the polynomial factorization of a positive semi-definite polynomial matrix ⋮ Dissipative systems synthesis: A linear algebraic approach ⋮ Symmetric factorizations and localization of zeroes of rational matrix functions

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