Polynomial Factorization via the Riccati Equation
From MaRDI portal
Publication:4159578
DOI10.1137/0131017zbMath0379.30001OpenAlexW2073190968MaRDI QIDQ4159578
David J. Clements, Brian D. O. Anderson
Publication date: 1976
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0131017
Polynomials in real and complex fields: factorization (12D05) Real polynomials: location of zeros (26C10) Polynomials and rational functions of one complex variable (30C10) Matrix and operator functional equations (39B42)
Related Items
On discrete algebraic Riccati equations: a rank characterization of solutions ⋮ Characterization of solutions of non-symmetric algebraic Riccati equations ⋮ Non-symmetric matrix Riccati equations ⋮ Reduction of discrete algebraic Riccati equations: elimination of generalized eigenvalues on the unit circle ⋮ Design of coupled decentralized output regulators ⋮ Non-blow-up conditions for Riccati-type matrix differential and difference equations ⋮ Asymmetric algebraic Riccati equation: A homeomorphic parametrization of the set of solutions ⋮ Asymptotic dynamics of Hermitian Riccati difference equations ⋮ The open-loop linear quadratic differential game for index one descriptor systems ⋮ Parametric polynomial spectral factorization using the sum of roots and its application to a control design problem ⋮ Spectral factorization of non-symmetric polynomial matrices ⋮ Necessary conditions for constant solutions of coupled Riccati equations in Nash games ⋮ A survey of nonsymmetric Riccati equations