A computer-aided method for the factorization of matrix polynomials†

DOI10.1080/00207728108963748zbMath0452.93018OpenAlexW1974273473MaRDI QIDQ3899898

Nicolas Chahin, Leang San Shieh

Publication date: 1981

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728108963748

zbMATH Keywords

spectral factorizationNewton-Raphson methodcontinued fraction approachcomputer-aided methodroot-locus approachmatrix-polynomial factorization

Mathematics Subject Classification ID

Related Items (10)

A fast method for computing the principal \(n\)-th roots of complex matrices ⋮ Block power method for computing solvent and spectral factors of matrix polynomials ⋮ Multivariable state-feedback self-tuning controllers^∗ ⋮ A doubling approach for determining the solution of Riccati-type equations utilizing matrix continued fractions ⋮ Algorithms for solvents and spectral factors of matrix polynomials ⋮ Transformations of solvents and spectral factors of matrix polynomials, and their applications† ⋮ Block partial fraction expansion of a rational matrix ⋮ Unnamed Item ⋮ Computation of roots of real and complex matrices ⋮ A general factorization method for multivariable polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Matrix polynomials, roots and spectral factors
• Additional properties and applications of matrix continued fraction†
• The Algebraic Theory of Matrix Polynomials
• A matrix in the block Schwarz form and the stability of matrix polynomials
• Some Sufficient and Some Necessary Conditions for the Stability of Multivariable Systems
• On covariance propagation using matrix continued fractions
• A normalized multidimensional Newton-Raphson method†

This page was built for publication: A computer-aided method for the factorization of matrix polynomials†