Evaluating products of matrix pencils and collapsing matrix products

DOI10.1002/nla.251zbMath1055.65053OpenAlexW2087958846MaRDI QIDQ4828884

Peter Benner, Ralph Byers

Publication date: 26 November 2004

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.251

zbMATH Keywords

eigenvaluesperiodic controlbackward stabilityrounding error analysisperiodic Riccati equationdiscrete-time periodic systemsperiodic matrix product

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Discrete-time control/observation systems (93C55) Roundoff error (65G50) Matrix pencils (15A22)

Related Items

Finite rank perturbations of linear relations and matrix pencils ⋮ On Characteristic Invariants of Matrix Pencils and Linear Relations ⋮ Linear relations and the Kronecker canonical form ⋮ Ralph Byers 1955--2007 ⋮ Robust \(H_{\infty}\) control of spacecraft rendezvous on elliptical orbit ⋮ Robust formulas for \(H_{\infty }\) optimal controllers ⋮ A generalized structure-preserving doubling algorithm for generalized discrete-time algebraic Riccati equations ⋮ Computing periodic deflating subspaces associated with a specified set of eigenvalues ⋮ Structure-Preserving Algorithms for Periodic Discrete-Time Algebraic Riccati Equations ⋮ Backward errors of periodic invariant subspaces for regular periodic matrix pairs ⋮ On solving periodic Riccati equations ⋮ A structure-preserving doubling algorithm for nonsymmetric algebraic Riccati equation ⋮ A numerical evaluation of solvers for the periodic Riccati differential equation ⋮ An arithmetic for matrix pencils: theory and new algorithms ⋮ Computing the zeros of periodic descriptor systems ⋮ Structured doubling algorithms for weakly stabilizing Hermitian solutions of algebraic Riccati equations

Uses Software

• LAPACK
• ScaLAPACK
• SLICOT
• mctoolbox

Cites Work

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