On the semigroup of standard symplectic matrices and its applications

DOI10.1016/j.laa.2004.03.017zbMath1065.15022OpenAlexW2047570491MaRDI QIDQ1887618

Fasma Diele, Nicoletta Del Buono, Moody T. Chu, Tiziano Politi, Stefania Ragni

Publication date: 22 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.03.017

zbMATH Keywords

SemigroupBlock LU decompositionDiscrete algebraic Riccati equationPower methodStandard symplectic formStructure preserving algorithm

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrix equations and identities (15A24) Algebraic systems of matrices (15A30)

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Uses Software

• Matlab
• Control System Toolbox
• RICPAC

Cites Work

• The autonomous linear quadratic control problem. Theory and numerical solution
• Parallel algorithms for LQ optimal control of discrete-time periodic linear systems
• The difference periodic Ricati equation for the periodic prediction problem
• On the numerical solution of the discrete-time algebraic Riccati equation
• A Generalized Eigenvalue Approach for Solving Riccati Equations
• Numerical solution of the discrete-time periodic Riccati equation
• Periodic descriptor systems: solvability and conditionability
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