Solution of Lyapunov and Riccati equations in a multiprocessor environment

DOI10.1016/S0362-546X(96)00201-5zbMath0891.65045OpenAlexW1971808622MaRDI QIDQ4375939

Dragoslav D. Šiljak, Aleksandar I. Zečević

Publication date: 19 July 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00201-5

zbMATH Keywords

parallel computationLyapunov matrix equationRiccati matrix equations

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Matrix equations and identities (15A24) Parallel numerical computation (65Y05)

Related Items

Numerical solution of large‐scale Lyapunov equations, Riccati equations, and linear‐quadratic optimal control problems

Uses Software

• RICPAC
• Algorithm 432

Cites Work

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• On the energetic Galerkin boundary element method applied to interior wave propagation problems
• SOR for \(AX-XB=C\)
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A Hamiltonian $QR$ Algorithm
• A Schur method for solving algebraic Riccati equations
• A Generalized Eigenvalue Approach for Solving Riccati Equations
• Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
• Numerical Solution of the Stable, Non-negative Definite Lyapunov Equation Lyapunov Equation
• Parallel algorithms for algebraic Riccati equations
• Krylov Subspace Methods for Solving Large Lyapunov Equations
• A Block-Parallel Newton Method via Overlapping Epsilon Decompositions
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• Matrix Quadratic Solutions

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