Low-rank generalized alternating direction implicit iteration method for solving matrix equations

DOI10.1007/S40314-024-02774-8MaRDI QIDQ6563135

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Publication date: 27 June 2024

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lyapunov equationcontinuous-time algebraic Riccati equationlow-rank generalized alternating direction implicit iteration

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Bayesian inference (62F15) Preconditioners for iterative methods (65F08) Numerical methods for matrix equations (65F45)

Cites Work

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• An invariant subspace method for large-scale algebraic Riccati equation
• RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations
• An inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations
• Solution of Lyapunov equations by alternating direction implicit iteration
• An extended block Arnoldi algorithm for large-scale solutions of the continuous-time algebraic Riccati equation
• On the ADI method for Sylvester equations
• Factorization of matrix functions and singular integral operators
• An implicitly restarted symplectic Lanczos method for the Hamiltonian eigenvalue problem
• Block Krylov subspace methods for large algebraic Riccati equations
• A generalization of the Hermitian and skew-Hermitian splitting iteration method for solving Sylvester equations
• A structure-preserving doubling algorithm for continuous-time algebraic Riccati equations
• Commuting solutions of the Yang-Baxter-like matrix equation for a class of rank-two updated matrices
• A new set of invariants for linear systems--Application to reduced order compensator design
• Analysis of the Rational Krylov Subspace and ADI Methods for Solving the Lyapunov Equation
• A New Iterative Method for Solving Large-Scale Lyapunov Matrix Equations
• A Schur method for solving algebraic Riccati equations
• Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†
• Using the Matrix Sign Function to Compute Invariant Subspaces
• A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
• Low Rank Solution of Lyapunov Equations
• A General Alternating-Direction Implicit Framework with Gaussian Process Regression Parameter Prediction for Large Sparse Linear Systems
• On a Matrix Riccati Equation of Stochastic Control

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