Numerical method based on fiber bundle for solving Lyapunov matrix equation

DOI10.1016/j.matcom.2021.10.031OpenAlexW3212197080MaRDI QIDQ2060317

Aung Naing Win, Mingming Li

Publication date: 13 December 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2021.10.031

zbMATH Keywords

stabilityLyapunov equationgeodesic distanceRiemannian gradientpositive definite Hermitian matrix

Mathematics Subject Classification ID

Numerical analysis (65-XX) Systems theory; control (93-XX)

Cites Work

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• Extended Hamiltonian algorithm for the solution of discrete algebraic Lyapunov equations
• Intrinsic statistics on Riemannian manifolds: Basic tools for geometric measurements
• ADI preconditioned Krylov methods for large Lyapunov matrix equations
• Information-geometric indicators of chaos in Gaussian Models on statistical manifolds of negative Ricci Curvature
• Estimates from the discrete-time Lyapunov equation
• Riemannian gradient algorithm for the numerical solution of linear matrix equations
• A natural gradient descent algorithm for the solution of discrete algebraic Lyapunov equations based on the geodesic distance
• The extended Hamiltonian algorithm for the solution of the algebraic Riccati equation
• A Natural Gradient Descent Algorithm for the Solution of Lyapunov Equations Based on the Geodesic Distance
• Means and Averaging in the Group of Rotations
• Low Rank Solution of Lyapunov Equations
• A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices
• Geometric Means in a Novel Vector Space Structure on Symmetric Positive‐Definite Matrices

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