On Eigenvalue Bounds and Iteration Methods for Discrete Algebraic Riccati Equations
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Publication:2885732
DOI10.4208/jcm.1010-m3258zbMath1249.65092OpenAlexW2330619591MaRDI QIDQ2885732
Publication date: 1 June 2012
Published in: Journal of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/jcm.1010-m3258
convergencenumerical resultsfixed-point iterationeigenvalue bounddiscrete algebraic Riccati equationmatrix inversionssymmetric positive definite solutionSchulz iteration
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Convergence analysis of Newton method without inversion for solving discrete algebraic Riccati equations ⋮ Robust regulation of discrete-time systems subject to parameter uncertainties and state delay ⋮ Upper and lower eigenvalue summation bounds of the Lyapunov matrix differential equation and the application in a class time-varying nonlinear system ⋮ Lower Eigenvalue Bounds on Summation for the Solution of the Lyapunov Matrix Differential Equation ⋮ Two kinds of condition numbers for the quadratic matrix equation ⋮ A further study on a nonlinear matrix equation ⋮ Numerical algorithms of the discrete coupled algebraic Riccati equation arising in optimal control systems ⋮ The eigenvalue product bounds of the Lyapunov matrix differential equation and the stability of a class of time-varying nonlinear system
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