Mixed and componentwise condition numbers of nonsymmetric algebraic Riccati equation

DOI10.1016/j.amc.2012.01.026zbMath1246.65072OpenAlexW1985053710MaRDI QIDQ433311

Lan-dong Liu

Publication date: 13 July 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.01.026

zbMATH Keywords

numerical experimentnonsymmetric algebraic Riccati equationmixed and componentwise condition number

Mathematics Subject Classification ID

Related Items (8)

Condition number and backward errors of nonsymmetric algebraic Riccati equation ⋮ On iterative algorithm and perturbation analysis for the nonlinear matrix equation ⋮ Condition numbers and backward error of a matrix polynomial equation arising in stochastic models ⋮ Low-rank approximation to the solution of a nonsymmetric algebraic Riccati equation from transport theory ⋮ Two kinds of condition numbers for the quadratic matrix equation ⋮ Structured condition numbers and small sample condition estimation of symmetric algebraic Riccati equations ⋮ Perturbation analysis of a quadratic matrix equation associated with an \(M\)-matrix ⋮ Normwise, mixed and componentwise condition numbers of matrix equation X-∑_{i=1}^p A_i^T XA_i + ∑_{j=1}^q B_j^T XB_j = Q$

Uses Software

• mctoolbox

Cites Work

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• Structured mixed and componentwise condition numbers of some structured matrices
• A new class of nonsymmetric algebraic Riccati equations
• Perturbation analysis and condition numbers of symmetric algebraic Riccati equations
• Sensitivity analysis of the discrete-time algebraic Riccati equation
• Condition numbers of algebraic Riccati equations in the Frobenius norm
• A survey of nonsymmetric Riccati equations
• Accurate solutions of \(M\)-matrix Sylvester equations
• Accurate solutions of \(M\)-matrix algebraic Riccati equations
• A structure-preserving doubling algorithm for nonsymmetric algebraic Riccati equation
• On the Iterative Solution of a Class of Nonsymmetric Algebraic Riccati Equations
• Nonsymmetric Algebraic Riccati Equations and Wiener--Hopf Factorization for M-Matrices
• Mixed, Componentwise, and Structured Condition Numbers
• On mixed and componentwise condition numbers for Moore–Penrose inverse and linear least squares problems
• A Fast Newton's Method for a Nonsymmetric Algebraic Riccati Equation
• Nonsymmetric Algebraic Riccati Equations and Hamiltonian-like Matrices
• Accuracy and Stability of Numerical Algorithms
• Perturbation Analysis of the Periodic Discrete-Time Algebraic Riccati Equation

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