Solving the nonnegative solution for a (shifted) nonsymmetric algebraic Riccati equation in the critical case

DOI10.1016/j.amc.2009.12.052zbMath1191.65040OpenAlexW1976156581MaRDI QIDQ979245

Chuanxing Li, Xiao-Xia Guo

Publication date: 25 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.12.052

zbMATH Keywords

critical casenonnegative solutioniteration methodsnonsymmetric algebraic Riccati equationshifted technique

Mathematics Subject Classification ID

Related Items (3)

A new class of complex nonsymmetric algebraic Riccati equations with its ω-comparison matrix being an irreducible singular M-matrix ⋮ Numerical methods for an algebraic Riccati equation arising in transport theory in the critical case ⋮ The double deflating technique for irreducible singular M-matrix algebraic Riccati equations in the critical case

Cites Work

• Existence of algebraic matrix Riccati equations arising in transport theory
• 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
• A Shifted Cyclic Reduction Algorithm for Quasi-Birth-Death Problems
• On the Doubling Algorithm for a (Shifted) Nonsymmetric Algebraic Riccati Equation
• A Fast Newton's Method for a Nonsymmetric Algebraic Riccati Equation
• Fast Iterative Schemes for Nonsymmetric Algebraic Riccati Equations Arising from Transport Theory
• Alternately linearized implicit iteration methods for the minimal nonnegative solutions of the nonsymmetric algebraic Riccati equations
• Convergence of an iterative technique for algebraic Matrix Riccati equations and applications to transport theory
• Nonsymmetric Algebraic Riccati Equations and Hamiltonian-like Matrices
• Iterative solution for a certain class of algebraic matrix riccati equations arising in transport theory
• Solution Form and Simple Iteration of a Nonsymmetric Algebraic Riccati Equation Arising in Transport Theory

This page was built for publication: Solving the nonnegative solution for a (shifted) nonsymmetric algebraic Riccati equation in the critical case