A modified structure-preserving doubling algorithm for nonsymmetric algebraic Riccati equations from transport theory

DOI10.1016/j.cam.2013.09.058zbMath1278.15013OpenAlexW2038900207MaRDI QIDQ390472

Xiao-Xia Guo, Pei-Chang Guo

Publication date: 8 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.cam.2013.09.058

zbMATH Keywords

transport theoryCauchy-like matrixbalancing strategynonsymmetric algebraic Riccati equationstructure-preserving doubling algorithm

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Matrix equations and identities (15A24)

Related Items (3)

Solving large-scale nonsymmetric algebraic Riccati equations from two-dimensional transport models by doubling ⋮ The double deflating technique for irreducible singular M-matrix algebraic Riccati equations in the critical case ⋮ A modified large-scale structure-preserving doubling algorithm for a large-scale Riccati equation from transport theory

Cites Work

• Unnamed Item
• Fast solution of a certain Riccati equation through Cauchy-like matrices
• Convergence rates of some iterative methods for nonsymmetric algebraic Riccati equations arising in transport theory
• 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 subspace shift technique for nonsymmetric algebraic Riccati equations associated with an M-matrix
• Newton iterations for a non‐symmetric 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
• Explicit Solutions for a Riccati Equation from Transport Theory
• Nonsymmetric Algebraic Riccati Equations and Hamiltonian-like Matrices
• Fast Gaussian Elimination with Partial Pivoting for Matrices with Displacement Structure
• Solution Form and Simple Iteration of a Nonsymmetric Algebraic Riccati Equation Arising in Transport Theory

This page was built for publication: A modified structure-preserving doubling algorithm for nonsymmetric algebraic Riccati equations from transport theory