Structured Shamanskii methods for Chandrasekhar equation arising from radiation

DOI10.3176/proc.2020.2.01OpenAlexW3028474187MaRDI QIDQ4988437

Zhao-Yun Meng, Bo Yu, Ning Dong

Publication date: 14 May 2021

Published in: Proceedings of the Estonian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3176/proc.2020.2.01

zbMATH Keywords

Newton's methodChandrasekhar equationfactor-alternating direction implicit iterationstructured Shamanskii method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Computation of special functions and constants, construction of tables (65D20)

Cites Work

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• Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations
• Monotone convergence of Newton-like methods for \(M\)-matrix algebraic Riccati equations
• On the ADI method for Sylvester equations
• On the solution of coupled \(H\)-like equations of Chandrasekhar
• The decomposition method applied to Chandrasekhar \(H\)-equation
• On the tripling algorithm for large-scale nonlinear matrix equations with low rank structure
• Low memory and low complexity iterative schemes for a nonsymmetric algebraic Riccati equation arising from transport theory
• On the Iterative Solution of a Class of Nonsymmetric Algebraic Riccati Equations
• Nonsymmetric Algebraic Riccati Equations and Wiener--Hopf Factorization for M-Matrices
• The ADI Model Problem
• A Fast Newton's Method for a Nonsymmetric Algebraic Riccati Equation
• Explicit Solutions for a Riccati Equation from Transport Theory
• Nonsymmetric Algebraic Riccati Equations and Hamiltonian-like Matrices
• Solving Nonlinear Equations with Newton's Method
• Low Rank Solution of Lyapunov Equations
• On Coupled Integral H-Like Equations of Chandrasekhar