Iterative solution for a certain class of algebraic matrix riccati equations arising in transport theory

DOI10.1080/00411459308203530zbMath0774.65020OpenAlexW2000547016MaRDI QIDQ5285794

Jonq Juang, I-Der Chen

Publication date: 29 June 1993

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459308203530

zbMATH Keywords

convergencenonnegative solutionalgebraic Riccati equationiteration methodtransport theory\(L\)-matrices

Mathematics Subject Classification ID

Related Items (18)

Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations ⋮ Existence of algebraic matrix Riccati equations arising in transport theory ⋮ A class of iterative methods for solving nonsymmetric algebraic Riccati equations arising in transport theory ⋮ Convergence rates of iterative solutions of algebraic matrix Riccati equations ⋮ Some predictor-corrector-type iterative schemes for solving nonsymmetric algebraic Riccati equations arising in transport theory ⋮ Quadratic vector equations ⋮ Low memory and low complexity iterative schemes for a nonsymmetric algebraic Riccati equation arising from transport theory ⋮ Convergence Rates of a Class of Predictor-Corrector Iterations for the Nonsymmetric Algebraic Riccati Equation Arising in Transport Theory ⋮ On some Krylov subspace based methods for large-scale nonsymmetric algebraic Riccati problems ⋮ Convergence analysis of the Newton-Shamanskii method for a nonsymmetric algebraic Riccati equation ⋮ Solving the nonnegative solution for a (shifted) nonsymmetric algebraic Riccati equation in the critical case ⋮ The King-Werner method for solving nonsymmetric algebraic Riccati equation ⋮ Convergence analysis of a variant of the Newton method for solving nonlinear equations ⋮ Two-step relaxation Newton algorithm for solving nonlinear algebraic equations ⋮ Two-step relaxation Newton method for nonsymmetric algebraic Riccati equations arising from transport theory ⋮ Convergence acceleration for the reflection matrix in a nonmultiplying half-space ⋮ Upper and lower bounds for the solution of the general matrix Riccati differential equation on a time scale ⋮ Some accelerated iterative algorithms for solving nonsymmetric algebraic Riccati equations arising in transport theory

Cites Work

• Convergence of an iterative technique for algebraic Matrix Riccati equations and applications to transport theory
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