Highly accurate doubling algorithm for quadratic matrix equation from quasi-birth-and-death process-Reference-Cited by-同舟云学术

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Highly accurate doubling algorithm for quadratic matrix equation from quasi-birth-and-death process

Published:2019-12 Issue: Volume:583 Page:1-45
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Chen Cairong,Li Ren-Cang,Ma Changfeng

Funder

National Natural Science Foundation of China

National Science Foundation

Natural Science Foundation of Fujian Province

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference38 articles.

1. Introduction to Matrix Analytic Methods in Stochastic Modeling;Latouche,1999

2. Componentwise accurate fluid queue computations using doubling algorithms;Nguyen;Numer. Math.,2015

3. Highly accurate doubling algorithms for M-matrix algebraic Riccati equations;Xue;Numer. Math.,2017

4. Accurate solutions of M-matrix algebraic Riccati equations;Xue;Numer. Math.,2012

5. A logarithmic reduction algorithm for quasi-birth-death processes;Latouche;J. Appl. Probab.,1993

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Numerical Solution of a Matrix Integral Equation Arising in Markov-Modulated Lévy Processes;SIAM Journal on Scientific Computing;2022-08

2. Highly Accurate Latouche-Ramaswami Logarithmic Reduction Algorithm for Quasi-Birth-and-Death Process;Journal of Mathematical Study;2022-06

3. A structure-preserving doubling algorithm for solving a class of quadratic matrix equation with $ M $-matrix;Electronic Research Archive;2022

4. Double iterative algorithm for solving different constrained solutions of multivariate quadratic matrix equations;AIMS Mathematics;2022

5. On nonlinear matrix equations from the first standard form;ANN MATH SCI APPL;2022

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