Perturbation analysis of the extinction probability of a Markovian binary tree

DOI10.1016/j.laa.2015.02.006zbMath1312.65082OpenAlexW2963563574MaRDI QIDQ2347342

Pei-Chang Guo, Jiang Qian, Shu-fang Xu, Yun-Feng Cai

Publication date: 27 May 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2015.02.006

zbMATH Keywords

perturbation analysisminimal nonnegative solutionMarkovian binary treequadratic vector equation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Conditioning of matrices (15A12)

Cites Work

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• Algorithmic approach to the extinction probability of branching processes
• Newton's iteration for the extinction probability of a Markovian binary tree
• Markovian trees: Properties and algorithms
• On the link between Markovian trees and tree-structured Markov chains
• Quadratic vector equations
• A Perron Iteration for the Solution of a Quadratic Vector Equation Arising in Markovian Binary Trees
• On the solution of a quadratic vector equation arising in Markovian Binary Trees
• Branching Processes
• A Theory of Condition
• Branching processes in biology

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