On the solution of a quadratic vector equation arising in Markovian Binary Trees
type: Item
instance of: scholarly article
title: On the solution of a quadratic vector equation arising in Markovian Binary Trees
zbMATH Open document ID: 1265.65105
author: Dario A. Bini
author: B. Meini
author: Federico Poloni
published in: Numerical Linear Algebra with Applications
publication date: 2012-12-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/1011.1233
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 60J80
zbMATH DE Number: 6116823
zbMATH Keywords: Markovian binary tree
zbMATH Keywords: branching process
zbMATH Keywords: Newton's method
zbMATH Keywords: Perron's iteration
zbMATH Keywords: population dynamics
zbMATH Keywords: quadratic vector equation
zbMATH Keywords: minimal nonnegative solution
zbMATH Keywords: fixed-point iterations
zbMATH Keywords: survival probabilities
zbMATH Keywords: numerical experiments
describes a project that uses: ARPACK
MaRDI profile type: Publication
OpenAlex ID: W3125018971
arXiv ID: 1011.1233
cites work: A Perron Iteration for the Solution of a Quadratic Vector Equation Arising in Markovian Binary Trees
cites work: Markovian trees: Properties and algorithms
cites work: Algorithmic approach to the extinction probability of branching processes
cites work: Quadratic vector equations
cites work: Newton's iteration for the extinction probability of a Markovian binary tree
cites work: On the link between Markovian trees and tree-structured Markov chains
cites work: Iterative Solution of Nonlinear Equations in Several Variables
DOI: 10.1002/NLA.809
description: scientific article; zbMATH DE number 6116823