Monotone convergence of Newton-like iteration for a structured nonlinear eigen-problem

DOI10.1016/j.amc.2022.127532OpenAlexW4296269484MaRDI QIDQ2096262

Pei-Chang Guo, Yongqing Yang, Shi-Chen Gao

Publication date: 16 November 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2022.127532

zbMATH Keywords

eigen-problemNewton-like methodmonotone convergenceStieltjes matrix

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Basic linear algebra (15Axx) Nonlinear algebraic or transcendental equations (65Hxx)

Cites Work

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• Monotone convergence of Newton-like methods for \(M\)-matrix algebraic Riccati equations
• Global monotone convergence of Newton iteration for a nonlinear eigen-problem
• A positivity preserving iterative method for finding the ground states of saturable nonlinear Schrödinger equations
• A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible \(M\)-matrix
• A modified Newton method for solving non-symmetric algebraic Riccati equations arising in transport theory
• Convergence analysis of the Newton-Shamanskii method for a nonsymmetric algebraic Riccati equation
• Solving Nonlinear Equations with Newton's Method
• A new family of modified Ostrowski's methods with accelerated eighth order convergence

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