ON NEWTON'S METHOD FOR SOLVING A SYSTEM OF NONLINEAR MATRIX EQUATIONS

DOI10.7858/eamj.2019.030zbMath1434.65045OpenAlexW2996863964MaRDI QIDQ5205254

Taehyeong Kim, Hyun-Min Kim, Sang-Hyup Seo

Publication date: 10 December 2019

Full work available at URL: https://www.kci.go.kr/kciportal/ci/sereArticleSearch/ciSereArtiView.kci?sereArticleSearchBean.artiId=ART002471567

zbMATH Keywords

Newton's methodmatrix equationminimal positive solution

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Matrix equations and identities (15A24) Numerical methods for matrix equations (65F45)

Uses Software

• SQUINT

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The cyclic reduction algorithm: From Poisson equation to stochastic processes and beyond. In memoriam of Gene H. Golub
• Condition numbers and backward error of a matrix polynomial equation arising in stochastic models
• Light tail asymptotics in multidimensional reflecting processes for queueing networks
• Two kinds of condition numbers for the quadratic matrix equation
• Solving a Quadratic Matrix Equation by Newton's Method with Exact Line Searches
• CONVERGENCE OF NEWTON'S METHOD FOR SOLVING A CLASS OF QUADRATIC MATRIX EQUATIONS
• Algorithm 598
• Networks of Waiting Lines
• Iterative Solution of a Nonsymmetric Algebraic Riccati Equation