Global existence of real roots and random Newton flow algorithm for nonlinear system of equations
From MaRDI portal
Publication:1700712
DOI10.1007/s11425-015-0492-2zbMath1383.65046OpenAlexW2564758133MaRDI QIDQ1700712
Publication date: 21 February 2018
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-015-0492-2
system of nonlinear equationsnumerical experimentsreal rootsglobal existence and uniquenesscontinuous Newton flowrandom Newton flow algorithm
Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Proof of a conjecture on a discretized elliptic equation with cubic nonlinearity
- Global analysis of continuous analogues of the Levenberg-Marquardt and Newton-Raphson methods for solving nonlinear equations
- A convergent process of price adjustment and global Newton methods
- A geometric method in nonlinear programming
- An extended continuous Newton method
- Mathematical problems for the next century
- Historical developments in convergence analysis for Newton's and Newton-like methods
- The theory of Newton's method
- Quadratic Newton iteration for systems with multiplicity
- Analysis of search-extension method for finding multiple solutions of nonlinear problem
- Thomas Simpson and ‘Newton's method of approximation’: an enduring myth
- Introduction to Numerical Continuation Methods
- Qualitative Analysis of Newton Flow
- Historical Development of the Newton–Raphson Method
- The Continuous Newton--Raphson Method Can Look Ahead
- Continuous Newton's method for polynomials.
This page was built for publication: Global existence of real roots and random Newton flow algorithm for nonlinear system of equations
