A new algorithm for solving all the real roots of a nonlinear system of equations in a given feasible region

被引：1

作者：

Moreno, J. ^{[1
]}

Lopez, Miguel A. ^{[2
]}

Martinez, R. ^{[2
]}

机构：

[1] Univ P Valencia, ETSIE, Dept Appl Math, Camino Vera 14, Valencia 46022, Spain

[2] Univ Castilla La Mancha, Dept Math, Campus Cuenca, Cuenca 16071, Spain

来源：

NUMERICAL ALGORITHMS | 2019年 / 82卷 / 01期

关键词：

Nonlinear systems; Zeros; Algorithms; QUASI-NEWTON METHODS;

D O I：

10.1007/s11075-018-0596-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initiation of iterations and the encounters of all of its solutions are two of the main problems that are derived from iterative methods. These are produced within feasible regions where the problem lies. This paper provides an algorithm to solve both for the general case of nonlinear systems of p unknowns and q equations. Furthermore, some examples of this algorithm implementation are also introduced.

引用

页码：123 / 154

页数：32

共 50 条

[1] A new algorithm for solving all the real roots of a nonlinear system of equations in a given feasible region
J. Moreno
Miguel A. López
R. Martínez
Numerical Algorithms, 2019, 82 : 123 - 154
[2] New Algorithm for Solving Nonlinear Equations Roots
Guo, Delong
Zhou, Yongquan
Luo, Xiaobin
INTELLIGENT COMPUTING THEORIES, 2013, 7995 : 71 - 76
[3] New evolutionary algorithm for solving nonlinear system of equations
Liu, C.-A. (liu2006@126.com), 1600, Binary Information Press, Flat F 8th Floor, Block 3, Tanner Garden, 18 Tanner Road, Hong Kong (10):
[4] A NEW PROJECTION ALGORITHM FOR SOLVING A SYSTEM OF NONLINEAR EQUATIONS WITH CONVEX CONSTRAINTS
Zheng, Lian
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (03) : 823 - 832
[5] Global existence of real roots and random Newton flow algorithm for nonlinear system of equations
Chen ChuanMiao
Hu HongLing
SCIENCE CHINA-MATHEMATICS, 2017, 60 (07) : 1341 - 1352
[6] Global existence of real roots and random Newton flow algorithm for nonlinear system of equations
ChuanMiao Chen
HongLing Hu
Science China Mathematics, 2017, 60 : 1341 - 1352
[7] REAL ROOTS OF NONLINEAR SYSTEMS OF EQUATIONS THROUGH A METAHEURISTIC ALGORITHM
Amaya, Ivan
Cruz, Jorge
Correa, Rodrigo
DYNA-COLOMBIA, 2011, 78 (170): : 15 - 23
[8] A New Algorithm for Finding the Roots of Nonlinear Algebraic Equations
Alrazzo, Ahmad Yousef
Ide, Nasr Al Din
Assaad, Mohammad
BAGHDAD SCIENCE JOURNAL, 2025, 22 (01)
[9] The method of determining all real nonmultiple roots of systems of nonlinear equations
Semenov V.Yu.
Computational Mathematics and Mathematical Physics, 2007, 47 (9) : 1428 - 1434
[10] Iterative Algorithm for Solving a System of Nonlinear Matrix Equations
Al-Dubiban, Asmaa M.
JOURNAL OF APPLIED MATHEMATICS, 2012,

← 1 2 3 4 5 →