Open AccessA New Modified TR Algorithm with Adaptive Radius to Solve a Nonlinear Systems of Equations
Author(s) -
Hasan H. Dwail,
Mohammed Maad Mahdi,
H. A. Wasi,
Karrar Habeeb Hashim,
Nabiha Kahtan Dreeb,
Hussein A. Hussein,
Mushtak A. K. Shiker
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1804/1/012108
Subject(s) - robustness (evolution) , nonlinear system , convergence (economics) , radius , radius of convergence , algorithm , mathematics , computer science , mathematical optimization , mathematical analysis , physics , computer security , biochemistry , chemistry , quantum mechanics , economics , gene , economic growth , power series
The trust region method (TRM) is a very important technique to solve both of linear and nonlinear systems of equations. In this work, a new modified algorithm of a TRM with adaptive radius is introduced in purpose of solving systems of nonlinear equations. At each iteration, the new algorithm changes the trust region radius (TRR) automatically to reduce the subproblems resolving number when the current radius is rejected. The global convergence results of the new procedure under some appropriate conditions is established. The numerical effects indicate that the suggested algorithm is interesting and robustness.