Offset-Assisted Factored Solution of Nonlinear Systems

Algorithms

José M. Ruiz-Oltra²  Catalina Gómez-Quiles¹  Antonio Gómez-Expósito²  Alicia Cordero²  Juan R. Torregrosa² 

[1] Department of Electrical Engineering, University of Seville, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain;

关键词: nonlinear systems;    factored solution method;    Newton’s method;   

DOI  :  10.3390/a9010002

来源: mdpi

【 摘 要 】

This paper presents an improvement to the recently-introduced factored method for the solution of nonlinear equations. The basic idea consists of transforming the original system by adding an offset to all unknowns. When searching for real solutions, a real offset prevents the intermediate values of unknowns from becoming complex. Reciprocally, when searching for complex solutions, a complex offset is advisable to allow the iterative process to quickly abandon the real domain. Several examples are used to illustrate the performance of the proposed algorithm, when compared to Newton’s method.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.