Title :
A Memory Gradient Algorithm for Nonlinear Equations
Author :
Zhang, Zhi-Guang
Author_Institution :
Dept. of Math., Dezhou Univ., Dezhou, China
Abstract :
A new memory gradient method for nonlinear equations is proposed. The method is an iterative method, it makes use of the current and previous iterations information to generate a new iteration. This makes the method more stable and more practical. The global convergence of the algorithm is on proved in the paper. Numerical experiments show the algorithm is efficient in many situations.
Keywords :
convergence of numerical methods; gradient methods; iterative methods; nonlinear equations; global convergence; iterative method; memory gradient algorithm; nonlinear equations; Convergence; Gradient methods; Hydrogen; Iterative algorithms; Iterative methods; Jacobian matrices; Large-scale systems; Mathematics; Newton method; Nonlinear equations;
Conference_Titel :
Information Engineering and Computer Science, 2009. ICIECS 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4994-1
DOI :
10.1109/ICIECS.2009.5365153