作者: Changbum Chun , YoonMee Ham
DOI: 10.1002/CNM.832
关键词: Newton's method 、 Preconditioner 、 Calculus 、 Modified Richardson iteration 、 Arnoldi iteration 、 Rayleigh quotient iteration 、 Fixed-point iteration 、 Applied mathematics 、 Mathematics 、 Symbolic computation 、 Power iteration
摘要: In this paper, Newton-like iteration methods for solving non-linear equations or improving the existing are proposed. The formulae obtained by applying homotopy perturbation method which contains well-known Newton formula in logic, so those method. orders of convergence some derived analytically and symbolic computation Maple. Some numerical illustrations given. Copyright © 2005 John Wiley & Sons, Ltd.