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An Inexact Halley's Method
作者姓名:闫桂峰  田祥
作者单位:School of Science,Beijing Institute of Technology,Beijing 100081,China,School of Science,Beijing Institute of Technology,Beijing 100081,China
基金项目:theBasicResearchFoundationofBeijingInstituteofTechnology(200307A21)
摘    要:An inexact Halley's method—Halley-PCG(preconditioned conjugate gradient) method is proposed for solving the systems of linear equations for improved Halley method either by Cholesky factorization exactly or by preconditioned conjugate gradient method approximately. The convergence result is given and the efficiency of the method compared to the improved Halley's method is shown.

收稿时间:2004/2/16 0:00:00

An Inexact Halley's Method
YAN Gui-feng and TIAN Xiang.An Inexact Halley''''s Method[J].Journal of Beijing Institute of Technology,2005,14(3):340-343.
Authors:YAN Gui-feng and TIAN Xiang
Affiliation:School of Science, Beijing Institute of Technology, Beijing 100081, China;School of Science, Beijing Institute of Technology, Beijing 100081, China
Abstract:An inexact Halley's method-Halley-PCG(preconditioned conjugate gradient) method is proposed for solving the systems of linear equations for improved Halley method either by Cholesky factorization exactly or by preconditioned conjugate gradient method approximately. The convergence result is given and the efficiency of the method compared to the improved Halley's method is shown.
Keywords:unconstrained optimization problems  improved Halley's method  preconditioned conjugate gradient method
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