An Inexact Halley's Method

YAN Gui-feng, TIAN Xiang. An Inexact Halley's MethodJ. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2005, 14(3): 340-343.

Citation:

YAN Gui-feng, TIAN Xiang. An Inexact Halley's MethodJ. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2005, 14(3): 340-343.

Citation:

YAN Gui-feng, TIAN Xiang. An Inexact Halley's MethodJ. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2005, 14(3): 340-343.

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.

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