A Class of Modified Broyden Algorithms

A Class of Modified Broyden Algorithms

Year:    1994

Author:    Ding-Guo Pu, Wei-Wen Tian

Journal of Computational Mathematics, Vol. 12 (1994), Iss. 4 : pp. 366–379

Abstract

In this paper we discuss the convergence of the modified Broyden algorithms. We prove that the algorithms are globally convergent for the continuous differentiable function and the rate of convergence of the algorithms is one-step superlinear and n-step second-order for the uniformly convex objective function. From the discussion of this paper, we may get some convergence properties of the Broyden algorithms.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1994-JCM-10219

Journal of Computational Mathematics, Vol. 12 (1994), Iss. 4 : pp. 366–379

Published online:    1994-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:   

Author Details

Ding-Guo Pu

Wei-Wen Tian