Abstract
Quasi-Gauss-Newton methods for nonlinear equations are investigated. A Quasi-Gauss-Newton method is proposed. In this method, the Jacobian is modified by a convex combination of Broyden's update and a weighted update. The convergence of the method described by Wang and Tewarson in [1] and the proposed method is proved. Computational evidence is given in support of the relative efficiency of the proposed method.
Original language | English |
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Pages (from-to) | 27-38 |
Number of pages | 12 |
Journal | Computers and Mathematics with Applications |
Volume | 29 |
Issue number | 8 |
DOIs | |
State | Published - Apr 1995 |
Bibliographical note
Funding Information:*Author to whom all correspondence should be addressed. tResearch supported by Korean Ministry of Education, BSRI-94-1430 and Ewha Women's University, 1994. tResearch supported by NSF Grant DMS921664 and NIH Grant DK1759314.