Quasi-newton algorithms generate identical points

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1972 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Programming, volume 2, pages 383-387 (issn: 0025-5610, eissn: 1436-4646,

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Authors: L. C. W. Dixon;

doi: 10.1007/bf01584554

Quasi-newton algorithms generate identical points

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Abstract

Four theorems are presented that indicate that the sequence of points generated by different members of Broyden's (1967) family are identical, if the linear search routine is accurate.

Keywords

Numerical mathematical programming methods

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