A New Theoretical Result for Quasi-Newton Formulae for Unconstrained Optimization

Section: Research Paper
Issue
Vol. 2 No. 2 (2005): Volume 2 Issue 2
Pages
41-46

Keywords:

Quasi-Newton method, Some theoretical result for quasi-Newton formulae

Abstract

The recent measure function of Byrd and Nocedal [3] is considered and simple proofs of some its properties are given. It is then shown that the AL-Bayati (1991) formulae satisfy a least change property with respect to this new measure .The new formula has any extended positive definite matrix of Brouden Type-Updates.

References

Author

Basim A. Hassan

College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq

Identifiers

DOI: 10.33899/csmj.2005.164082

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A New Theoretical Result for Quasi-Newton Formulae for Unconstrained Optimization. (2005). AL-Rafidain Journal of Computer Sciences and Mathematics, 2(2), 41-46. https://doi.org/10.33899/csmj.2005.164082
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How to Cite

A New Theoretical Result for Quasi-Newton Formulae for Unconstrained Optimization. (2005). AL-Rafidain Journal of Computer Sciences and Mathematics, 2(2), 41-46. https://doi.org/10.33899/csmj.2005.164082