A Hyperbolic Rational Model for Unconstrained Non-Linear Optimization | Zendy

Nidhal Al-Assady | Zendy; Basim A. Hassan | Zendy

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A Hyperbolic Rational Model for Unconstrained Non-Linear Optimization

Author(s) -

Nidhal Al-Assady,

Basim A. Hassan

Publication year - 2006

Publication title -

maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/al-rafidain journal for computer sciences and mathematics

Language(s) - English

Resource type - Journals

eISSN - 2311-7990

pISSN - 1815-4816

DOI - 10.33899/csmj.2006.164047

Subject(s) - mathematics , conjugate gradient method , quadratic equation , scaling , invariant (physics) , convex function , regular polygon , convex optimization , minification , class (philosophy) , mathematical optimization , quadratic function , computer science , geometry , artificial intelligence , mathematical physics

College of Computer Sciences and Mathematics University of Mosul, Iraq Received on: 07/09/2003 Accepted on: 16/12/2003 ABSTRACT We consider a class of invariant Hyperbolic scaling of a strictly convex quadratic function, to extend the family of the conjugate gradient methods for solving unconstrained minimization problems. An algorithm is derived and evaluated numerically. The results indicate that, in general, the new algorithm is superior to the classical standard CG-algorithm.

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