Parallel newtonian optimization without hessian approximation

Author

Abbu, Khalil K.

Source

al- Rafidain Journal of Computer Sciences and Mathematics

Issue

Vol. 3, Issue 2 (31 Dec. 2006), pp.69-82, 14 p.

Publisher

University of Mosul College of Computer Science and Mathematics

Publication Date

2006-12-31

Country of Publication

Iraq

No. of Pages

14

Main Subjects

Mathematics

Topics

Abstract AR

الغرض من هذا البحث هو اقتراح خوارزمية تعتمد على طريقة التوازي تستند إلى طريقة نيوتن لحل مسائل الأمثلية اللاخطية باستخدام حاسبات متوازية من النوع (MIMD) و ذلك بحل نظام معادلات خطية بطريقة الحذف لكاوس بشكل متواز بدلا من إيجاد معكوس مصفوفة هيسيان لكي نتجنب الخطأ الناتج من حساب معكوس المصفوفة و لتزيد من قوة العمليات الحسابية و كذلك لتقليل الزمن اللازم لحل المسألة.

Abstract EN

The purpose of this paper is to introduce parallel algorithms based on the Newton method for solving non-linear unconstrained optimization problem in (MIMD) parallel computers by solving linear system in parallel using Gaussian Elimination method rather than finding inverse Hessian matrix to avoid the errors caused by evaluating the inverse matrix and also to increase computing power and reduce run time.

American Psychological Association (APA)

Abbu, Khalil K.. 2006. Parallel newtonian optimization without hessian approximation. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 3, no. 2, pp.69-82.
https://search.emarefa.net/detail/BIM-348870

Modern Language Association (MLA)

Abbu, Khalil K.. Parallel newtonian optimization without hessian approximation. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 3, no. 2 (2006), pp.69-82.
https://search.emarefa.net/detail/BIM-348870

American Medical Association (AMA)

Abbu, Khalil K.. Parallel newtonian optimization without hessian approximation. al- Rafidain Journal of Computer Sciences and Mathematics. 2006. Vol. 3, no. 2, pp.69-82.
https://search.emarefa.net/detail/BIM-348870

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 82

Record ID

BIM-348870