An efficient computational method for bounds of eigenvalues of an interval system using a convex hull algorithm

Author

Husayn, Muhammad Tawfiq

Source

The Arabian Journal for Science and Engineering. Section B, Engineering

Issue

Vol. 35, Issue 1B (30 Apr. 2010), pp.250-263, 14 p.

Publisher

King Fahd University of Petroleum and Minerals

Publication Date

2010-04-30

Country of Publication

Saudi Arabia

No. of Pages

14

Main Subjects

Electronic engineering

Topics

Abstract AR

تقدم هذه الورقة طريقة محوسبة و فعالة للحصول على تحديد الحدود لجذور المصفوفات ذات المتغيرات، و ذلك باستخدام خوارزميات سهلة ذات فعالية عالية. و قد استخدمت طريقة الغلاف المحدب لإيجاد أصغر مضلع محدب يحتوي على جميع النقاط الوصفية لمتعدد الحدود.

و تم أخيرا اختبار الخوارزميات المقترحة من خلال تطبيقاتها على عدة أنظمة متغيرة العناصر، و كذلك اختبارها من خلال نظام كهربائي متكامل، و من ثم التأكد من كفاءة الطريقة المقترحة.

Abstract EN

-This paper presents an efficient computational method for generating a plot for the bounds of eigenvalues of the entire family of interval matrices through a simple and efficient algorithm.

The convex-hull technique is utilized and incorporated to find the smallest convex polygon containing all characteristic polynomial points.

Finally, the algorithm is examined through several uncertain systems and a complete electrical application is presented to validate the proposed method.

American Psychological Association (APA)

Husayn, Muhammad Tawfiq. 2010. An efficient computational method for bounds of eigenvalues of an interval system using a convex hull algorithm. The Arabian Journal for Science and Engineering. Section B, Engineering،Vol. 35, no. 1B, pp.250-263.
https://search.emarefa.net/detail/BIM-308497

Modern Language Association (MLA)

Husayn, Muhammad Tawfiq. An efficient computational method for bounds of eigenvalues of an interval system using a convex hull algorithm. The Arabian Journal for Science and Engineering. Section B, Engineering Vol. 35, no. 1B (Apr. 2010), pp.250-263.
https://search.emarefa.net/detail/BIM-308497

American Medical Association (AMA)

Husayn, Muhammad Tawfiq. An efficient computational method for bounds of eigenvalues of an interval system using a convex hull algorithm. The Arabian Journal for Science and Engineering. Section B, Engineering. 2010. Vol. 35, no. 1B, pp.250-263.
https://search.emarefa.net/detail/BIM-308497

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 262-263

Record ID

BIM-308497