On the margin stability of interval matrices.

الموضوعات

علوم بحتة وطبيعية

الملخص

In the first part of this thesis, some necessary and sufficient conditions for h-stability of a class of interval matrices are developed. It is proved that the problem of determining the h-stability of an interval matrix is related to that of existence and positiveness of the inverse of a point matrix constructed from the given interval matrix. In the second part some results on positive definiteness and stability of interval matrices are extended to h-positive definiteness and h-stability. In the third part some verifiable necessary and sufficient conditions for regularity of interval matrices are established. Based on these conditions an algorithm for determining the regularity of interval matrices is developed which lead to several algorithms for checking the stability and positive definiteness of interval matrices.

روابط وملفات

التعريف والنوع

رقم الوثيقة

06b1e23b-92de-417d-b60a-5fdb5b1c9d1a

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

943242_1.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":" M.B.M. Elgindi","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"Muhammad Yousuf","title_ar":"اعداد","title_en":"Preparation"}]

اللغة

English

المصدر والدورية

اسم المصدر

On the margin stability of interval matrices.

المحتوى والصفحات

عدد الصفحات

0

إشراف وإعداد

الإشراف

M.B.M. Elgindi

الإعداد

Muhammad Yousuf

الاقتباسات الببليوغرافية