Bounds for the Eigenvalues of Matrix Polynomials

الموضوعات

علوم بحتة وطبيعية

الملخص

Developing bounds for the eigenvalues of matrix polynomials is an interesting problem which has a lot of applications. In this thesis, several known bounds for the eigenvalues of matrix polynomials are presented. In addition, we derive new bounds for the eigenvalues of matrix polynomials with commuting coefficients. These bounds are based on norms, numerical radius, and spectral radius of the coefficient matrices. Various tools are used inthe derivations, such as Frobenius companion matrix, the numerical radius inequalities, and matrix norms. In general, it is not possible to compare the sharpness of these bounds analytically. Therefore, we compare our new bounds with each other and withother known bounds numerically through a set of examples.

روابط وملفات

التعريف والنوع

رقم الوثيقة

f516e418-2d0f-4907-8642-14bc2c2c88c5

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

851421_1.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":"Ali Zein","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"Mohammad Adam","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"Mohammed Abu Sammour","title_ar":"اعداد","title_en":"Preparation"}]

اللغة

English

المصدر والدورية

اسم المصدر

Bounds for the Eigenvalues of Matrix Polynomials

المحتوى والصفحات

عدد الصفحات

0

كلمات الباحثين

Matrixs Eigenvalues

إشراف وإعداد

الإشراف

Ali Zein, Mohammad Adam

الإعداد

Mohammed Abu Sammour

الاقتباسات الببليوغرافية