Inverse eigenvalue problem of interval nonnegative matrices of order \le ۳

Publish Year: 1397
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JMMO-6-2_005

تاریخ نمایه سازی: 19 خرداد 1403

Abstract:

In this paper for a given set of real or complex interval numbers \sigma  satisfying  special conditions,  we find an interval nonnegative matrix  C such that for each point set \delta  of given interval spectrum \sigma, there exists a point matrix A of C such that   \delta is its spectrum. We also study some conditions for the  solution   existence of the problem.

Keywords:

Inverse eigenvalue problem of interval nonnegative matrices

Authors

Alimohammad Nazari

Department of Mathematics, Arak university, Arak, Iran

Maryam Zeinali

Department of Mathematics, Shahid Rajaee University, Lavizan, Tehran, Iran

Hamid Mesgarani

Department of Mathematics, Shahid Rajaee University, Lavizan, Tehran, Iran