Two Estimations of the united solution set to the Interval Unilateral Quadratic Matrix Equations
Publish place: Third International Conference on New Approaches in Science, Engineering and Technology
Publish Year: 1394
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
NSOECE03_110
تاریخ نمایه سازی: 28 اسفند 1394
Abstract:
Introducing the interval unilateral quadratic matrix equation, A.X^2+B.X+C=0, we describe some analytical results on its AE-solution sets in which A, B and C are known real interval matrices, while X is the unknown matrix. Then, one sufficient condition for solvability (non emptiness of the united solution set) of the united solution set is given. Two direct methods for estimation of the united solution set of this interval unilateral quadratic matrix equation are proposed. Suggested techniques are based on sensitivity analysis as well as nonlinear programming. Finally, these methods are tested on a number of numerical examples and their results are compared to each other.
Keywords:
Interval unilateral quadratic matrix equation , interval arithmetic , united solution set , nonlinear programming , sensitivity analysis
Authors
Tayyebe Haqiri
Ph.D. Student, Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Mahmoud Mohseni Moghadam
Professor in Applied Mathematics, Mathematics Department, Islamic Azad University, Kerman Branch, Kerman, Iran
Federic Poloni
Assistant Professor, Department of Computer Science, University of Pisa, Pisa, Italy
Azim Rivaz
Assistant Professor, Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran,
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