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Paper
Title

Two Estimations of the united solution set to the Interval Unilateral Quadratic Matrix Equations

سومین کنفرانس بین المللی رویکردهای نوین در علوم ،مهندسی و تکنولوژی
Year: 1394
COI: NSOECE03_110
Language: EnglishView: 469
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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,

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:

Paper COI Code

This Paper COI Code is NSOECE03_110. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/449371/

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Haqiri, Tayyebe and Mohseni Moghadam, Mahmoud and Poloni, Federic and Rivaz, Azim,1394,Two Estimations of the united solution set to the Interval Unilateral Quadratic Matrix Equations,Third International Conference on New Approaches in Science, Engineering and Technology,https://civilica.com/doc/449371

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