Soft Computing

, Volume 22, Issue 9, pp 2881–2890 | Cite as

An estimation of algebraic solution for a complex interval linear system

Methodologies and Application
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Abstract

In this paper, we introduce an algorithm for presentation of an inner estimation of the solution set of a complex interval linear system, where the coefficient matrix is a crisp complex-valued matrix and the right-hand-side vector is an interval complex-valued vector. Also, we show that under some certain conditions, the obtained inner estimation is, in fact, an algebraic solution.

Keywords

Complex interval number Complex interval linear system Complex limiting factor Solution set Algebraic solution 

Notes

Acknowledgements

The author would like to thank referees for their helpful comments.

Compliance with ethical standards

Conflict of interest

The author declares that there is no conflict of interests regarding the publication of this paper.

Ethical approval

This article does not contain any studies with human participants or animals performed by the author.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of Mathematics, Aliabad Katoul BranchIslamic Azad UniversityAliabad KatoulIran

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