Numerical Approximation of Bounds of µ-Values for a Family of Pascal Matrices

Authors

Mutti-Ur Rehman, Department of Mathematics, Sukkur IBA University, Sukkur 65200, PakistanFollow
Zobia Arif, Department of Mathematics, The University of Lahore, Gujrat campus, Gujrat 50700, PakistanFollow

Author Country (or Countries)

Pakistan

Abstract

In this article, we present numerical approximations to lower bounds of Structured Singular Values (SSV) for a family of Pascal matrices. In mathematics, particularly in matrix theory, Pascal matrix is an infinite matrix containing the binomial coefficients as its elements. The obtained lower bounds of SSV are then compared with the well-known MATLAB routine mussv available in MATLAB Control Toolbox.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/130215

Recommended Citation

Rehman, Mutti-Ur and Arif, Zobia (2019) "Numerical Approximation of Bounds of µ-Values for a Family of Pascal Matrices," Applied Mathematics & Information Sciences: Vol. 13: Iss. 2, Article 15.
DOI: http://dx.doi.org/10.18576/amis/130215
Available at: https://digitalcommons.aaru.edu.jo/amis/vol13/iss2/15