International Journal of Statistics and Applied Mathematics
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International Journal of Statistics and Applied Mathematics

2018, Vol. 3, Issue 2, Part D

A study of measuring the distance of a stable matrix to the unstable matrices


Author(s): Nitin Chouhan, Mohan Singh Dhaked, Hoshiyar Singh and Yogesh Khandelwal

Abstract: This paper determine the 2-norm and frobenius norm distance form a given matrix A to the nearest matrix, we explain a bisection method due to Byers, with an Eigen value on the imaginary axis. If A has an Eigen value plane, then, this distance measures how “nearly unstable” A is. Each bisection step provides a rigorous upper bound or lower bound on the distance. Here, we use Bayer’s Bisection method to estimate the distance to the nearest matrix with an Eigen value on the unit circle.

Pages: 285-288 | Views: 471 | Downloads: 40

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How to cite this article:
Nitin Chouhan, Mohan Singh Dhaked, Hoshiyar Singh, Yogesh Khandelwal. A study of measuring the distance of a stable matrix to the unstable matrices. Int J Stat Appl Math 2018;3(2):285-288.
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