Condition Numbers of the Nonlinear Matrix Equation Xp-A⁎eXA=I

We explore the condition numbers of the nonlinear matrix equation Xp-A⁎eXA=I. Explicit expressions for the normwise, mixed, and componentwise condition numbers are derived. The upper bounds for the mixed and componentwise condition numbers are obtained. The numerical result favors the fact that our...

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Bibliographic Details
Main Authors: Chacha Stephen Chacha, Syed Muhammad Raza Shah Naqvi
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/3291867