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STRUCTURED SINGULAR VALUES OF SOME GENERALISED STOCHASTIC MATRICES

Published online by Cambridge University Press:  09 July 2021

KIJTI RODTES*
Affiliation:
Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
MUTTI UR REHMAN ABBASI
Affiliation:
Department of Mathematics, Sukkur IBA University, 65200 Sukkur, Pakistan and Department of Chemical Engineering, MIT, Cambridge, MA 02139, USA e-mail: [email protected], [email protected]

Abstract

We investigate a class of generalised stochastic complex matrices constructed from the class of all doubly stochastic matrices and a special class of circulant matrices. We determine the exact values of the structured singular values of all matrices in the class in terms of the constant row (column) sum.

Type
Research Article
Copyright
© 2021 Australian Mathematical Publishing Association Inc.

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