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Permanental Mates: Perturbations and Hwang’s conjecture

Publication Type : Journal Article

Publisher : Applied Mathematics Letters

Source : Applied Mathematics Letters, Volume 21, Number 8, p.786-790 (2008)

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Campus : Coimbatore

School : School of Engineering

Department : Mathematics

Year : 2008

Abstract : Let Ωn denote the set of all n × n doubly stochastic matrices. Two unequal matrices A and B in Ωn are called permanental mates if the permanent function is constant on the line segment t A + (1 - t) B, 0 ≤ t ≤ 1, connecting A and B. We study the perturbation matrix A + E of a symmetric matrix A in Ωn as a permanental mate of A. Also we show an example to disprove Hwang's conjecture, which states that, for n ≥ 4, any matrix in the interior of Ωn has no permanental mate. © 2007 Elsevier Ltd. All rights reserved.

Cite this Research Publication : SaMaria Arulraj and Dr. Somasundaram K., “Permanental Mates: Perturbations and Hwang's conjecture”, Applied Mathematics Letters, vol. 21, pp. 786-790, 2008.

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