On the cardinality of complex matrix scalings

Author:

Hutchinson George

Abstract

AbstractWe disprove a conjecture made by Rajesh Pereira and Joanna Boneng regarding the upper bound on the number of doubly quasi-stochastic scalings of an n × n positive definite matrix. In doing so, we arrive at the true upper bound for 3 × 3 real matrices, and demonstrate that there is no such bound when n ≥ 4.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Reference6 articles.

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5. Scaling symmetric positive definite matrices to prescribed row sums pages;Leary;Linear Algebra Appl,2003

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Scaling positive definite matrices to achieve prescribed eigenpairs;Operators and Matrices;2023

2. On complex matrix scalings of extremal permanent;Linear Algebra and its Applications;2017-06

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