Computations for Minors of Weighing Matrices with Application to the Growth Problem

Christos D. Kravvaritis ()
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Christos D. Kravvaritis: University of Athens

A chapter in Applications of Nonlinear Analysis, 2018, pp 537-579 from Springer

Abstract: Abstract In this expository paper we survey some important results concerning the computations for minors of weighing matrices. The applicability to the growth problem for weighing matrices is highlighted. The history of the problem is presented, the importance of determinant calculations is stressed and the relevant open problems are discussed. Emphasis is laid on the contribution of determinant calculations to the study of the growth factor for weighing matrices after application of Gaussian Elimination with complete pivoting on them, which is an important scientific open problem in Numerical Analysis.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-89815-5_19

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DOI: 10.1007/978-3-319-89815-5_19

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