An eigenvalue approach to evaluating minors for weighing matrices W(n,n-1)

Authors

Anna Karapiperi, University of AthensFollow
Marilena Mitrouli, University of Athens
Michael G. Neubauer, California State University NorthridgeFollow
Jennifer Seberry, University of WollongongFollow

RIS ID

52330

Publication Details

Karapiperi, A., Mitrouli, M., Neubauer, M. G. & Seberry, J. (2012). An eigenvalue approach to evaluating minors for weighing matrices W(n,n-1). Linear Algebra and its Applications, 436 (7), 2054-2066.

Abstract

In the present paper we concentrate our study on the evaluation of minors for weighing matrices W(n,n-1). Theoretical proofs concerning their minors up to the order of (n-4) x (n-4) are derived introducing an eigenvalue approach. A general theorem specifying the analytical form of any (n-l) x (n-l) minor is developed. An application to the growth problem for weighing matrices is given.