Search
Close this search box.

Contents

Journal of Combinatorial Mathematics and Combinatorial Computing

  • Research article

Existence of Balanced Arrays and the Positive Semi-definiteness of the Moment Matrix

D.V. Chopra1, Richard M. Low2, R. Dios3
1Department of Mathematics and Statistics Wichita State University Wichita, KS 67260-0033, USA
2Department of Mathematics, San Jose State University San Jose, CA 95192, USA
3Department of Mathematical Sciences New Jersey Institute of Technology Newark, NJ 07102-1982, USA
  • Published: 31/08/2012

Abstract

In this paper, we obtain a new set of conditions which are necessary for the existence of balanced arrays of strength eight with two levels by making use of the positive semi-definiteness of the matrix of moments. We also demonstrate, using illustrative examples, that the maximum number of constraints derived using these results are better than those obtained earlier.

Information
Guidelines
CP Initiatives
Follow CP
Facebook Twitter Linkedin
1970-2024 CP (Manitoba, Canada) unless otherwise stated.
Citation
D.V. Chopra, Richard M. Low, R. Dios. Existence of Balanced Arrays and the Positive Semi-definiteness of the Moment Matrix[J], Journal of Combinatorial Mathematics and Combinatorial Computing, Volume 082. 77-85. DOI: .