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

Journal Article


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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)×(n−4) are derived introducing an eigenvalue approach. A general theorem specifying the analytical form of any (n − l) × (n − l) minor is developed. An application to the growth problem for weighing matrices is given.

UOW Authors


  •   Karapiperi, Anna (external author)
  •   Mitrouli, Marilena (external author)
  •   Neubauer, Michael G. (external author)
  •   Seberry, Jennifer

Publication Date


  • 2012

Citation


  • 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.

Scopus Eid


  • 2-s2.0-84857118763

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=9344&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/2009

Has Global Citation Frequency


Number Of Pages


  • 12

Start Page


  • 2054

End Page


  • 2066

Volume


  • 436

Issue


  • 7

Place Of Publication


  • United States

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)×(n−4) are derived introducing an eigenvalue approach. A general theorem specifying the analytical form of any (n − l) × (n − l) minor is developed. An application to the growth problem for weighing matrices is given.

UOW Authors


  •   Karapiperi, Anna (external author)
  •   Mitrouli, Marilena (external author)
  •   Neubauer, Michael G. (external author)
  •   Seberry, Jennifer

Publication Date


  • 2012

Citation


  • 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.

Scopus Eid


  • 2-s2.0-84857118763

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=9344&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/2009

Has Global Citation Frequency


Number Of Pages


  • 12

Start Page


  • 2054

End Page


  • 2066

Volume


  • 436

Issue


  • 7

Place Of Publication


  • United States