Determinant and Inverse of Meet and Join Matrices

Ercan Altinisik, Naim Tuglu and Pentti Haukkanen

International Journal of Mathematics and Mathematical Sciences, 2007, vol. 2007, 1-11

Abstract:

We define meet and join matrices on two subsets X and Y of a lattice ( P , ≼ ) with respect to a complex-valued function f on P by ( X , Y ) f = ( f ( x i ∧ y i ) ) and [ X , Y ] f = ( f ( x i ∨ y i ) ) , respectively. We present expressions for the determinant and the inverse of ( X , Y ) f and [ X , Y ] f , and as special cases we obtain several new and known formulas for the determinant and the inverse of the usual meet and join matrices ( S ) f and [ S ] f .

Date: 2007
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2007/037580.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2007/037580.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:037580

DOI: 10.1155/2007/37580

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().