Determinant and Inverse of Meet and Join Matrices
Altinisik, Ercan; Tuglu, Naim; Haukkanen, Pentti (2007)
International Journal of Mathematics and Mathematical Sciences 2007
This publication is copyrighted. You may download, display and print it for Your own personal use. Commercial use is prohibited.
Julkaisun pysyvä osoite on
Hindawi Open access
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 (xi ∧ yi)) and [X,Y] f = ( f (xi ∨ yi)), 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 .
- Artikkelit