Abstract: Index Matrices (IMs) are extensions of the ordinary matrices. Some of the operations and relations defined over IMs are analogous of the standard ones, while there have been defined new ones, as well. Operators that do not have analogue in matrix theory have been defined, as well. In general, the elements of an IM can be real or complex numbers, as well as propositions or predicates. In the present paper, IMs with their elements being functions, are defined and some of their properties are discussed.

Keywords: Function, Index matrix, Operation, Operator, Relation.

Link:

INDEX MATRICES WITH FUNCTION-TYPE OF ELEMENTS

Krassimir Atanassov

http://www.foibg.com/ijima/vol03/ijima03-02-p01.pdf