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 analogues 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, new operation over IMs with elements being functions, is defined, and some of its properties are discussed.

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

AMS Classification: 11C20

Link:

Index matrices with function-type of elements. Part 2

Krassimir T. Atanassov

http://www.foibg.com/ijima/vol04/ijima04-02-p02.pdf