Superbimatrices and their generalizations

TL;DR

This work introduces and generalizes superbimatrices, super trimatrices, and super n-matrices, highlighting their innovative structures and multiple product types, with potential applications in computer science.

Contribution

It presents new definitions and generalizations of superbimatrices and related structures, expanding the theoretical framework for matrix algebra.

Findings

Introduction of superbimatrices, super trimatrices, and super n-matrices

Definition of multiple product types for superbimatrices

Potential applications in computational contexts

Abstract

In this book, the authors introduce the new notion of superbimatrices and generalize it to supertrimatrices and super n-matrices. Study of these structures is not only interesting and innovative but is also best suited for the computerize world. The main difference between simple bimatrices and super bimatrices is that in case of simple bimatrices we have only one type of product defined on them, whereas in case of superbimatrices we have different types of products called minor and major defined using them. This book has four chapters. Chapter one describes the basic concepts to make this book a selfcontained one. Superbimatrices, semi superbimatrices, symmetric superbimatrices are introduced in chapter two. Chapter three introduces the notion of super trimatrices and the products defined using them. Chapter four gives the most generalized form of the superbimatrix, viz. super n-matrix