Superbimatrices and their generalizations
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Publication:3185637
zbMATH Open1184.15015arXiv0906.5143MaRDI QIDQ3185637
Florentin Smarandache, W. B. Vasantha Kandasamy
Publication date: 27 October 2009
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
Full work available at URL: https://arxiv.org/abs/0906.5143
Algebraic systems of matrices (15A30) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02)
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