Introduction to Bimatrices
by W. B. V. Kandasamy, F. Smarandache, K. Ilanthenral
Publisher: arXiv 2005
Number of pages: 181
This book introduces the concept of bimatrices, and studies several notions like bieigen values, bieigen vectors, characteristic bipolynomials, bitransformations, bioperators and bidiagonalization. Further, we introduce and explore the concepts like fuzzy bimatrices, neutrosophic bimatrices and fuzzy neutrosophic bimatrices, which will find its application in fuzzy and neutrosophic logic.
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by Autar K Kaw - University of South Florida
This book is written primarily for students who are at freshman level or do not take a full course in Linear/Matrix Algebra, or wanting a contemporary and applied approach to Matrix Algebra. Eight chapters of the book are available for free.
by W. B. Vasantha Kandasamy, Florentin Smarandache - arXiv
The authors introduce a new type of product on matrices called the natural product Xn - an extension of product in the case or row matrices of the same order. When two matrices of same order can be added, nothing prevents one from multiplying them.
by Andrew Stuart, Jochen Voss - CaltechAUTHORS
An introduction to matrix analysis, and to the basic algorithms of numerical linear algebra. Contents: Vector and Matrix Analysis; Matrix Factorisations; Stability and Conditioning; Complexity of Algorithms; Systems of Linear Equations; etc.
by Alun Wyn-jones
The goal of this book is to describe circulants in an algebraic context. It oscillates between the point of view of circulants as a commutative algebra, and the concrete point of view of circulants as matrices with emphasis on their determinants.