by Steven J Cox
Publisher: Rice University 2012
Number of pages: 98
Under the influence of Bellman and Kalman engineers and scientists have found in matrix theory a language for representing and analyzing multivariable systems. Our goal in these notes is to demonstrate the role of matrices in the modeling of physical systems and the power of matrix theory in the analysis and synthesis of such systems.
Home page url
Download or read it online for free here:
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 Shmuel Friedland - University of Illinois at Chicago
From the table of contents: Domains, Modules and Matrices; Canonical Forms for Similarity; Functions of Matrices and Analytic Similarity; Inner product spaces; Elements of Multilinear Algebra; Nonnegative matrices; Convexity.
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.
by W. B. V. Kandasamy, F. Smarandache, K. Ilanthenral - arXiv
This book introduces the concept of bimatrices, and studies several notions like bieigen values, bieigen vectors, characteristic bipolynomials, bitransformations, bioperators and bidiagonalization. The concepts of fuzzy bimatrices is introduced.