Toeplitz and Circulant Matrices: A review
by Robert M. Gray
Publisher: Now Publishers Inc 2006
Number of pages: 104
The book derives in a tutorial manner the fundamental theorems on the asymptotic behavior of eigenvalues, inverses, and products of banded Toeplitz matrices and Toeplitz matrices with absolutely summable elements. Mathematical elegance and generality are sacrificed for conceptual simplicity and insight in the hope of making these results available to engineers lacking either the background or endurance to attack the mathematical literature on the subject.
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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 Steven J Cox - Rice University
Matrix theory is a language for representing and analyzing multivariable systems. These notes will 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.
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.
by Leif Mejlbro - BookBoon
The book is a collection of solved problems in linear algebra, this third volume covers the eigenvalue problem and Euclidean vector space. All examples are solved, and the solutions usually consist of step-by-step instructions.