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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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.
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Random matrix theory is at the intersection of linear algebra, probability theory and integrable systems, and has a wide range of applications. The book contains articles on random matrix theory such as integrability and free probability theory.
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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.
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