by Alun Wyn-jones
Number of pages: 149
The primary goal of this book is to describe circulants in an algebraic context. Much of the book is concerned with old problems, especially those parts dealing with the circulant determinant. Consequently, the book 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.
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by Kaare Brandt Petersen, Michael Syskind Pedersen
The Matrix Cookbook is a free desktop reference on matrix identities, inequalities, approximations and relations useful for different fields such as machine learning, statistics, quantum mechanics, engeneering, chemistry.
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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.
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A concise overview of matrix algebra's many applications, discussing topics such as reviews of matrices, arrays, and determinants; the characteristic equation; associated integral matrices; equivalence, congruence, and similarity; etc.
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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.