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Matrix AnalysisMatrix Analysis
by Steven J Cox - Rice University , 2012
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.
(3376 views)

Natural Product Xn on matricesNatural Product Xn on matrices
by W. B. Vasantha Kandasamy, Florentin Smarandache - arXiv , 2012
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.
(1930 views)

MatricesMatrices
by Shmuel Friedland - University of Illinois at Chicago , 2010
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.
(4169 views)

The Theory of MatricesThe Theory of Matrices
by C.C. MacDuffee - Chelsea , 1956
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.
(5402 views)

Introduction to BimatricesIntroduction to Bimatrices
by W. B. V. Kandasamy, F. Smarandache, K. Ilanthenral - arXiv , 2005
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.
(3064 views)

Determinants and MatricesDeterminants and Matrices
by R. Kochendörfer - Teubner , 1961
Basic methods and concepts are introduced. From the table of contents: Preliminaries; Determinants; Matrices; Vector spaces. Rank of a matrix; Linear Spaces; Hermitian/Quadratic forms; More about determinants and matrices; Similarity.
(7387 views)

Linear Algebra Examples C-3: The Eigenvalue Problem and Euclidean Vector SpaceLinear Algebra Examples C-3: The Eigenvalue Problem and Euclidean Vector Space
by Leif Mejlbro - BookBoon , 2009
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.
(5670 views)

CirculantsCirculants
by Alun Wyn-jones , 2008
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.
(6091 views)

Introduction to Matrix AlgebraIntroduction to Matrix Algebra
by Autar K Kaw - University of South Florida , 2002
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.
(10960 views)

Toeplitz and Circulant Matrices: A reviewToeplitz and Circulant Matrices: A review
by Robert M. Gray - Now Publishers Inc , 2006
The book derives the fundamental theorems on the asymptotic behavior of eigenvalues, inverses, and products of banded Toeplitz matrices and Toeplitz matrices with absolutely summable elements. Written for students and practicing engineers.
(4938 views)

The Matrix CookbookThe Matrix Cookbook
by Kaare Brandt Petersen, Michael Syskind Pedersen , 2008
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.
(10260 views)