## e-books in Linear Algebra: Matrices category

**Random Matrix Theory, Interacting Particle Systems and Integrable Systems**

by

**Percy Deift, Peter Forrester (eds)**-

**Cambridge University Press**,

**2014**

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.

(

**2828**views)

**Matrix Analysis and Algorithms**

by

**Andrew Stuart, Jochen Voss**-

**CaltechAUTHORS**,

**2009**

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.

(

**3131**views)

**Matrix 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.

(

**7425**views)

**Natural 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.

(

**7379**views)

**Matrices**

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.

(

**10515**views)

**The 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.

(

**10439**views)

**Introduction 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.

(

**9745**views)

**Determinants and Matrices**

by

**R. KochendÃ¶rfer**-

**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.

(

**11505**views)

**Linear 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.

(

**10729**views)

**Circulants**

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.

(

**11344**views)

**Introduction 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.

(

**15758**views)

**Toeplitz 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.

(

**12349**views)

**The 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.

(

**15185**views)