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#### Factorization of Matrix and Operator Functions

Springer 2007; US$ 189.00The present book deals with factorization problems for matrix and operator functions. The problems originate from, or are motivated by, the theory of non-selfadjoint operators, the theory of matrix polynomials, mathematical systems and control theory, the theory of Riccati equations, inversion of convolution operators, theory of job scheduling in operations... more...

#### Infinite Matrices and their Finite Sections

Springer 2006; US$ 69.99An introduction to a fascinating topic at the interface of functional analysis, algebra and numerical analysis, written for students, researchers and practitioners. This book is concerned with the study of infinite matrices and their approximation by matrices of finite size. more...

#### Hierarchical Matrices

Springer 2008; US$ 189.00Hierarchical matrices are an efficient framework for large-scale fully populated matrices arising, e.g., from the finite element discretization of solution operators of elliptic boundary value problems. In addition to storing such matrices, approximations of the usual matrix operations can be computed with logarithmic-linear complexity, which can be... more...

#### Classical Finite Transformation Semigroups

Springer 2008; US$ 119.00Offers a self-contained introduction to the modern theory of finite transformation semigroups. This book covers topics such as: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, cross-sections and variants. more...

#### Positive Definite Matrices

Princeton University Press 2009; US$ 72.50This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical engineering,... more...

#### Robust Algebraic Multilevel Methods and Algorithms

De Gruyter 2009; US$ 119.00This book deals with algorithms for the solution of linear systems of algebraic equations with large-scale sparse matrices, with a focus on problems that are obtained after discretization of partial differential equations using finite element methods. Provides a systematic presentation of the recent advances in robust algebraic multilevel methods.... more...

#### Spectral Analysis of Large Dimensional Random Matrices

Springer 2010; US$ 169.00The aim of the book is to introduce basic concepts, main results, and widely applied mathematical tools in the spectral analysis of large dimensional random matrices. The core of the book focuses on results established under moment conditions on random variables using probabilistic methods, and is thus easily applicable to statistics and other areas... more...

#### A First Course in Linear Algebra

Cambridge University Press 1987; US$ 48.00This is a short, readable introduction to basic linear algebra, as usually encountered in a first course. more...

#### Combinatorial Matrix Classes

Cambridge University Press 2006; US$ 156.00A thorough development of certain classes of matrices that have combinatorial definitions or significance. more...

#### Elementary Linear Algebra

Elsevier Science 2010; US$ 99.95Elementary Linear Algebra develops and explains in careful detail the computational techniques and fundamental theoretical results central to a first course in linear algebra. This highly acclaimed text focuses on developing the abstract thinking essential for further mathematical study. The authors give early, intensive attention to the skills necessary... more...