Books in Linear and multilinear algebra matrix theory

31-40 of 41 results in All results

Algebraic and Analytic Methods in Representation Theory

• 1st Edition
• Volume 17
• September 27, 1996
• Bent Orsted
• English
• eBook 978-0-08-052695-9

  9 7 8 - 0 - 0 8 - 0 5 2 6 9 5 - 9

This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike.

Linear Algebra

• 1st Edition
• June 2, 1995
• Richard Bronson
• English
• eBook 978-0-08-057190-4

  9 7 8 - 0 - 0 8 - 0 5 7 1 9 0 - 4

In this appealing and well-written text, Richard Bronson gives readers a substructure for a firm understanding of the abstract concepts of linear algebra and its applications. The author starts with the concrete andcomputational (a 3 x 5 matrix describing a stores inventory) and leads the reader to a choice of major applications (Markov chains, least squares approximation, and solution of differential equations using Jordan normal form). The first three chapters address the basics: matrices, vector spaces, and linear transformations. The next three cover eigenvalues, Euclidean inner products, and Jordan canonical forms, offering possibilities that can be tailored to the instructors taste and to the length of the course. Bronsons approach to computation is modern and algorithmic, and his theory is clean and straightforward. Throughout, the views of the theory presented are broad and balanced. Key material is highlighted in the text and summarized at end of each chapter. The book also includes ample exercises with answers and hints. With its inclusion of all the needed pedagogical features, this text will be a pleasure for teachers and students alike.

Harmonic Analysis and Special Functions on Symmetric Spaces

• 1st Edition
• Volume 16
• February 8, 1995
• Gerrit Heckman
• English
• eBook 978-0-08-053329-2

  9 7 8 - 0 - 0 8 - 0 5 3 3 2 9 - 2

The two parts of this sharply focused book, Hypergeometric and Special Functions and Harmonic Analysis on Semisimple Symmetric Spaces, are derived from lecture notes for the European School of Group Theory, a forum providing high-level courses on recent developments in group theory. The authors provide students and researchers with a thorough and thoughtful overview, elaborating on the topic with clear statements of definitions and theorems and augmenting these withtime-saving examples. An extensive set of notes supplements the text.Heckman and Schlichtkrull extend the ideas of harmonic analysis on semisimple symmetric spaces to embrace the theory of hypergeometric and spherical functions and show that the K-variant Eisenstein integrals for G/H are hypergeometric functions under this theory. They lead readers from the fundamentals of semisimple symmetric spaces of G/H to the frontier, including generalization, to the Riemannian case. This volume will interest harmonic analysts, those working on or applying the theory of symmetric spaces; it will also appeal to those with an interest in special functions.

Matrix Perturbation Theory

• 1st Edition
• June 28, 1990
• G. W. Stewart + 1 more
• English
• Hardback 978-0-12-670230-9

  9 7 8 - 0 - 1 2 - 6 7 0 2 3 0 - 9

This book is a comprehensive survey of matrix perturbation theory, a topic of interest to numerical analysts, statisticians, physical scientists, and engineers. In particular, the authors cover perturbation theory of linear systems and least square problems, the eignevalue problem, and the generalized eignevalue problem as wellas a complete treatment of vector and matrix norms, including the theory of unitary invariant norms.

Spinors and Calibrations

• 1st Edition
• March 28, 1990
• F. Reese Harvey
• English
• Hardback 978-0-12-329650-4

  9 7 8 - 0 - 1 2 - 3 2 9 6 5 0 - 4
• eBook 978-0-08-091863-1

  9 7 8 - 0 - 0 8 - 0 9 1 8 6 3 - 1

Progress in mathematics is based on a thorough understanding of the mathematical objects under consideration, and yet many textbooks and monographs proceed to discuss general statements and assume that the reader can and will provide the mathematical infrastructure of examples and counterexamples. This book makes a deliberate effort to correct this situation: it is a collection of examples. The following table of contents describes its breadth and reveals the underlying motivation--differential geometry--in its many facets: Riemannian, symplectic, K*adahler, hyperK*adahler, as well as complex and quaternionic.

Theory of Difference Equations Numerical Methods and Applications by V Lakshmikantham and D Trigiante

• 1st Edition
• Volume 181
• April 28, 1988
• Lakshmikantham + 1 more
• English
• eBook 978-0-08-095869-9

  9 7 8 - 0 - 0 8 - 0 9 5 8 6 9 - 9

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.

Large Scale Eigenvalue Problems

• 1st Edition
• Volume 127
• January 1, 1986
• J. Cullum + 1 more
• English
• eBook 978-0-08-087238-4

  9 7 8 - 0 - 0 8 - 0 8 7 2 3 8 - 4

Results of research into large scale eigenvalue problems are presented in this volume. The papers fall into four principal categories:novel algorithms for solving large eigenvalue problems, novel computer architectures, computationally-relevant theoretical analyses, and problems where large scale eigenelement computations have provided new insight.

Stability and Periodic Solutions of Ordinary and Functional Differential Equations

• 1st Edition
• Volume 178
• December 19, 1985
• T. A. Burton
• English
• eBook 978-0-08-095867-5

  9 7 8 - 0 - 0 8 - 0 9 5 8 6 7 - 5

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.

The Theory of Matrices

• 2nd Edition
• May 24, 1985
• Peter Lancaster + 1 more
• English
• Hardback 978-0-12-435560-6

  9 7 8 - 0 - 1 2 - 4 3 5 5 6 0 - 6
• eBook 978-0-08-051908-1

  9 7 8 - 0 - 0 8 - 0 5 1 9 0 8 - 1

In this book the authors try to bridge the gap between the treatments of matrix theory and linear algebra. It is aimed at graduate and advanced undergraduate students seeking a foundation in mathematics, computer science, or engineering. It will also be useful as a reference book for those working on matrices and linear algebra for use in their scientific work.

Observers for Linear Systems

• 1st Edition
• August 18, 1983
• John O'Reilly
• English
• eBook 978-0-08-095999-3

  9 7 8 - 0 - 0 8 - 0 9 5 9 9 9 - 3

My aim, in writing this monograph, has been to remedy this omission by presenting a comprehensive and unified theory of observers for continuous-time and discrete -time linear systems. The book is intended for post-graduate students and researchers specializing in control systems, now a core subject in a number of disciplines. Forming, as it does, a self-contained volume it should also be of service to control engineers primarily interested in applications, and to mathematicians with some exposure to control problems.