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Introduction To Matrix Analysis And Applications

Introduction To Matrix Analysis And Applications
Author: Fumio Hiai
Publisher: Springer
ISBN: 9783319041490
Size: 29.18 MB
Format: PDF, ePub
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Matrices can be studied in different ways. They are a linear algebraic structure and have a topological/analytical aspect (for example, the normed space of matrices) and they also carry an order structure that is induced by positive semidefinite matrices. The interplay of these closely related structures is an essential feature of matrix analysis. This book explains these aspects of matrix analysis from a functional analysis point of view. After an introduction to matrices and functional analysis, it covers more advanced topics such as matrix monotone functions, matrix means, majorization and entropies. Several applications to quantum information are also included. Introduction to Matrix Analysis and Applications is appropriate for an advanced graduate course on matrix analysis, particularly aimed at studying quantum information. It can also be used as a reference for researchers in quantum information, statistics, engineering and economics.
Introduction to Matrix Analysis and Applications
Language: en
Pages: 332
Authors: Fumio Hiai, Dénes Petz
Categories: Mathematics
Type: BOOK - Published: 2014-02-20 - Publisher: Springer
Matrices can be studied in different ways. They are a linear algebraic structure and have a topological/analytical aspect (for example, the normed space of matrices) and they also carry an order structure that is induced by positive semidefinite matrices. The interplay of these closely related structures is an essential feature
Introduction to Matrix Analysis and Applications
Language: en
Pages: 332
Authors: Hiai Fumio, Petz Denes
Categories: Mathematics
Type: BOOK - Published: 2014-02-06 - Publisher: Hindustan Book Agency
Matrices can be studied in different ways. They are a linear algebraic structure and have a topological/analytical aspect (for example, the normed space of matrices) and they also carry an order structure that is induced by positive semidefinite matrices. The interplay of these closely related structures is an essential feature
Fundamentals of Matrix Analysis with Applications
Language: en
Pages: 408
Authors: Edward Barry Saff, Arthur David Snider
Categories: Mathematics
Type: BOOK - Published: 2015-10-12 - Publisher: John Wiley & Sons
An accessible and clear introduction to linear algebra with a focus on matrices and engineering applications Providing comprehensive coverage of matrix theory from a geometric and physical perspective, Fundamentals of Matrix Analysis with Applications describes the functionality of matrices and their ability to quantify and analyze many practical applications. Written
Introduction to Matrix Analysis
Language: en
Pages: 403
Authors: Richard Bellman, Richard Ernest Bellman
Categories: Mathematical analysis
Type: BOOK - Published: 1970 - Publisher:
Books about Introduction to Matrix Analysis
Solutions Manual to Accompany Fundamentals of Matrix Analysis with Applications
Language: en
Pages: 268
Authors: Edward Barry Saff, Arthur David Snider
Categories: Mathematics
Type: BOOK - Published: 2016-02-15 - Publisher: John Wiley & Sons
Solutions Manual to accompany Fundamentals of Matrix Analysis with Applications - an accessible and clear introduction to linear algebra with a focus on matrices and engineering applications
Introduction to Matrix Analysis and Applications
Language: en
Pages: 294
Authors: Mohamed Ali Karim
Categories: Mathematics
Type: BOOK - Published: 2015-08-01 - Publisher:
Matrix analysis is the study of matrices and their algebraic properties. Some particular topics out of many include; operations defined on matrices (such as matrix addition, matrix multiplication and operations derived from these), functions of matrices (such as matrix exponentiation and matrix logarithm, and even sines and cosines etc. of
Introduction to Matrix Analysis
Language: en
Pages: 403
Authors: Richard Bellman
Categories: Mathematics
Type: BOOK - Published: 1997-12-01 - Publisher: SIAM
Long considered to be a classic in its field, this was the first book in English to include three basic fields of the analysis of matrices -- symmetric matrices and quadratic forms, matrices and differential equations, and positive matrices and their use in probability theory and mathematical economics. Written in
Introduction to Matrix Theory
Language: en
Pages: 501
Authors: Ferenc Szidarovszky, S ndor Moln r
Categories: Business & Economics
Type: BOOK - Published: 2002 - Publisher: World Scientific
In economic modeling and planning, as well as in business, most problems are linear, or approximated by linear models. Such problems are solved by matrix methods, so the material presented in this book is essential to these fields.
Matrices and Matroids for Systems Analysis
Language: en
Pages: 483
Authors: Kazuo Murota
Categories: Mathematics
Type: BOOK - Published: 2009-10-27 - Publisher: Springer Science & Business Media
A matroid is an abstract mathematical structure that captures combinatorial properties of matrices. This book offers a unique introduction to matroid theory, emphasizing motivations from matrix theory and applications to systems analysis. This book serves also as a comprehensive presentation of the theory and application of mixed matrices, developed primarily
Matrix Algebra for Linear Models
Language: en
Pages: 392
Authors: Marvin H. J. Gruber
Categories: Mathematics
Type: BOOK - Published: 2014-01-03 - Publisher: Wiley
Matrix methods have evolved from a tool for expressing statistical problems to an indispensable part of the development, understanding, and use of various types of complex statistical analyses. This evolution has made matrix methods a vital part of statistical education. Traditionally, matrix methods are taught in courses on everything from