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Introduction To Matrix Analysis And Applications

Introduction To Matrix Analysis And Applications
Author: Fumio Hiai
Publisher: Springer
ISBN: 9783319041490
Size: 77.60 MB
Format: PDF, Kindle
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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: Fumio Hiai, Dénes Petz
Categories: Mathematics
Type: BOOK - Published: 2014-02-06 - Publisher: Springer Science & Business Media
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
Language: en
Pages: 403
Authors: Richard Bellman, Richard Ernest Bellman
Categories: Mathematical analysis
Type: BOOK - Published: 1970 - Publisher:
Books about Introduction to Matrix Analysis
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 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.
Introduction to Linear and Matrix Algebra
Language: en
Pages: 482
Authors: Nathaniel Johnston
Categories: Mathematics
Type: BOOK - Published: 2021-05-19 - Publisher: Springer Nature
This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the
Computational Matrix Analysis
Language: en
Pages: 157
Authors: Alan J. Laub
Categories: Mathematics
Type: BOOK - Published: 2012-01-01 - Publisher: SIAM
Using an approach that author Alan Laub calls "matrix analysis for grown-ups," this new textbook introduces fundamental concepts of numerical linear algebra and their application to solving certain numerical problems arising in state-space control and systems theory. It is written for advanced undergraduate and beginning graduate students and can be
Introduction to Numerical Linear Algebra and Optimisation
Language: en
Pages: 436
Authors: Philippe G. Ciarlet, Philippe Gaston Ciarlet, Bernadette Miara, Jean-Marie Thomas
Categories: Computers
Type: BOOK - Published: 1989-08-25 - Publisher: Cambridge University Press
The purpose of this book is to give a thorough introduction to the most commonly used methods of numerical linear algebra and optimisation. The prerequisites are some familiarity with the basic properties of matrices, finite-dimensional vector spaces, advanced calculus, and some elementary notations from functional analysis. The book is in