The Theory Of Matrices In Numerical Analysis
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The Theory Of Matrices In Numerical Analysis
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Author : Alston S. Householder
language : en
Publisher: Courier Corporation
Release Date : 2013-06-18
The Theory Of Matrices In Numerical Analysis written by Alston S. Householder and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-18 with Mathematics categories.
This text presents selected aspects of matrix theory that are most useful in developing computational methods for solving linear equations and finding characteristic roots. Topics include norms, bounds and convergence; localization theorems; more. 1964 edition.
Numerical Matrix Analysis
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Author : Ilse C. F. Ipsen
language : en
Publisher: SIAM
Release Date : 2009-01-01
Numerical Matrix Analysis written by Ilse C. F. Ipsen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-01 with Mathematics categories.
The purpose of this book is to promote understanding of two phenomena: sensitivity of linear systems and least squares problems, and numerical stability of algorithms. Sensitivity and stability are analyzed as mathematical properties, without reference to finite precision arithmetic. The material is presented at a basic level, emphasizing ideas and intuition, but in a mathematically rigorous fashion. The derivations are simple and elegant, and the results are easy to understand and interpret. The book is self-contained. It was written for students in all areas of mathematics, engineering, and the computational sciences, but can easily be used for self-study. This text differs from other numerical linear algebra texts by offering the following: a systematic development of numerical conditioning; a simplified concept of numerical stability in exact arithmetic; simple derivations; a high-level view of algorithms; and results for complex matrices.
Matrix Analysis
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Author : Rajendra Bhatia
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Matrix Analysis written by Rajendra Bhatia and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
A good part of matrix theory is functional analytic in spirit. This statement can be turned around. There are many problems in operator theory, where most of the complexities and subtleties are present in the finite-dimensional case. My purpose in writing this book is to present a systematic treatment of methods that are useful in the study of such problems. This book is intended for use as a text for upper division and gradu ate courses. Courses based on parts of the material have been given by me at the Indian Statistical Institute and at the University of Toronto (in collaboration with Chandler Davis). The book should also be useful as a reference for research workers in linear algebra, operator theory, mathe matical physics and numerical analysis. A possible subtitle of this book could be Matrix Inequalities. A reader who works through the book should expect to become proficient in the art of deriving such inequalities. Other authors have compared this art to that of cutting diamonds. One first has to acquire hard tools and then learn how to use them delicately. The reader is expected to be very thoroughly familiar with basic lin ear algebra. The standard texts Finite-Dimensional Vector Spaces by P.R.
Matrix Analysis And Computations
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Author : Zhong-Zhi Bai
language : en
Publisher: SIAM
Release Date : 2021-09-09
Matrix Analysis And Computations written by Zhong-Zhi Bai and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-09 with Mathematics categories.
This comprehensive book is presented in two parts; the first part introduces the basics of matrix analysis necessary for matrix computations, and the second part presents representative methods and the corresponding theories in matrix computations. Among the key features of the book are the extensive exercises at the end of each chapter. Matrix Analysis and Computations provides readers with the matrix theory necessary for matrix computations, especially for direct and iterative methods for solving systems of linear equations. It includes systematic methods and rigorous theory on matrix splitting iteration methods and Krylov subspace iteration methods, as well as current results on preconditioning and iterative methods for solving standard and generalized saddle-point linear systems. This book can be used as a textbook for graduate students as well as a self-study tool and reference for researchers and engineers interested in matrix analysis and matrix computations. It is appropriate for courses in numerical analysis, numerical optimization, data science, and approximation theory, among other topics
Functions Of Matrices
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Author : Nicholas J. Higham
language : en
Publisher: SIAM
Release Date : 2008-01-01
Functions Of Matrices written by Nicholas J. Higham and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
A thorough and elegant treatment of the theory of matrix functions and numerical methods for computing them, including an overview of applications, new and unpublished research results, and improved algorithms. Key features include a detailed treatment of the matrix sign function and matrix roots; a development of the theory of conditioning and properties of the Fre;chet derivative; Schur decomposition; block Parlett recurrence; a thorough analysis of the accuracy, stability, and computational cost of numerical methods; general results on convergence and stability of matrix iterations; and a chapter devoted to the f(A)b problem. Ideal for advanced courses and for self-study, its broad content, references and appendix also make this book a convenient general reference. Contains an extensive collection of problems with solutions and MATLAB implementations of key algorithms.
Matrices
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Author : Denis Serre
language : en
Publisher: Springer Science & Business Media
Release Date : 2002
Matrices written by Denis Serre and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Matrices summarizes much of the basics of matrix theory and then goes on to give many interesting applications of matrices to different parts of mathematics, such as algebra, analysis, complexity theory and the theory of computation. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. It will also provide scientists and mathematicians with a useful and reliable reference.
The Theory Of Matrices In Numerical Analysis
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Author : Alston Scott Householder
language : en
Publisher:
Release Date : 1965
The Theory Of Matrices In Numerical Analysis written by Alston Scott Householder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
Matrices
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Author : Denis Serre
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-26
Matrices written by Denis Serre and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-26 with Mathematics categories.
In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. With forty percent new material, this second edition is significantly different from the first edition. Newly added topics include: • Dunford decomposition, • tensor and exterior calculus, polynomial identities, • regularity of eigenvalues for complex matrices, • functional calculus and the Dunford–Taylor formula, • numerical range, • Weyl's and von Neumann’s inequalities, and • Jacobi method with random choice. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the École Normale Supérieure de Lyon.
Matrix Theory
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Author : Joel N. Franklin
language : en
Publisher: Courier Corporation
Release Date : 2012-07-31
Matrix Theory written by Joel N. Franklin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-31 with Mathematics categories.
Mathematically rigorous introduction covers vector and matrix norms, the condition-number of a matrix, positive and irreducible matrices, much more. Only elementary algebra and calculus required. Includes problem-solving exercises. 1968 edition.
The Theory Of Matrices Volume 2
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Author : F. R. Gantmacher
language : en
Publisher:
Release Date : 2025
The Theory Of Matrices Volume 2 written by F. R. Gantmacher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025 with categories.
This is an excellent and unusual textbook on the application of the theory of matrices. ... The text includes many chapters of interest to applied mathematicians. -Zentralblatt MATH This book is part of a two-volume set (the first volume is published by the AMS as volume 131 in the same series). Written by one of Russia's leading mathematicians, this treatise provides us, in easily accessible form, a coherent account of matrix theory with a view toward applications in mathematics, theoretical physics, statistics, electrical engineering, etc. The individual chapters have been kept as far as possible independent of each other, so that the reader acquainted with the contents of Chapter 1 of the first volume can proceed immediately to chapters of special interest. In this volume the reader will find the study of singular pencils of matrices, properties of matrices with nonnegative elements, applications to systems of linear differential equations, and the study of the Routh-Hurwitz problem and related questions.