The Collected Mathematical Papers of James Joseph Sylvester: Volume 1, 1837-1853 PDF Download
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Author: James Joseph Sylvester
Publisher: Cambridge University Press
ISBN: 1107650321
Category : History
Languages : en
Pages : 665
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Book Description
This 1904 book forms the first in four volumes of James Joseph Sylvester's mathematical papers, covering 1837 to 1853.
Author: James Joseph Sylvester
Publisher: Cambridge University Press
ISBN: 1107650321
Category : History
Languages : en
Pages : 665
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Book Description
This 1904 book forms the first in four volumes of James Joseph Sylvester's mathematical papers, covering 1837 to 1853.
Author: James Joseph Sylvester
Publisher:
ISBN:
Category :
Languages : en
Pages : 672
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Book Description
Author: Nicholas J. Higham
Publisher: SIAM
ISBN: 0898716462
Category : Mathematics
Languages : en
Pages : 431
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Book Description
“This superb book is timely and is written with great attention paid to detail, particularly in its referencing of the literature. The book has a wonderful blend of theory and code (MATLAB®) so will be useful both to nonexperts and to experts in the field.” — Alan Laub, Professor, University of California, Los Angeles The only book devoted exclusively to matrix functions, this research monograph gives a thorough treatment of the theory of matrix functions and numerical methods for computing them. The author's elegant presentation focuses on the equivalent definitions of f(A) via the Jordan canonical form, polynomial interpolation, and the Cauchy integral formula, and features an emphasis on results of practical interest and an extensive collection of problems and solutions. Functions of Matrices: Theory and Computation is more than just a monograph on matrix functions; its wide-ranging content—including an overview of applications, historical references, and miscellaneous results, tricks, and techniques with an f(A) connection—makes it useful as a general reference in numerical linear algebra.Other key features of the book include development of the theory of conditioning and properties of the Fréchet derivative; an emphasis on the Schur decomposition, the block Parlett recurrence, and judicious use of Padé approximants; the inclusion of new, unpublished research results and improved algorithms; a chapter devoted to the f(A)b problem; and a MATLAB® toolbox providing implementations of the key algorithms.Audience: This book is for specialists in numerical analysis and applied linear algebra as well as anyone wishing to learn about the theory of matrix functions and state of the art methods for computing them. It can be used for a graduate-level course on functions of matrices and is a suitable reference for an advanced course on applied or numerical linear algebra. It is also particularly well suited for self-study. Contents: List of Figures; List of Tables; Preface; Chapter 1: Theory of Matrix Functions; Chapter 2: Applications; Chapter 3: Conditioning; Chapter 4: Techniques for General Functions; Chapter 5: Matrix Sign Function; Chapter 6: Matrix Square Root; Chapter 7: Matrix pth Root; Chapter 8: The Polar Decomposition; Chapter 9: Schur-Parlett Algorithm; Chapter 10: Matrix Exponential; Chapter 11: Matrix Logarithm; Chapter 12: Matrix Cosine and Sine; Chapter 13: Function of Matrix Times Vector: f(A)b; Chapter 14: Miscellany; Appendix A: Notation; Appendix B: Background: Definitions and Useful Facts; Appendix C: Operation Counts; Appendix D: Matrix Function Toolbox; Appendix E: Solutions to Problems; Bibliography; Index.
Author: JISE Editors
Publisher: Lulu.com
ISBN: 0359806694
Category : Education
Languages : en
Pages : 187
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Book Description
Aims & Scope Journal of Interdisciplinary Studies in Education is aimed at those in the academic world who are dedicated to advancing the field of education through their research. JISE provides a range of articles that speak to the major issues in education across all content areas and disciplines. The Journal is peer edited through a blind review process that utilizes a national and international editorial board and peer reviewers. JISE aspires to advance research in the field of education through a collection of quality, relevant, and advanced interdisciplinary articles in the field of education. The journal is listed/indexed with: ProQuest, EBSCOHost, and Cabell's Directory of Journals
Author: Nicholas J. Higham
Publisher: SIAM
ISBN: 0898714206
Category : Mathematics
Languages : en
Pages : 304
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Book Description
Nick Higham follows up his successful HWMS volume with this much-anticipated second edition.
Author: Martha A. Tucker
Publisher: Bloomsbury Publishing USA
ISBN: 0313053375
Category : Language Arts & Disciplines
Languages : en
Pages : 362
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Book Description
This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. We are in a time of transition in scholarly communications in mathematics, practices which have changed little for a hundred years are giving way to new modes of accessing information. Where journals, books, indexes and catalogs were once the physical representation of a good mathematics library, shelves have given way to computers, and users are often accessing information from remote places. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These are grouped by type of material. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. Amazingly a majority of listed electronic resources are free.
Author: Rainer E. Burkard
Publisher: SIAM
ISBN: 9781611972238
Category : Mathematics
Languages : en
Pages : 415
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Book Description
This book provides a comprehensive treatment of assignment problems from their conceptual beginnings in the 1920s through present-day theoretical, algorithmic, and practical developments. The revised reprint provides details on a recent discovery related to one of Jacobi's results, new material on inverse assignment problems and quadratic assignment problems, and an updated bibliography. The authors have organized the book into 10 self-contained chapters to make it easy for readers to use the specific chapters of interest to them without having to read the book linearly. The topics covered include bipartite matching algorithms, linear assignment problems, quadratic assignment problems, multi-index assignment problems, and many variations of these problems. Exercises in the form of numerical examples provide readers with a method of self-study or students with homework problems, and an associated webpage offers applets that readers can use to execute some of the basic algorithms as well as links to computer codes that are available online. Researchers will benefit from the book's detailed exposition of theory and algorithms related to assignment problems, including the basic linear sum assignment problem and its many variations. Practitioners will learn about practical applications of the methods, the performance of exact and heuristic algorithms, and software options. This book also can serve as a text for advanced courses in discrete mathematics, integer programming, combinatorial optimization, and algorithmic computer science.
Author: Nicholas J. Higham
Publisher: SIAM
ISBN: 9780898718027
Category : Mathematics
Languages : en
Pages : 710
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Book Description
Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures.
Author: Duncan M'Laren Young Sommerville
Publisher:
ISBN:
Category : Geometry, Non-Euclidean
Languages : en
Pages : 444
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Book Description
Author: Fuzhen Zhang
Publisher: Springer Science & Business Media
ISBN: 0387242732
Category : Mathematics
Languages : en
Pages : 308
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Book Description
This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. Coverage includes historical development, basic properties, eigenvalue and singular value inequalities, matrix inequalities in both finite and infinite dimensional settings, closure properties, and applications in statistics, probability, and numerical analysis.
