Ebook BookFunctions of Matrices Theory and Computation (Other Titles in Applied Mathematics)

PDF Functions of Matrices Theory and Computation (Other Titles in Applied Mathematics)

PDF Functions of Matrices Theory and Computation (Other Titles in Applied Mathematics)

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Book Details :
Published on: 2008-03-26
Released on:
Original language: English

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is more than just a monograph on matrix functions; its wide-ranging content including an overview of applications, historical references, and miscellaneous results, tricks, and techniques with an f(A) connection makes it useful as a general reference in numerical linear algebra.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 Frechet derivative; an emphasis on the Schur decomposition, the block Parlett recurrence, and judicious use of Pade approximants; the inclusion of new, unpublished research results and improved algorithms; a chapter devoted to the f(A)b problem; and a MATLAB® toolbox providing implementations of the key algorithms.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. Interval arithmetic - Wikipedia Interval arithmetic interval mathematics interval analysis or interval computation is a method developed by mathematicians since the 1950s and 1960s as an ... Course Descriptions Reynolds Community College AMERICAN SIGN LANGUAGE [back to top] ASL 100 Orientation to Acquisition of ASL as an Adult 2 cr. Presents a brief introduction to the U.S. Deaf Community focusing on ... Four-letter Course Codes-Undergraduate - Academic Catalogs The following is a listing of all undergraduate course codes. Click on the four-letter code to review the undergraduate courses within that discipline. To Free Science and Engineering Books Daryl's TCP/IP Primer. This document is designed to give the reader a reasonable working knowledge of TCP/IP subnetting addressing and routing. Physics authors/titles "new" - arXiv In mixing highly viscous materials like polymers foods and rubbers the geometric structure of the mixing device is a determining factor for the quality of the ... MyMathLab Pearson Engage students with immersive content tools and experiences. Part of the world's leading collection of online homework tutorial and assessment products Pearson ... Welcome to the National Center and State Collaborative! The National Center and State Collaborative (NCSC) is a project led by five centers and 24 states to build an alternate assessment based on alternate achievement ... Mathematics (since Feb 1992) - arXiv Mathematics (since Feb 1992) For a specific paper enter the identifier into the top right search box. Browse: new (most recent mailing with abstracts) Computational complexity theory - Wikipedia Computational complexity theory is a branch of the theory of computation in theoretical computer science that focuses on classifying computational problems according ... DEPARTMENT OF ECONOMICS HIMACHAL PRADESH UNIVERSITY SUMMER ... DEPARTMENT OF ECONOMICS HIMACHAL PRADESH UNIVERSITY SUMMER HILL SHIMLA-171005 COURSES OF STUDY FOR B.A. and B.A. HONS ECONOMICS STUDENTS Titles of the papers and ...
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