Functions of Matrices Theory and putation~tqw~_darksiderg torrent download



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INFO


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Title................: Functions of Matrices: Theory and Computation


Type.................: Ebook


Reader...............: PDF Reader


Size.................: 15.2 MB


Torrent Hash.........: A0732334 E1E5B380 F7FAE63D E9851233 AB99BF04 


Posted by............: ~tqw~





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CONTENTS


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http://images.barnesandnoble.com/images/27590000/27593355.jpg


Synopsis:


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new and unpublished research results, and improved algorithms.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 Fréchet 


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. 





Table Of Contents:


List of Figures


List of Tables


1 Theory of Matrix Functions 1


2 Applications 35


3 Conditioning 55


4 Techniques for General Functions 71


5 Matrix Sign Function 107


6 Matrix Square Root 133


7 Matrix pth Root 173


8 The Polar Decomposition 193


9 Schur-Parlett Algorithm 221


10 Matrix Exponential 233


11 Matrix Logarithm 269


12 Matrix Cosine and Sine 287


13 Function of Matrix Times Vector: f(A)b 301


14 Miscellany 313


A Notation 319


B Background: Definitions and Useful Facts 321


C Operation Counts 335


D Matrix Function Toolbox 339


E Solutions to Problems 343


Bibliography 379


Index 415 





Product Details:


    * ISBN: 0898716462


    * ISBN-13: 9780898716467


    * Format: Textbook Hardcover, 427pp


    * Publisher: SIAM


    * Pub. Date: April 2008


    * Edition Number: 1





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