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Iterative Methods for Linear and Nonlinear Equations ÃâÔðÉùÃ÷ ±¾×ÊÔ´À´×ÔÓÚ»¥ÁªÍø£¬½ö¹©ÍøÂç²âÊÔÖ®Óã¬ÇëÎñ±ØÔÚÏÂÔØºó24СʱÄÚɾ³ý£¡ËùÓÐ×ÊÔ´²»Éæ¼°ÈκÎÉÌÒµÓÃ;¡£·¢ÌûÈ˲»³Ðµ£ÓÉÏÂÔØÊ¹ÓÃÕßÒý·¢µÄÒ»Çз¨ÂÉÔðÈμ°Á¬´øÔðÈΣ¡ Öø×÷Ȩ¹éÔ×÷Õß»ò³ö°æÉçËùÓС£Î´¾·¢ÌùÈËconanwjÐí¿É£¬ÑϽûÈκÎÈËÒÔÈκÎÐÎʽתÌù±¾ÎÄ£¬Î¥Õ߱ؾ¿£¡ Èç¹û±¾ÌûÇÖ·¸ÄúµÄÖø×÷Ȩ£¬ÇëÓëconanwjÁªÏµ£¬ÊÕµ½Í¨ÖªºóÎÒÃǽ«Á¢¼´É¾³ý´ËÌû£¡ Authors(Editors): C. T. Kelley North Carolina State University Publisher: Society for Industrial and Applied Mathematics Pub Date: 1995 Pages: 172 ISBN: Preface This book on iterative methods for linear and nonlinear equations can be used as a tutorial and a reference byan yone who needs to solve nonlinear systems of equations or large linear systems. It may also be used as a textbook for introductorycourses in nonlinear equations or iterative methods or as source material for an introductorycourse in numerical analysis at the graduate level. We assume that the reader is familiar with elementaryn umerical analysis, linear algebra, and the central ideas of direct methods for the numerical solution of dense linear systems as described in standard texts such as [7], [105], or [184]. Our approach is to focus on a small number of methods and treat them in depth. Though this book is written in a finite-dimensional setting, we have selected for coverage mostlyalgorithms and methods of analysis which extend directlyto the infinite-dimensional case and whose convergence can be thoroughly analyzed. For example, the matrix-free formulation and analysis for GMRES and conjugate gradient is almost unchanged in an infinite-dimensional setting. The analysis of Broyden¡¯s method presented in Chapter 7 and the implementations presented in Chapters 7 and 8 are different from the classical ones and also extend directlyto an infinite-dimensional setting. The computational examples and exercises focus on discretizations of infinitedimensional problems such as integral and differential equations. We present a limited number of computational examples. These examples are intended to provide results that can be used to validate the reader¡¯s own implementations and to give a sense of how the algorithms perform. The examples are not designed to give a complete picture of performance or to be a suite of test problems. The computational examples in this book were done with MATLAB (version 4.0a on various SUN SPARCstations and version 4.1 on an Apple Macintosh Powerbook 180) and the MATLAB environment is an excellent one for getting experience with the algorithms, for doing the exercises, and for small-to-medium scale production work.1 MATLAB codes for manyof the algorithms are available byanon ymous ftp. A good introduction to the latest version (version 4.2) of MATLAB is the MATLAB Primer [178]; [43] is also a useful resource. If the reader has no access to MATLAB or will be solving verylarge problems, the general algorithmic descriptions or even the MATLAB codes can easilyb e translated to another language. Parts of this book are based upon work supported bythe National Science Foundation and the Air Force Office of Scientific Research over several years, most recently under National Science Foundation Grant Nos. DMS-9024622 and DMS-9321938. Anyopinions, findings, and conclusions or recommendations expressed in this material are those of the author and do not necessarilyreflect the views of the National Science Foundation or of the Air Force Office of Scientific Research. Manyof mystuden ts and colleagues discussed various aspects of this project with me and provided important corrections, ideas, suggestions, and pointers to the literature. I am especiallyindebted to Jim Banoczi, Jeff Butera, Steve Campbell, TonyChoi, MoodyCh u, Howard Elman, Jim Epperson, Andreas Griewank, Laura Helfrich, Ilse Ipsen, Lea Jenkins, Vickie Kearn, Belinda King, Debbie Lockhart, Carl Meyer, Casey Miller, Ekkehard Sachs, Jeff Scroggs, Joseph Skudlarek, Mike Tocci, Gordon Wade, Homer Walker, Steve Wright, Zhaqing Xue, Yue Zhang, and an anonymous reviewer for their contributions and encouragement. Most importantly, I thank Chung-Wei Ng and my parents for over one hundred and ten years of patience and support. C. T. Kelley Raleigh, North Carolina January, 1998 ±¾×ÊÔ´¹²7¸ö¿ÉÑ¡ÍøÂçÓ²ÅÌÁ´½Ó£¬693 K¡£ -------------------------------------------------------------------------------------------------------- https://rapidshare.com/files/358 ... .SIAM.p172.1995.rar https://uploading.com/files/afa1 ... SIAM.p172.1995.rar/ https://www.easy-share.com/1909448052/Iterative Methods for Linear and Nonlinear Equations.C. T. Kelley.SIAM.p172.1995.rar https://depositfiles.com/files/8uyxj2xj9 https://www.divshare.com/download/10654488-825 https://www.sendspace.com/file/jgw34i -------------------------------------------------------------------------------------------------------- ³æÓÑÇëµãÒÔÏÂÁ´½ÓÏÂÔØ(by bluesine) https://www.namipan.com/d/Iterat ... 583bae32169893c0c00 [ Last edited by bluesine on 2010-5-9 at 09:36 ] |
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