数值分析与科学计算

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出版社:Jeffery J.Leader 清华大学出版社 (2008-05出版)
出版日期:2008-5
ISBN:9787302172741
页数:590页

章节摘录

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内容概要

作者:(美国)Jeffery J.Leader

书籍目录

1 Nonlinear Equations 1.1 Bisechon and inverse Linear interpolation l.2 Newton's Method 1 1.3 The Feed Point Theorem ZIl.4 Quadratic Convenience orton's Mettiod I.5 vacants of Newton's Method I.6 Brent'SMethed 17 Effects of Finite incision Anthmetic l.8 Newton's Method for Systems l.9 Broyden's Method 2 Linear Systems goZI Gaussian EIon with Pallial Pivoting 2.2 The LUDecomposihon 2.3 The LU boomposition with Pivohng 2,4 ThectioIests Decomposition 25 Condition Numbers 2.6 The QRDecompositioD 2.7 Householder Triangulanzation and theoR DecompDSition 2,8 Gram SCh~~ OWhogunanzation and theQRDecomnosihon 2.9 The Singulax Value Decomposition vin Contents3 lterative Methods is3] Jarobi and Gauss-Seidel Jteration 3.2 Sparslty 3.3 Iterative Refinement 3.4 Preconditiomng 35 KryIOV Space Mithods 36 NamcricaI EgennrobIems 4 Polynomial Im6rpolation 41 Lasrange JnterooIating POlynomialS z#42 Piccewl sc Linear intmpolatlon 26 4.3 Cubic SpInies 4.4 COmmutation of the Cubic Spline COemcients 5 Numerical Integration 5.1 Closed Newton Cotes F'ormulas 5.2 Open Newton-Cotes Formulas and UndetendnedCoefficients 5.3 GaussianQuaurature 5.4 tuuss Chetryshev Quactraturc 55 Radau and LChami Quadrature 5.6 Adaptivity and Automatic Integtation 5.7 Ronlberglniegtation 6 Differential Equations afl61 Numencal Differenhation 6.2 EuIer's MCthod 6.3 I]nproved EIIIer's Me6.4 Analysis offupIicit One Step Mithods 4II6.5 ThyIOr ac Runge-Kutta Methods 6.6 Adantivity and Styness 67 Mulh StePMethods 7 Nonlinear Optimization 7.1 O]le-Dunensional Searches 7.2 The Method of Steepest Descent COntents IX7.3 Newton Methods for Nonlinear OPhndzation co7.4 Multiple Random Sac Methods 7.5 DrmctSeedMethods 7.6 The Nelder-Maal Method 7.7 COnjugate Dbechon thetheds 8 Approximation Methods sos8.1 Linear and Nonlineart Squares 8.2 The Best ^nproxunarmn Problem 83 Best UnifOTrn Approximation 8.4 APplications of the Chebyshev Polynomials Aff6rwoed Answers sBibliography s7iIndex s

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《大学计算机教育国外著名教材系列·数值分析与科学计算》由清华大学出版社出版。

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数值分析与科学计算(影印版),ISBN:9787302172741,作者:(美)里德

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  •     其实这本书,我自己还没有看,主要是我同学推荐给我的,作为数据研究的经典来说,数值分析的价值,你懂的……
 

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