国外数学名著系列(续一 影印版)42:无约束最优化与非线性方程的数值方法 [Numerical Methods for Unconstrained Optimization and Nonlinear epub pdf  mobi txt 电子书 下载

国外数学名著系列(续一 影印版)42:无约束最优化与非线性方程的数值方法 [Numerical Methods for Unconstrained Optimization and Nonlinear epub pdf mobi txt 电子书 下载 2024

国外数学名著系列(续一 影印版)42:无约束最优化与非线性方程的数值方法 [Numerical Methods for Unconstrained Optimization and Nonlinear epub pdf mobi txt 电子书 下载 2024


简体网页||繁体网页
J.E.Dennis,Jr,Robert,B.Schnabel 著

下载链接在页面底部


点击这里下载
    


想要找书就要到 静思书屋
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

发表于2024-12-23

商品介绍



出版社: 科学出版社
ISBN:9787030234827
版次:1
商品编码:11906199
包装:精装
丛书名: 国外数学名著系列(续一)(影印版)42
外文名称:Numerical Methods for Unconstrained Optimization and Nonlinear Equations
开本:16开
出版时间:2009-0

国外数学名著系列(续一 影印版)42:无约束最优化与非线性方程的数值方法 [Numerical Methods for Unconstrained Optimization and Nonlinear epub pdf mobi txt 电子书 下载 2024



类似图书 点击查看全场最低价

相关书籍





书籍描述

内容简介

  This book is a standard for a complete description of the methods for unconstrained optimization and the solution ofnonlinear equations....this republication is most welcome and this volume should be in every library. Of course, there exist more recent books on the topics and somebody interested in the subject cannot be satiated by looking only at this book. However, it contains much quite-well-presented material and I recommend reading it before going ,to other.publications.

内页插图

精彩书评

  ★"...For anyone who needs to go beyond the basic treatment of numerical methods for nonlinear equations given in any number of standard numerical texts this book is ideal"
  ——Duncan Lawson, Mathematics Today, August 1998.
  
  ★"With 206 exercises aiming to illustrate and develop the ideas in the text and 134 bibliographical references, this very well written and organized monograph provides the basic inJbrmation needed to understand both the theory and the practice qf the methods'for solving problems related to unconstrained optimization and systems of nonlinear equations."
  ——Alfred Braier, Buletinul lnstitutului Politehnic Din lasi, Tomul
  XLII(XLVI), Fasc. 3-4, 1996.
  
  ★"This book is a standardJor a complete description of the methods for unconstrained optimization and the solution of nonlinear equations. ...this republication is most welcome and this volume should be in every library. Of course, there exist more recent books on the topic's and somebody interested in the subject cannot be satisfied by looking only at this book. However, it contains much quite-well-presented material and I recommend reading it before going to other publications."
  ——Claude Brejinski, Numerical Algorithms, 13, October 1996.

目录

PREFACE TO THE CLASSICS EDITION
PREFACE
1 INTRODUCTION
1.1 Problems to be considered
1.2 Characteristics of"real-world" problems
1.3 Finite-precision arithmetic and measurement of error
1.4 Exercises

2 NONLINEAR PROBLEMS IN ONE VARIABLE
2.1 What is not possible
2.2 Newton's method for solving one equation in one unknown
2.3 Convergence of sequences of real numbers
2.4 Convergence of Newton's method
2.5 Globally convergent methods for solving one equation in one unknown
2.6 Methods when derivatives are unavailable
2.7 Minimization of a function of one variable
2.8 Exercises

3 NUMERICAL LINEAR ALGEBRA BACKGROUND
3.1 Vector and matrix norms and orthogonality
3.2 Solving systems of linear equations——matrix factorizations
3.3 Errors in solving linear systems
3.4 Updating matrix factorizations
3.5 Eigenvalues and positive definiteness
3.6 Linear least squares
3.7 Exercises

4 MULTIVARIABLE CALCULUS BACKGROUND
4.1 Derivatives and multivariable models
4.2 Multivariable finite-difference derivatives
4.3 Necessary and sufficient conditions for unconstrained minimization
4.4 Exercises 83

5 NEWTON'S METHOD FOR NONLINEAR EQUATIONS AND UNCONSTRAINED MINIMIZATION
5.1 Newton's method for systems of nonlinear equations
5.2 Local convergence of Newton's method
5.3 The Kantorovich and contractive mapping theorems
5.4 Finite-difference derivative methods for systems of nonlinear equations
5.5 Newton's method for unconstrained minimization
5.6 Finite-difference derivative methods for unconstrained minimization
5.7 Exercises

6 GLOBALLY CONVERGENT MODIFICATIONS OF NEWTON'S METHOD
6.1 The quasi-Newton framework
6.2 Descent directions
6.3 Line searches
6.3.1 Convergence results for properly chosen steps
6.3.2 Step selection by backtracking
6.4 The model-trust region approach
6.4.1 The locally constrained optimal ("hook") step
6.4.2 The double dogleg step
6.4.3 Updating the trust region
6.5 Global methods for systems of nonlinear equations
6.6 Exercises

7 STOPPING, SCALING, AND TESTING
7.1 Scaling
7.2 Stopping criteria
7.3 Testing
7.4 Exercises

8 SECANT METHODS FOR SYSTEMS OF NONLINEAR EQUATIONS
8.1 Broyden's method
8.2 Local convergence analysis of Broyden's method
8.3 Implementation of quasi-Newton algorithms using Broyden's update
8.4 Other secant updates for nonlinear equations
8.5 Exercises

9 SECANT METHODS FOR UNCONSTRAINED MINIMIZATION
9.1 The symmetric secant update of Powell
9.2 Symmetric positive definite secant updates
9.3 Local convergence of positive definite secant methods
9.4 Implementation of quasi-Newton algorithms using the positive definite secant update
9.5 Another convergence result for the positive definite secant method
9.6 Other secant updates for unconstrained minimization
9.7 Exercises

10 NONLINEAR LEAST SQUARES
10.1 The nonlinear least-squares problem
10.2 Gauss-Newton-type methods
10.3 Full Newton-type methods
10.4 Other considerations in solving nonlinear least-squares problems
10.5 Exercises

11 METHODS FOR PROBLEMS WITH SPECIAL STRUCTURE
11.1 The sparse finite-difference Newton method
11.2 Sparse secant methods
11.3 Deriving least-change secant updates
11.4 Analyzing least-change secant methods
11.5 Exercises

A APPENDIX: A MODULAR SYSTEM OF ALGORITHMS FOR UNCONSTRAINED MINIMIZATION AND NONLINEAR EQUATIONS (by Robert Schnabel)
B APPENDIX: TEST PROBLEMS (by Robert SchnabeI)
REFERENCES
AUTHOR INDEX
SUBJECT INDEX

前言/序言


国外数学名著系列(续一 影印版)42:无约束最优化与非线性方程的数值方法 [Numerical Methods for Unconstrained Optimization and Nonlinear epub pdf mobi txt 电子书 下载 2024

国外数学名著系列(续一 影印版)42:无约束最优化与非线性方程的数值方法 [Numerical Methods for Unconstrained Optimization and Nonlinear 下载 epub mobi pdf txt 电子书 2024

国外数学名著系列(续一 影印版)42:无约束最优化与非线性方程的数值方法 [Numerical Methods for Unconstrained Optimization and Nonlinear pdf 下载 mobi 下载 pub 下载 txt 电子书 下载 2024

国外数学名著系列(续一 影印版)42:无约束最优化与非线性方程的数值方法 [Numerical Methods for Unconstrained Optimization and Nonlinear mobi pdf epub txt 电子书 下载 2024

国外数学名著系列(续一 影印版)42:无约束最优化与非线性方程的数值方法 [Numerical Methods for Unconstrained Optimization and Nonlinear epub pdf mobi txt 电子书 下载
想要找书就要到 静思书屋
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

读者评价

评分

英文版本,关于一些数值方面的

评分

红红火火恍恍惚惚恍恍惚惚红红火火恍恍惚惚

评分

红红火火恍恍惚惚恍恍惚惚红红火火恍恍惚惚

评分

收藏,还没来得及看

评分

英文版本,关于一些数值方面的

评分

英文版本,关于一些数值方面的

评分

印刷不清晰,质量很一般,怀疑不是正版书

评分

学习中。

评分

挺好的,需要耐心研读!

国外数学名著系列(续一 影印版)42:无约束最优化与非线性方程的数值方法 [Numerical Methods for Unconstrained Optimization and Nonlinear epub pdf mobi txt 电子书 下载 2024

类似图书 点击查看全场最低价

国外数学名著系列(续一 影印版)42:无约束最优化与非线性方程的数值方法 [Numerical Methods for Unconstrained Optimization and Nonlinear epub pdf mobi txt 电子书 下载 2024


分享链接









相关书籍


本站所有内容均为互联网搜索引擎提供的公开搜索信息,本站不存储任何数据与内容,任何内容与数据均与本站无关,如有需要请联系相关搜索引擎包括但不限于百度google,bing,sogou

友情链接

© 2024 book.tinynews.org All Rights Reserved. 静思书屋 版权所有