新書推薦：
《
成功的法则：掌控人生的关键能力
》
售價：HK$
64.9
《
黄宗羲传
》
售價：HK$
74.8
《
教育研究量表手册 21世纪教育科学系列教材
》
售價：HK$
97.9
《
真事隐：康熙废储与正史虚构
》
售價：HK$
85.8
《
工艺之美（席曼婷）
》
售價：HK$
97.9
《
揭秘煤气灯效应：心理操控的哲学透视
》
售價：HK$
60.5
《
走，去地下 探索地球内部的秘密【精装大本】
》
售價：HK$
96.8
![含混的哲思——梅洛－庞蒂·杨大春讲梅洛－庞蒂[修订本合集]](//img.megbook.hk/upload/mall/productImages/26/7/9787303310944.jpg)
《
含混的哲思——梅洛－庞蒂·杨大春讲梅洛－庞蒂[修订本合集]
》
售價：HK$
184.8
|
| 內容簡介： |
|
Nonlinear eigenvalue problems arise in many fields of natural and engineering sciences. Theoretical and practical results are scattered in the literature and in most cases they have been developed for a certain type of problem. In this book we consider the most general nonlinear eigenvalue problem without assumptions on the struct.ure or spectrum. We start by providing basic facts on the conditioning of a simple eigenvalue and an inverse operator representation in terms of the singular value decomposition. The main part of this work connects Newton-type methods for nonlinear eigenvalue problems and nonlinear Rayleigh functionals.
|
| 目錄：
|
1 Introduction
1．1 Motivation I
1．2 The Nonlinear Eigenvalue Problem
1．3 Variational Principles
1．4 Outline
1．5 Motivation II
2 Preliminaries and Basic Results
2．1 Basic Properties
2．2 Assumptions
2．2．1 Real-valued Problems
2．2．2 Complex-valued Problems
2．3 Eigenvalue Condition Numbers
2．4 Representation of the Inverse Operator
2．5 Angles and Distances
3 Nonlinear Rayleigh Functionals
3．1 Introduction and Historical Review
3．2 Existence and Stationarity of the Generalized Rayleigh Functional
3．2．1 Real-valued Problems
3．2．2 Complex-valued Problems
3．3 The Standard Nonlinear Rayleigh Functional
3．3．1 Structured Problems
3．3．2 General Problems
3．3．3 Perturbation Expansion
3．4 Generalized Quotient vs． Functional
3．4．1 Two-sided Quotient and Functional
3．4．2 One-sided Quotient and Functional
3．5 Conclusion
4 Newton-type Methods
4．1 Methods for Approximating One Eigenpair
4．2 Methods for Approximating One Eigentriple
4．2．1 Two-sided Rayleigh Functional lteration
4．2．2 Two-sided Residual Inverse Iteration
4．2．3 Alternating Rayleigh Functional Iteration
4．2．4 Generalized Rayleigh Functional Iteration
4．3 Theoretical Comparison of the Methods
4．4 Computation of the Rayleigh Functional
4．5 Numerical Experiments
4．6 Conclusion
……
5 Half-step Methods
6 Jacobi-Davidson-type Methods
7 Nonlinear Complex Symmetric Jacobi-Davidson
8 Summary and Outlook
编辑手记
|
|
購物車/收銀台(0) | 在線留言板
| 付款方式
| 運費計算
| 聯絡我們
| 幫助中心 |
加入書簽
HOME
新書上架
暢銷書架
![含混的哲思——梅洛－庞蒂·杨大春讲梅洛－庞蒂[修订本合集]](http://img.megbook.hk/upload/mall/productImages/26/7/9787303310944.jpg)
