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Optimization By Vector Space Methods 9780471181170书籍详细信息
- ISBN：9780471181170
- 作者：暂无作者
- 出版社：暂无出版社
- 出版时间：1997-01
- 页数：344
- 价格：1023.80
- 纸张：胶版纸
- 装帧：平装
- 开本：32开
- 语言：未知
- 丛书：暂无丛书
- TAG：暂无
- 豆瓣评分：暂无豆瓣评分
内容简介：
Engineers must make decisions regarding the distribution of
expensive resources in a manner that will be economically
beneficial. This problem can be realistically formulated and
logically analyzed with optimization theory. This book shows
engineers how to use optimization theory to solve complex problems.
Unifies the large field of optimization with a few geometric
principles. Covers functional analysis with a minimum of
mathematics. Contains problems that relate to the applications in
the book.
书籍目录：
Linear Spaces.
Hilbert Space.
Least-Squares Estimation.
Dual Spaces.
Linear Operators and Adjoints.
Optimization of Functionals.
Global Theory of Constrained Optimization.
Local Theory of Constrained Optimization.
Iterative Methods of Optimization.
Indexes.
作者介绍：
DAVID G. LUENBERGER is a professor in the School of
Engineering at Stanford University. He has published four textbooks
and over 70 technical papers. Professor Luenberger is a Fellow of
the Institute of Electrical and Electronics Engineers and recipient
of the 1990 Bode Lecture Award. His current research is mainly in
investment science, economics, and planning.
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原文赏析：
Proposition 1. Let X be a Banach space, M a closed subspace of X, and X/M the quotient space with the quotient norm defined as above. Then X/M is also a Banach space.
Since the solution to the approximation problem is equivalent to solution to the normal equations, it is clear that the Gram-Schmidt procedure can be interpreted as a procedure for inverting the Gram matrix. Conversely, many effective algorithms for solving the normal equations have an interpretation in terms of the minimum norm problem in Hilbert space. (p. 63)
其它内容：
书籍介绍
Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.
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实用性：4分
章节划分：7分
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新颖与独特：4分
情感共鸣：9分
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