数值线性代数
Numerical linear algebra
Lloyd N. Trefethen · 初版 1997 年
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为什么值得读
- 深入浅出介绍重要的矩阵分解方法
- 写作平易近人比纯参考工具书更好读
- 作为进阶入门教材讲解非常到位
本书是 numerical linear algebra 领域的入门介绍。它旨在以新颖的方式呈现核心与标准内容。涵盖的主题包括用于方程组和 eigenvalue problems 的 iterative methods，以及 conditioning 和 stability 的基本原理。
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……不太合适（尽管我觉得它挺酷的，而且这类方法某种程度上把大多数其他反演方法按在地上摩擦）。如果针对刚接触这个领域的初学者，我可能会用 Trefethen-Bau 的《数值线性代数》（Numerical Linear Algebra）来充实这门课程。
…wouldn't quite fit (despite me finding it to be pretty cool, and these methods sort of eating the lunch of most other inverse methods). I'd round out the course maybe with a read through of Trefethen-Bau, “Numerical Linear Algebra” for those new to the topic area.
……迭代法也很重要。见鬼，连嵌入在间接求解器中的高效直接求解技术都非常重要。入门的一个途径是找一本通用的数值线性代数书看看，比如 Trefethen 和 Bau 的《数值线性代数》。虽然有比他们书中更好的计算算法，但他们很好地介绍了重要的矩阵分解以及我们为什么……
…for iterative methods are also important. Hell, even efficient direct techniques embedded in indirect solvers is important. Part of the way to get started would be to look at something like a general numerical linear algebra book like Numerical Linear Algebra from Trefethen and Bau. There are better computational algorithms than what they present, but they do a good job at introducing important factorizations and why we…
在这一领域寻找入门书籍的朋友可能也会喜欢这本正在编写中的新书：https://web.stanford.edu/~boyd/vmls/ 作为后续进阶，我推荐 Trefethen & Bau 的《数值线性代数》。
Folks looking for introductory books in this area may also enjoy this new in-progress book: https://web.stanford.edu/~boyd/vmls/ As a follow-up I would recommend Trefethen & Bau, Numerical Linear Algebra.
（在我看来）另一本极好的“中级”教材是 Trefethen 的《数值线性代数》[1]。我觉得比 Golub 的那本可读性高得多，后者更像一本参考手册而不是教材。[1]: https://www.amazon.com/Numerical-Linear-Algebra-Lloyd-Trefet...
Another great "intermediate" textbook (in my opinion) is Trefethen's Numerical Linear Algebra [1]. Much more readable than Golub's I would say, which is more like a reference than a textbook. [1]: https://www.amazon.com/Numerical-Linear-Algebra-Lloyd-Trefet...
数值线性代数领域的研究生经典教材有两本：Golub 和 Van Loan 的《矩阵计算》（Matrix Computations），以及 Trefethen 和 Bau 的《数值线性代数》。你想找的那本参考书（包含可运行的 C++ 代码）是 William Press 等人合著的《数值算法》（Numerical Recipes）……
The two classic graduate texts for numerical linear algebra are Matrix Computations by Golub and Van Loan and Numerical Linear Algebra by Trefethen and Bau. The reference you are looking for (includes executable C++) is Numerical Recipes by William Press et al.…
要想很好地入门数值线性代数，我怎么推荐 Trefethen 和 Bau 的那本书都不为过。或者你如果喜欢自虐的话，可以看 Golub & Van Loan。
For a great introduction to numerical linear algebra, I cannot recommend enough the book from Trefethen and Bau. Or Golub & Van Loan, if you like pain.