《应用数值线性代数》封面

应用数值线性代数

Applied numerical linear algebra

James W. Demmel · 初版 1997 年

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4位读者提及
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Hacker News 上怎么说

  • 确实。J. W. Demmel 的《Applied Numerical Linear Algebra》是一本更平易近人的入门书。不过,如果你是个受虐狂,真打算亲手去实现其中的任何算法,那 Golub 和 van Loan 的书绝对是极好的参考。(话虽如此,你真的不应该自己造轮子去实现它……

    True. J. W. Demmel, Applied Numerical Linear Algebra, is a gentler introduction. However, if you're masochist enough to actually implement any of the algorithms, Golub & van Loan is a great reference. (Though, you really shouldn't implement it yourself…

  • ……挺有意思的,但要是计算机背景的人想学,我建议先看 Strang,然后是 Trefethen & Bau(这是我的最爱)。关于数值线性代数,如果还有什么值得了解的,那都在 Golub 的书里,或者 Demmel 的《Applied Numerical Linear Algebra》(这也是个不可饶恕的遗漏;人家当年可是参与编写了 LAPACK 的!)。习题集也很重要;只要题目选得对,它们都相当不错。至于那些高度理论化的东西我就不太确定了……

    …interesting, but for a computer guy to learn, I'd suggest Strang, then Trefethen & Bau (my favorite). If there is anything else worth knowing about numeric linear algebra it is in Gollub, or Demmel's applied numerical linear algebra (another unforgivable omission; he only helped write LAPACK!). The problem books can also be important; they're all pretty good if you pick the problems right. Not sure the highly theoretical stuff…

  • Trefethen & Bau、Golub & Van Loan 以及 Demmel 的《Applied Numerical Linear Algebra》构成了这一领域的三剑客。我不知道楼主推荐的那本书到底是面向什么受众的,但翻一翻就很明显了:反正不是给我这种人看的。

    Trefethen&Bau, Golub & Van Loan and Demmel's "Applied Numerical Linear Algebra" make up the holy trinity. I don't know what audience the OP book is supposed to serve, but it's evident on inspection; it ain't me.

  • http://www.amazon.com/Applied-Numerical-Linear-Algebra-Demme... 这是一本非常棒的书。它涵盖了丰富的主题,从基础线性代数(比如用 LR 分解求解线性方程组)到用线性代数求解(偏)微分方程都有涉及。……

    http://www.amazon.com/Applied-Numerical-Linear-Algebra-Demme... This is really good book. It contains various topics from basic linear algebra (like solving systems with LR factorization) to solving (partial) differential equations with linear algebra.…

  • http://www.amazon.com/Applied-Numerical-Linear-Algebra-Demme... 数值线性代数有着悠久而庞大的历史。你确实需要专门的知识体系,而这些在本科的线性代数课上是学不到的。比如,条件数……

    http://www.amazon.com/Applied-Numerical-Linear-Algebra-Demme... Numerical linear algebra has a long and vast history. You really do need specialized information that your undergrad linear algebra classes would not have imparted. For instance, the condition…

  • ……这些。如果你想侧重实际计算(也就是数值 LA),可以考虑 Golub(愿他安息)的《Matrix Computations》(不过更偏工具书,不太适合自学)、Trefethen 的《Numerical Linear Algebra》,以及 Demmel 的《Applied Numerical Linear Algebra》。

    …these. For a focus actual computation (ie numerical LA), consider Golub's (RIP) Matrix Computations (more of a reference, though, not so much for self-study), Trefethen's Numerical Linear Algebra, Demmel's Applied Numerical Linear Algebra.

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