Books for Numerical linear algebra

I'am looking for some books for studying Numerical linear algebra methods. It could be on english or russian ​​languages, and Maple or Matlab examples preferable, but it also can be C/C++/Formal code. Thanks for help.

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I'm not 100% sure, but this question might be more suitable for scicomp.stackexchange.com –  user2468 Mar 3 '12 at 20:08
Does it have to involve programming? I took several courses in e.g. numerical linear algebra without touching Matlab. –  TMM Mar 3 '12 at 20:17
well, better if it is, but I will be glad to see any books. –  nilly Mar 3 '12 at 20:22
Numerical linear algebra is not the right use case for Maple. Maple is more suitable for symbolic/exact computations e.g. over $\mathbb{Z}, \mathbb{Q}$, finite fields, and algebraic numbers. MATLAB, however, is (one of) the right tools for computational numerical linear algebra. –  user2468 Mar 3 '12 at 20:53

My favorites are Matrix Computations by Golub and Van Loan and Numerical Linear Algebra by Trefethen and Bau. Together they cover all the important aspects of the field.

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