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Matrix Computations (Johns Hopkins Studies in Mathematical Sciences)(3rd Edition)

Gene H. Golub, Charles F. Van Loan · 2 HN comments
HN Books has aggregated all Hacker News stories and comments that mention "Matrix Computations (Johns Hopkins Studies in Mathematical Sciences)(3rd Edition)" by Gene H. Golub, Charles F. Van Loan.
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Amazon Summary
Revised and updated, the third edition of Golub and Van Loan's classic text in computer science provides essential information about the mathematical background and algorithmic skills required for the production of numerical software. This new edition includes thoroughly revised chapters on matrix multiplication problems and parallel matrix computations, expanded treatment of CS decomposition, an updated overview of floating point arithmetic, a more accurate rendition of the modified Gram-Schmidt process, and new material devoted to GMRES, QMR, and other methods designed to handle the sparse unsymmetric linear system problem.
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All the comments and stories posted to Hacker News that reference this book.
I don't know how Matrix computations wasn't mentioned. When it comes to practical implementations of linear algebra concepts this book is your best friend. [1] http://www.amazon.com/Computations-Hopkins-Studies-Mathemati...
Wow. No one has mentioned the gospel according to Golub:

http://www.amazon.com/Computations-Hopkins-Studies-Mathemati...

This is the "how we wrote Lapack" book.

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Yes, Golub/van Loan is the bible. But Walkins's "Fundamentals of Matrix Computations" (http://www.amazon.com/o/asin/0470528338/) is much more accessible to self-learners.

For those who are just starting on this subject, I highly recommend that you rework the proofs for the bounds between the various matrix norms [1]. These bounds are the building blocks for most interesting analyses in matrix computations. And understanding these analyses are essential if you want to know which algorithm will work best for your problems.

[1]: http://en.wikipedia.org/wiki/Matrix_norm#Examples_of_norm_eq...

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