Fundamentals of matrix computations
by David S. Watkins · first published 1991
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A significantly revised and improved introduction to a critical aspect of scientific computation Matrix computations lie at the heart of most scientific computational tasks. For any scientist or engineer doing large-scale simulations, an understanding of the topic is essential. Fundamentals of Matrix Computations, Second Edition explains matrix computations and the accompanying theory clearly and in detail, along with useful insights. This Second Edition of a popular text has now been revised and improved to appeal to the needs of practicing scientists and graduate and advanced undergraduate
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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…
on “Surprises from numerical linear algebra (2010)” ↗I'd also recommend Fundamentals of Matrix Computations by Watkins for a great introduction. It helped immensely when I had to teach myself matrix algorithms as part of my undergraduate research. https://www.amazon.com/Fundamentals-Matrix-Computations-Davi...
on “LU Factorization and Linear Systems for Programers” ↗…nine yards really starting with linear algebra 101 and culminating with numerical linear algebra their treatment of numerical linear algebra is not as comprehensive as say the one you'd find in Watkins' Fundamentals of Matrix Computations but it's free
on “Seven sins of numerical linear algebra” ↗