Applied numerical linear algebra
by James W. Demmel · first published 1997
6mentions
4recommended by
4HN commenters
2010–2020first – last mentioned
100% recommend
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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…
on “LU Factorization and Linear Systems for Programers” ↗…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…
on “The best linear algebra books” ↗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.
on “Numerical Linear Algebra for Programmers” ↗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.…
on “Don't invert that matrix” ↗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…
on “Don’t invert that matrix (2010)” ↗…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.
on “Help Advance the World with Advanced Linear Algebra” ↗