Books for Numerical linear algebra
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.
Take a preview at http://tinyurl.com/6tskfks,
and also this.
I would also look at the resource Maplesoft has here
Numerical Recipes 3rd Edition: The Art of Scientific Computing