This is kind of a follow-up question from this post: Gradient descent vs lm() function in R?
Is there any literature available for the QR decomposition concept involved in the
lm() function in R?
As Benjamin has commented (+1) the QR decomposition is extensively used and studied regarding its use for solving least squares problems. Book-wise I have used the following books in the past:
I think these books will probably cover most aspects one might care for regarding the usage QR decompositions for linear models. Please note that all three books mentioned do assume some basic knowledge of linear algebra (nothing hard-core); if you do not have that I recommend going through/looking up Introduction to Linear Algebra by Strang. It is quite manageable and gets you up to speed with what you will need for more advanced applications without being overly mathematical about it.
Ah, and this thread: Reference book for linear algebra applied to statistics? might also come in handy when looking for references.