Linear Algebra:Foundations to Frontiers -
Notes on Numerical Linear Algebra

An e-book that integrates the notes, answers to exercises, and a few (full lecture) videos created for an introductory graduate course on Numerical Linear Algebra taught by Robert van de Geijn at The University of Texas at Austin. The author is an expert and active researcher in the field who has published significant state-of-the-art papers on almost all subjects covered by the book. This material dovetails with the undergraduate text Linear Algebra: Foundations to Frontiers - Notes to LAFF With.

The undergraduate level Linear Algebra: Foundations to Frontiers materials were carefully designed to be an online course. It took a year of hard work on the part of several authors to design that course, create a book, and produce 250+ videos. In contrast, the graduate course is an ongoing project where Robert simply taped his lectures with a camera and made the same materials available to the world as he makes available to his own students. For some lectures, he forgot to turn on the camera... The real value is in his notes, LAFF - Notes on Numerical Linear Algebra, which has been an ongoing project for several years. Still, these are also a work in progress. In other words, these materials have not received the same level of tender loving care as their counter parts for LAFF - Notes to LAFF With.

Who should LAFF some more?

Here are some people who may want to consider Linear Algebra: Foundations to Frontiers - Notes on Numerical Linear Algebra:

If you are still trying to decide whether these materials are for you, you can simply download some of the materials and see!

Ready to LAFF at the graduate level?

Please consider "pick your price"

  • Publication of these materials is self-funded by the authors.
  • We don't think videos of full length lectures is as effective as the kind of short videos incorporated in LAFF - Notes to LAFF With. You contributions may just convince us to improve the videos and create online activities.
  • Pick your price! You determine what LAFF is worth to you.
  • Thank you!

If you reside OUTSIDE Texas (no sales tax!):

If you reside in Texas (sales tax!):

For free

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  • Can't afford a contribution? Pay forward! Donate something small to a local charity, tutor someone in linear algebra, do something good for the world.
  • It is a work in progress! It is ok to wait to pay until it becomes more refined.
  • Already bought a copy and want a newer release? Help yourself!
  • Some might think LAFF is priceless and that it would be wrong to put a price on it.

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Need to LAFF Less?

The above introductory graduate materials assume an undergraduate background in linear algebra. If you find you are not quite ready, consider Linear Algebra: Foundations to Frontiers - Notes to LAFF With.