I believe I've figured out what was confusing me. The notation used in Golub/Van Loan is referred to as "block matrix notation".
If only there was some sort of... universal math notation that didn't rely on per-topic experience and context clues... ;) - Rowan On Tue, Apr 28, 2020 at 9:04 PM Ala'a Mohammad <amal...@gmail.com> wrote: > Hi, > > I assumed that same technique can be used for QR algorithm. check the > algorithm section. > > Regards, > > Ala'a > > On Wed, Apr 29, 2020 at 12:54 AM Rowan Cannaday <cannad...@gmail.com> > wrote: > >> Thank you. The Cholesky decomposition is related but not what I'm >> implementing at the moment. However this will likely be useful in the >> future. >> >> Even the name "QR algorithm" seems to be something of a misnomer. From >> the wikipedia page: >> >> " in the modern implicit version of the procedure no QR decompositions >> <https://en.m.wikipedia.org/wiki/QR_decomposition> are explicitly >> performed, some authors, for instance Watkins,[8] >> <https://en.m.wikipedia.org/wiki/QR_algorithm#cite_note-8> suggested >> changing its name to *Francis algorithm"* >> >> *https://en.wikipedia.org/wiki/QR_algorithm >> <https://en.wikipedia.org/wiki/QR_algorithm>* >> >> - Rowan >> >> On Tue, Apr 28, 2020, 4:37 PM Ala'a Mohammad <amal...@gmail.com> wrote: >> >>> Hi, >>> >>> This may be related: >>> https://www.dyalog.com/blog/2015/01/cholesky-decomposition/ >>> >>> HiH. >>> >>> Regards, >>> >>> Ala'a >>> >>> On Wed, Apr 29, 2020 at 12:24 AM Rowan Cannaday <cannad...@gmail.com> >>> wrote: >>> >>>> Is anybody familiar with the QR algorithm, or the notation used in >>>> Golub & Van Loan's book "Matrix Computations"? >>>> >>>> I am working my way towards building an APL linear algebra toolkit, and >>>> am having trouble deciphering what some of the steps signify. >>>> >>>> Any other communities that might be able to assist me is also helpful - >>>> for example a mailing list. >>>> >>>> The 4th edition should be available as a PDF online (although I will >>>> not link to it), and my specific question is linked below: >>>> >>>> https://math.stackexchange.com/questions/3648588/implementing-qr-algorithm-from-golub-van-loans-matrix-computations-notati >>>> >>>> Figured it would be worth a shot. >>>> >>>> Cheers y'all. >>>> >>>> - Rowan >>>> >>>
