1 / 8

CMS Adam Rogers from IWMS-16 Windsor 1-3 June 2007

CMS Adam Rogers from IWMS-16 Windsor 1-3 June 2007. Slides 42-46 (43-44 coloured by Ian Cameron). N.B.

teague
Download Presentation

CMS Adam Rogers from IWMS-16 Windsor 1-3 June 2007

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. CMS Adam Rogers from IWMS-16 Windsor 1-3 June 2007 Slides 42-46 (43-44 coloured by Ian Cameron)

  2. N.B. • The compound magic square contribution of Adam Rogers was not included in the conference publication in Linear Algebra and Its Applications 2009 as it was intended for a fuller follow-up.

  3. Science in the Universe of theMatrix Elements 1..n2Windsor 2007 June 1-3 (In preparation) Peter Loly & Ian Cameron With Adam Rogers, Daniel Schindel and Walter Trump With Walter Trump, Adam Rogers & Daniel Schinde Critical funding from the Winnipeg Foundation in 2003.

  4. Compound Squares • Wayne Chan & Peter Loly, Mathematics Today 2002 • Harm Derksen, Christian Eggermont, Arno van den Essen, Am. Math. Monthly (in press) • Matt Rempel, Wayne Chan, and Peter Loly • Adam Rogers’ Kronecker product

  5. Compounded Lo-shu(1275 Yang Hui; Cammann)

  6. Second Compound Method(1275 Yang Hui; Cammann)

  7. Kronecker Product • For 2nd order A, any B

  8. 2004 Adam Rogers(4th year Quantum Mechanics) • EN is Nth order square of 1’s • AM and BN are Mth and Nth order squares • Associative Compounding: • RA = EMBN + Nk (AM EN) • Distributive Compounding: • RD = BNEM + Nk (EN AM) • Given the EVs and SVDs of A and B, Rogers can find those for both compound methods • (k=2 for squares, 3 for cubes, etc.,)

More Related