A Tutorial Overview of Vector and Matrix Norms (part I): Scientific Computing and Matrix Computations Seminar

Seminar: Departmental | October 10 | 12:10-1 p.m. | 380 Soda Hall

Speaker/Performer: W. Kahan, Prof. Emeritus, UC-Berkeley

Sponsor: Electrical Engineering and Computer Sciences (EECS)

Intended for new graduate students whose experience as undergraduates may have prepared them inadequately to apply norms to numerical error-analyses and to proofs of convergence, this tutorial surveys norms for finite-dimensional real spaces in a way that may ease a transition to the infinite-dimensional spaces of Functional Analysis.
The tutorial's notation is mostly standard but interpreted in ways not always taught to undergraduates. Among the overview's topics are some more useful than implied by their absence from most curricula. Attendees may prepare for the tutorial by reading just a few of my lecture notes for Math. H110 posted at
www.eecs.berkeley.edu/~wkahan/MathH110/2dspaces.pdf and .../pts.pdf in that order, and afterwards .../geo.pdf and .../geos.pdf skimmed lightly.
This tutorial omits proofs; almost all can be found in .../NORMlite.pdf, .../GIlite.pdf, and a few other places cited.
This tutorial's pages have been posted at www.eecs.berkeley.edu/~wkahan/MathH110/NormOvrv.pdf

Event Contact: odedsc@cs.berkeley.edu, 510-516-4321