List of journals. There are many interesting recent papers to choose from.
Necessary and sufficient conditions for accurate and efficient rational
function evaluation and factorizations of rational matrices, P. Koev and
J. Demmel,
a link is found here
Sparse SOS Relaxations for Minimizing Functions that are Summations of
Small Polynomials, by J. Nie and J. Demmel,
a link is found here
(Nie will be giving a talk in the Math Dept. later this quarter.)
Random Matrix Theory, by Alan Edelman and Raj Rao, Acta Numerica 14(2005), 233-297
Acta Numerica Issue ...
pdf file
Orthogonal Eigenvectors and Relative Gaps," by
Dhillon and Parlett, SIAM J. Matrix Anal. Appl., vol. 25, no. 3,
pp. 858-899, 2004
journal
Accurate Computations with Totally Nonnegative Matrices, by Plamen Koev,
pdf file
Schedule:
Jan. 10: Organizational meeting
Jan. 17: Jason Slemons, on "Orthogonal Eigenvectors and Relative Gaps" by
Inderjit Dhillon and Beresford Parlett, SIAM Journal on Matrix Analysis and
Applications, vol. 25, no. 3 (2004), pp. 858-899 ...link
Jan. 24: Anne Greenbaum, on "Closest Normal Matrix Finally Found!"
by Axel Ruhe, BIT, vol. 27, no. 4 (Oct. 1987), pp. 585-598.
... ps file
Jan. 31: no meeting
Feb. 7 & Feb. 14: Ioana Dumitriu, on "Random Matrix Theory" by Alan Edelman and Raj Rao, Acta Numerica
(2005), pp. 1-65 ...link - This
talk will start as a tutorial on random matrices and will culminate into a survey
of recent results. (may possibly take a third week)
Feb. 21: TBA
Feb. 28: TBA
Mar. 7: Donna Calhoun, on finite volume schemes for solving elliptic
and parabolic equations on mapped Cartesian grids. There are two papers which go along with this topic:
(1) "A Finite Vlume Method for the Approximation of Diffusion Operators on Distorted Meshes" by F.
Hermeline, JCP
Volume 160, Issue 2, May 2000, pp. 481-499
(2) "Analysis of the Cell-Centered Finte Volume Method for the
Diffusion Equation" by W.P. Jones and K.R. Menzies, JCP Volume 165, Issue 1, November 2000, pp. 45-68
