The Department of Mathematics at University of Wisconsin - Madison announces
the
Fourth Annual Lecture in the series Linear Algebra and Its Applications:
Iterative Methods for Solving Linear
Systems
given by
Prof. Gene Golub
4:00 PM, Friday, May 7, 1999
B239 Van Vleck Hall
There will be a reception following the lecture, in the 9th
floor lounge in Van Vleck Hall.
The Department of Mathematics at the University of Wisconsin - Madison announces
the fourth annual lecture in the series related to the Elsevier journal Linear Algebra
and Its Applications which has been based at UW-Madison for many years:
Abstract:
We discuss several problems in connection with solving linear systems. First, we
consider various pre-conditioners for solving a variety of problems. This includes
pre-conditioners for solving indefinite systems, and non-symmetric problems, especially
when the skew-symmetric part of the matrix is dominant. Next, we describe the use of inner
and outer iteration methods for solving problems where it is not possible to solve the
equations using the pre-conditioner exactly. We attempt to restore the rate of convergence
of the problem. Finally, we analyze the convergence properties of a method when the
initial vector is considered to be a random vector. We give some numerical
examples.
About the speaker:
Gene H. Golub was born in Chicago on Feb. 29, 1932. He was educated in the Chicago public
school system. He attended the Univerity of Illinois where he received his doctorate in
1959. Subsequently, he held an NSF Fellowship at the University of Cambridge. He joined
the faculty of Stanford University in 1962 where he is currently the Fletcher Jones
Professor of Computer Science and a founder of the program in Scientific Computing and
Computational Mathematics. He served as chairman of the CS department from 1981 until
1984.
Prof. Golub is noted for his work in the use of numerical methods in linear
algebra for solving scientific and engineering problems. This work has resulted in a book,
Matrix Computations, co-authored with Charles Van Loan.
Prof. Golub has served as President of the Society of Industrial and Applied
Mathematics (1985-87). He is the founding editor of two SIAM journals, The SIAM Journal of
Scientific and Statistical Computing and The SIAM Journal of Matrix Analysis and
Applications. He is the originator of na-net and can be reached by e-mail as
na.golub@na-net.stanford.edu.
Prof. Golub holds several honorary degrees, is a member of the The National
Academy of Engineering, the National Academy of Sciences and the American Academy of
Sciences.
Van Vleck Hall is the mathematics building on the UW-Madison Campus. Rooms with numbers
of the form Bxxx are in the classroom section in the basement of the building.
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