NM&A'98

Solving Linear Systems with Error Control

Organizers

Ch. Ullrich
Institute of Informatics, University of Basel, 142 Mittlere Str., Basel, Switzerland
ullrich@ifi.unibas.ch

S.Markov, N.Dimitrova
Institute of Mathematics and Computer Sci., Bulgarian Academy of Sciences, "Acad.G.Bonchev" st., bl.8, BG-1113 Sofia, BULGARIA
smarkov@iph.bio.acad.bg , nelid@iph.bio.acad.bg

Annotation

The Minisymposium is devoted to various aspects of reliable numerical computation for linear algebra problems and related topics. The talks will present different approaches to solving linear problems, such as error estimation, verification techniques, construction of interval and two-sided algorithms etc.

Presentations

N.S. Dimitrova, On a Verification Algorithm for Tridiagonal Circulant Symmetric Linear Systems
G. Heindl, An improvement of the componentwise error estimate corresponding to a well-known inclusion result for solutions of systems of linear equations
S. Markov, On the Algebraic Solution to Interval Equations
R.L. Mullen and R. Muhanna, Interval-Based Finite Element Methods
C.P. Ullrich, Improving Error Estimation in Linear System Solving
M. Lerch and J. Wolff von Gudenberg, Parallel Accurate Linear Algebra in Java
J.A. Zarnan, I.G. Ivanov and M.G. Petkov, Two-sided iteration methods for matrix inversion