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LINEAR ALGEBRA AND ITS APPLICATIONS 

Special issue on Large Scale Linear and Nonlinear Eigenvalue Problems. 

CALL FOR PAPERS: 

In many different application areas there is an increasing and
pressing need for new theory and numerical techniques for solving very
large linear and nonlinear eigenvalue problems. 

Recent advances in computer hardware make it feasible to solve
enormously large eigenvalue problems with millions of unknowns, 
but this increase in the problem size leads to several new numerical 
challenges. First, classical
eigenvalue solvers that do not scale linearly with the problem size
have become very expensive for practical problems. This has increased 
attention to alternative approaches such as preconditioning for
eigenvalue problems.
Secondly, due to the architecture of modern computers, there is a
demand for parallel algorithms that are well scalable with respect to 
the number of computing nodes. Moreover the growth of the problem size
often leads to badly
conditioned problems, which require increased algorithm stability and 
novel tools to estimate the accuracy of computed eigenvalues and
eigenvectors. In some large-scale applications, one needs to find
eigenpairs of a matrix that
is available only implicitly through a function that computes the 
corresponding vector-matrix product for a given vector, which thus 
calls for "matrix-free" eigensolvers. 

This special issue will be open for all papers with significant 
new results in Large Scale Linear and Nonlinear Eigenvalue Problems 
where either linear algebraic methods play an important role or new 
tools and problems of linear
algebraic nature are presented. In addition, surveys papers are very 
welcome, in particular on specific application areas where the
eigenvalue problems are especially challenging because of the large size. 

Papers must meet the publication standards of 
Linear Algebra and Its Applications and will be refereed in the usual way. 

The deadline for submission of papers is March 31, 2003, 
and the special issue is expected to be published in 2004. 
Papers should be sent to any of its special editors, 
preferably by email in the PostScript format: 

 Zhaojun Bai 
 Dept. of Computer Science 
 University of California 
 One Shields Avenue 
 Davis, CA 95616 
 USA 
 bai@cs.ucdavis.edu 
 Phone: +1-530-752-4874 
 Fax: +1-530-752-4767 

 Andrew Knyazev 
 Department of Mathematics 
 University of Colorado at Denver 
 P.O. Box 173364, Campus Box 170 
 Denver, CO 80217-3364. 
 USA 
 andrew.knyazev@cudenver.edu 
 Phone: +1-303-556-8442 
 Fax: +1-303-556-8550 
 
                                                              
 Henk A. Van der Vorst 
 Mathematical Institute 
 Utrecht University 
 Mailbox 80.010 
 3508 TA UTRECHT
 The Netherlands 
 vorst@math.uu.nl 
 Phone: +31-30-2533732
 Fax: +31-30-2518394 


The responsible editor-in-chief of the special issue is:

Volker Mehrmann
Institut f. Mathematik, MA 4-5
TU Berlin
Strasse des 17. Juni 136
D-10623 Berlin
Germany
e-mail: mehrmann@math.tu-berlin.de