Call for Papers
Special Issue of Journal of Symbolic Computation
on Symbolic-Numeric Algebra for Polynomials

Within the area of Scientific Computing, the results of algebraic problems are often needed in numerical form to a specified accuracy. Some of the data of such problems (e.g. coefficients of polynomials) may be exact while others may be known only within a given tolerance.

In such situations, the usual concepts and algorithms of computer algebra are not immediately applicable. Appropriate approaches must utilize ideas and algorithmic techniques from numeric computation together with standard and possibly extended procedures from classical computer algebra. The emerging area of mathematics dealing with this situation may be thought of as "numerical nonlinear algebra", in analogy with the well-known area of "numerical linear algebra".

While some work in this field had already begun in the 1980s, activities have recently been growing in depth and breadth. This summer the workshop SNAP 96, held at INRIA Sophia Antipolis (France), brought a focus to the area of symbolic-numeric algebra for polynomials. The literature in this area has appeared in various locations, but has until now been quite dispersed and difficult to locate. It appears timely to collect some outstanding results of this development into a special issue of the Journal of Symbolic Computation.

We invite submissions for this special issue on Symbolic-Numeric Algebra for Polynomials. Such papers should contribute to the understanding of the inter- action of symbolic and numeric computing. Their results should be relevant for the design of algorithms for the solution of related problems and the computer implementation of such algorithms. Relevant topics include, but are not restricted to:

Manuscripts should be submitted to either one of the two guest-editors who will handle the preparation of this special issue.

Deadline for submission of full papers: 31 March, 1997
Notification of acceptance/rejection: 30 June, 1997
Final revised manuscripts due: 30 September, 1997
Appearance of special issue: early in 1998

Guest editors:

Stephen Watt
IBM T.J. Watson Research Center
P.O.Box 218, Yorktown Heights NY 10598 USA

Hans J. Stetter
Technical University
A-1040 Vienna, Austria

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