| EPSRC Reference: |
EP/D053889/1 |
| Title: |
A visit to Stanford University, California, USA |
| Principal Investigator: |
Winkler, Dr J |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Computer Science |
| Organisation: |
University of Sheffield |
| Scheme: |
Overseas Travel Grants Pre-FEC |
| Starts: |
24 October 2005 |
Ends: |
23 January 2006 |
Value (£): |
4,100
|
| EPSRC Research Topic Classifications: |
| Design & Testing Technology |
|
|
| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
|
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
The determination of the roots of a polynomial occurs frequently in geometric modelling, but it is known that their computation is difficult when the polynomial is of high degree and/or the roots have high multiplicity. In 1972 Professor Kahan (University of California, Berkeley) showed that it is possible to compute the roots of high degree polynomials by the method of pejorative manifolds, and the first computational implementation of this method was performed by Zeng (Northeastern Illinois University) in 2004. Dr Winkler and his PhD student are researching the application of this method to Bernstein polynomials in order to assess its use for geometric modelling. Professor Gene Golub of Stanford University, USA, has expressed an interest in this work and invited Dr Winkler and Mr Allan to visit him and investigate: (a) The method of pejorative manifolds for constructing stable, rank-reduced Bezout resultant matrices for Bernstein polynomials.(b) A comparison of two different techniques that can be used to implement the method of pejorative manifolds.
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.shef.ac.uk |