| Autor: |
Lundengård, Karl, Österberg, Jonas, Silvestrov, Sergei |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 2014, Vol. 1637, p627-636, 10p, 1 Color Photograph, 1 Diagram, 3 Graphs |
| Abstrakt: |
Various techniques for interpolation of data, moment matching in stochastic applications and various methods in numerical analysis can be described using Vandermonde matrices. For this reason the properties of the determinant of the Vandermonde matrix and related matrices are interesting. Here the extreme points of the Vandermonde determinant, and related determinants, on some simple surfaces such as the unit sphere are analyzed, both numerically and analytically. Some results are also visualized in various dimensions. The extreme points of the Vandermonde determinant are also related to the roots of certain orthogonal polynomials such as the Hermite polynomials. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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