Extreme points of the Vandermonde determinant on surfaces implicitly determined by a univariate polynomial
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| Title | Extreme points of the Vandermonde determinant on surfaces implicitly determined by a univariate polynomial |
| Publication Type | Journal Article |
| Year of Publication | 2020 |
| Authors | Muhumuza, AKeikara, Lundengård, K, Österberg, J, Silvestrov, S, Mango, JMagero |
| Date Published | June 2020 |
| Abstract | A number of models from mathematics, physics, probability theory and statistics can be described in terms of Wishart matrices and their eigenvalues. The most prominent example being the Laguerre ensembles of the spectrum of Wishart matrix. We aim to express extreme points of the joint eigenvalue probability density distribution of a Wishart matrix using optimisation techniques for the Vandermonde determinant over certain surfaces implicitly defined by univariate polynomials. |
| URL | https://www.researchgate.net/publication/342288002_Optimization_of_the_Wishart_Joint_Eigenvalue_Probability_Density_Distribution_Based_on_the_Vandermonde_Determinant |
| DOI | 10.1007/978-3-030-41850-2_34 |