13 citations · 42 across the 9 of their papers we have counts for
5 papers · 1 filter
Smallest Eigenvalue of Large Hankel Matrices at Critical Point: Comparing Conjecture With Parallelised Computation
Yang Chen, Jakub Sikorowski, Mengkun Zhu
We propose a novel parallel numerical algorithm for calculating the smallest eigenvalues of highly ill-conditioned matrices. It is based on the {\it LDLT} decomposition and involve…
The Smallest Eigenvalue of Large Hankel Matrices
Mengkun Zhu, Yang Chen, Niall Emmart +1
We investigate the large behavior of the smallest eigenvalue, , of an Hankel (or moments) matrix , generated b…
The Smallest Eigenvalue of Large Hankel Matrices Generated by a Deformed Laguerre Weight
Mengkun Zhu, Niall Emmart, Yang Chen +1
We study the asymptotic behavior of the smallest eigenvalue, , of the Hankel (or moments) matrix denoted by , with re…
On properties of a deformed Freud weight
Mengkun Zhu, Yang Chen
We study the recurrence coefficients of the monic polynomials orthogonal with respect to the deformed (also called semi-classical) Freud weight \begin{equation*} w_α(x;s,N…
Center of mass distribution of the Jacobi unitary ensembles: Painleve V, asymptotic expansions
Longjun Zhan, Gordon Blower, Yang Chen +1
In this paper, we study the probability density function, , of the center of mass of the finite Jacobi unitary ensembles with parameters and…