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20202026
most citedOn the Cartan Decomposition for Classical Random Matrix Ensembles

4 citations · 4 across the 6 of their papers we have counts for

collaborators

6 papers

math.NA2026

Sampling Pfaffian point processes and the symplectic Arnoldi method

Alan Edelman, Sungwoo Jeong, Simeon Schaub

We present an exact sampling algorithm for Pfaffian point processes based on a skew-symmetric analogue of the Cholesky factorization. This algorithm enables efficient sampling of a…

math.PR2024

On the Limit of the Tridiagonal Model for -Dyson Brownian Motion

Alan Edelman, Sungwoo Jeong, Ron Nissim

In previous work, a description of the result of applying the Householder tridiagonalization algorithm to a GE random matrix is provided by Edelman and Dumitriu. The resulting t…

math-ph2023

The conditional DPP approach to random matrix distributions

Alan Edelman, Sungwoo Jeong

We present the conditional determinantal point process (DPP) approach to obtain new (mostly Fredholm determinantal) expressions for various eigenvalue statistics in random matrix t…

math.NA2021

On the structure of the solutions to the matrix equation

Alan Edelman, Sungwoo Jeong

We study the mathematical structure of the solution set (and its tangent space) to the matrix equation for a given square matrix . In the language of pure mathematics,…

math.NA2021

Fifty Three Matrix Factorizations: A systematic approach

Alan Edelman, Sungwoo Jeong

The success of matrix factorizations such as the singular value decomposition (SVD) has motivated the search for even more factorizations. We catalog 53 matrix factorizations, most…

math-ph2020★ 4 cited

On the Cartan Decomposition for Classical Random Matrix Ensembles

Alan Edelman, Sungwoo Jeong

We complete Dyson's dream by cementing the links between symmetric spaces and classical random matrix ensembles. Previous work has focused on a one-to-one correspondence between sy…