5 citations · 11 across the 10 of their papers we have counts for
13 papers
Finite Free Information Inequalities
Jorge Garza-Vargas, Nikhil Srivastava, Zachary Stier
We develop finite free information theory for real-rooted polynomials, establishing finite free analogues of entropy and Fisher information monotonicity, as well as the Stam and en…
A new approach to strong convergence II. The classical ensembles
Chi-Fang Chen, Jorge Garza-Vargas, Ramon van Handel
The first paper in this series introduced a new approach to strong convergence of random matrices that is based primarily on soft arguments. This method was applied to achieve a re…
A new approach to strong convergence
Chi-Fang Chen, Jorge Garza-Vargas, Joel A. Tropp +1
A family of random matrices is said to converge strongly to a family of bounded operators when $\|P(\bolds…
A Useful Formula for Periodic Jacobi Matrices on Trees
Jess Banks, Jonathan Breuer, Jorge Garza Vargas +2
We introduce a function of the density of states for periodic Jacobi matrices on trees and prove a useful formula for it. This allows new, streamlined proofs of the gap labeling an…
Global Convergence of Hessenberg Shifted QR II: Numerical Stability
Jess Banks, Jorge Garza-Vargas, Nikhil Srivastava
We develop a framework for proving rapid convergence of shifted QR algorithms which use Ritz values as shifts, in finite arithmetic. Our key contribution is a dichotomy result whic…
Global Convergence of Hessenberg Shifted QR III: Approximate Ritz Values via Shifted Inverse Iteration
Jess Banks, Jorge Garza-Vargas, Nikhil Srivastava
We give a self-contained randomized algorithm based on shifted inverse iteration which provably computes the eigenvalues of an arbitrary matrix up to b…
Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic
Jess Banks, Jorge Garza-Vargas, Nikhil Srivastava
Rapid convergence of the shifted QR algorithm on symmetric matrices was shown more than fifty years ago. Since then, despite significant interest and its practical relevance, an un…
Spectral asymptotics for contracted tensor ensembles
Benson Au, Jorge Garza-Vargas
Let be a random real symmetric Wigner-type tensor. For unit vectors , we…
Finite Free Cumulants: Multiplicative Convolutions, Genus Expansion and Infinitesimal Distributions
Octavio Arizmendi, Jorge Garza-Vargas, Daniel Perales
Given two polynomials of degree , we give a combinatorial formula for the finite free cumulants of . We show that this formula admits a topolo…
Point Spectrum of Periodic Operators on Universal Covering Trees
Jess Banks, Jorge Garza-Vargas, Satyaki Mukherjee
For any multi-graph with edge weights and vertex potential, and its universal covering tree , we completely characterize the point spectrum of operators $A_{\mathc…
Pseudospectral Shattering, the Sign Function, and Diagonalization in Nearly Matrix Multiplication Time
Jess Banks, Jorge Garza-Vargas, Archit Kulkarni +1
We exhibit a randomized algorithm which given a matrix with and , computes with high probability an invertible and diagonal …
The Lanczos Algorithm Under Few Iterations: Concentration and Location of the Output
Jorge Garza-Vargas, Archit Kulkarni
We study the Lanczos algorithm where the initial vector is sampled uniformly from . Let be an Hermitian matrix. We show that when run for few ite…
Polytopality of Maniplexes
Jorge Garza-Vargas, Isabel Hubard
Given an abstract polytope , its flag graph is the edge-coloured graph whose vertices are the flags of and the -edges correspond to -adjacent flags. Flag gra…