activity
20162022
most citedThe singular bivariate quartic tracial moment problem

5 citations · 9 across the 4 of their papers we have counts for

collaborators

5 papers

math.OC2022★ 4 cited

Communication-Censored-ADMM for Electric Vehicle Charging in Unbalanced Distribution Grids

Abhishek Bhardwaj, Wilhiam de Carvalho, Nanduni Nimalsiri +2

We propose an alternating direction method of multipliers (ADMM)-based algorithm for coordinating the charge and discharge of electric vehicles (EVs) to manage grid voltages while…

math.OC2021

Noncommutative Polynomial Optimization

Abhishek Bhardwaj, Igor Klep, Victor Magron

In this chapter we present the sums of Hermitian squares approach to noncommutative polynomial optimization problems. This is an extension of the sums of squares approach for polyn…

math.OC2021

The Constant Trace Property in Noncommutative Optimization

Ngoc Hoang Anh Mai, Abhishek Bhardwaj, Victor Magron

In this article, we show that each semidefinite relaxation of a ball-constrained noncommutative polynomial optimization problem can be cast as a semidefinite program with a constan…

math.FA2020

The Tracial Moment Problem on Quadratic Varieties

Abhishek Bhardwaj, Aljaz Zalar

The truncated moment problem asks to characterize finite sequences of real numbers that are the moments of a positive Borel measure on Rn. Its tracial analog is obtained by integra…

math.FA2016★ 5 cited

The singular bivariate quartic tracial moment problem

Abhishek Bhardwaj, Aljaž Zalar

The (classical) truncated moment problem, extensively studied by Curto and Fialkow, asks to characterize when a finite sequence of real numbers indexes by words in commuting variab…