1 citations · 1 across the 4 of their papers we have counts for
6 papers
Solving matrix nearness problems via Hamiltonian systems, matrix factorization, and optimization
Nicolas Gillis, Punit Sharma
In these lectures notes, we review our recent works addressing various problems of finding the nearest stable system to an unstable one. After the introduction, we provide some pre…
Optimizing Rayleigh quotient with symmetric constraints and their applications to perturbations of the structured polynomial eigenvalue problem
Anshul Prajapati, Punit Sharma
For a Hermitian matrix and symmetric matrices , we consider the problem of computing the supremum of $\left\{ \frac…
Estimation to structured distances to singularity for matrix pencils with symmetry structures: A linear algebra-based approach
Anshul Prajapati, Punit Sharma
We study the structured distance to singularity for a given regular matrix pencil , where . This includes Hermitian, skew-He…
Tensionless Tales: Vacua and Critical Dimensions
Arjun Bagchi, Mangesh Mandlik, Punit Sharma
Recently, a careful canonical quantisation of the theory of closed bosonic tensionless strings has resulted in the discovery of three separate vacua and hence three different quant…
BMS Field Theories and Weyl Anomaly
Arjun Bagchi, Sudipta Dutta, Kedar S. Kolekar +1
Two dimensional field theories with Bondi-Metzner-Sachs symmetry have been proposed as duals to asymptotically flat spacetimes in three dimensions. These field theories are natural…
Minimal-norm static feedbacks using dissipative Hamiltonian matrices
Nicolas Gillis, Punit Sharma
In this paper, we characterize the set of static-state feedbacks that stabilize a given continuous linear-time invariant system pair using dissipative Hamiltonian matrices. This ch…