27 citations · 49 across the 11 of their papers we have counts for
14 papers
Unified framework for Fiedler-like strong linearizations of polynomial and rational matrices
Ranjan Kumar Das, Harish K. Pillai
Linearization is a widely used method for solving polynomial eigenvalue problems (PEPs) and rational eigenvalue problem (REPs) in which the PEP/REP is transformed to a generalized…
Permutation Polynomials of : A Linear Algebraic Approach
Megha M. Kolhekar, Harish K. Pillai
In this paper, we present a linear algebraic approach to the study of permutation polynomials that arise from linear maps over a finite field . We study a particu…
A Classification of Permutation Polynomials through Some Linear Maps
Megha M. Kolhekar, Harish K. Pillai
In this paper, we propose linear maps over the space of all polynomials in that map to itself, through their evaluation map. Properties of these linear…
Yet another approach to the Algebraic Riccati Inequality
A. Sanand Amita Dilip, Harish K. Pillai
We give a rank characterization of the solution set of algebraic Riccati inequality (ARI) for both controllable and uncontrollable systems. Assuming an existence of a solution of t…
A Complete Characterization of Determinantal Quadratic Polynomials
Papri Dey, Harish K. Pillai
The problem of expressing a multivariate polynomial as the determinant of a monic (definite) symmetric or Hermitian linear matrix polynomial (LMP) has drawn a huge amount of attent…
Novel representation of discrete n-D autonomous systems
Debasattam Pal, Harish K. Pillai
In this paper we address the problem of representing solutions of a system of scalar linear partial difference equations akin to state space equations of 1-D systems theory. We fir…