Tanay Saha

The row picture of least squares and symmedian coordinates

Nearest structured polynomial matrix having an eigenvalue with prescribed geometric multiplicity

This paper addresses the problem of determining the closest structured regular polynomial matrix to a given structured polynomial matrix having an eigenvalue that satisfies a constraint on its geometric multiplicity. Initially, we approach this problem for the linearly structured unimodular polynomial matrices without...

Nearest structured matrix having an eigenvalue with prescribed lower bounds of algebraic and geometric multiplicities

We study the problem of perturbing a given matrix X belonging to a subspace S of linearly structured real matrices of order n to its nearest counterpart Y=X+D, where D belongs to S and Y possesses an eigenvalue with prescribed lower bounds on its algebraic multiplicity and geometric multiplicity. The proposed framework...