Leili Rafiee Sevyeri

activity

20182025

collaborators

7 papers

math.RA2025

On Parametric Linear System Solving

Robert M. Corless, Mark Giesbrecht, Leili Rafiee Sevyeri +1

Parametric linear systems are linear systems of equations in which some symbolic parameters, that is, symbols that are not considered to be candidates for elimination or solution i…

cs.SC2022

Bohemian Matrix Geometry

Robert M. Corless, George Labahn, Dan Piponi +1

A Bohemian matrix family is a set of matrices all of whose entries are drawn from a fixed, usually discrete and hence bounded, subset of a field of characteristic zero. Originally…

math.NA2021

Approximate GCD in Lagrange bases

Leili Rafiee Sevyeri, Robert M. Corless

For a pair of polynomials with real or complex coefficients, given in any particular basis, the problem of finding their GCD is known to be ill-posed. An answer is still desired fo…

math.NA2021

Equivalences for Linearizations of Matrix Polynomials

Robert M. Corless, Leili Rafiee Sevyeri, B. David Saunders

One useful standard method to compute eigenvalues of matrix polynomials $P (z) \in C^{n \times n} [z]$ of degree at most $ℓ$ in $z$ (denoted of grade $ℓ$ , for sho…

math.NA2019

Approximate GCD in a Bernstein basis

Robert M. Corless, Leili Rafiee Sevyeri

We adapt Victor Y. Pan's root-based algorithm for finding approximate GCD to the case where the polynomials are expressed in Bernstein bases. We use the numerically stable companio…

math.NA2018

Generalized Standard Triples for Algebraic Linearizations of Matrix Polynomials

Eunice Y. S. Chan, Robert M. Corless, Leili Rafiee Sevyeri

We define \emph{generalized standard triples} $X$ , $Y$ , and $L (z) = z C_{1} - C_{0}$ , where $L (z)$ is a linearization of a regular matrix polynom…