Leili Rafiee Sevyeri

activity

20182025

most citedOn Parametric Linear System Solving

4 citations · 5 across the 6 of their papers we have counts for

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5 papers · 1 filter

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★ 1 cited

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…

math.NA2018

The Runge Example for Interpolation and Wilkinson's Examples for Rootfinding

Robert M. Corless, Leili Rafiee Sevyeri

We look at two classical examples in the theory of numerical analysis, namely the Runge example for interpolation and Wilkinson's example (actually two examples) for rootfinding. W…