Robert M Corless

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20112022

most citedStieltjes, Poisson and other integral representations for functions of Lambert

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4 citations · 13 across the 8 of their papers we have counts for

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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.NA2020★ 3 cited

Inverse Cubic Iteration

Robert M. Corless

There are thousands of papers on rootfinding for nonlinear scalar equations. Here is one more, to talk about an apparently new method, which I call ``Inverse Cubic Iteration'' (ICI…

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

Compact Finite Differences and Cubic Splines

Robert M. Corless

In this paper I uncover and explain---using contour integrals and residues---a connection between cubic splines and a popular compact finite difference formula. The connection is t…

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…