Eunice Y. S. Chan

activity

20162021

most citedMinimal height companion matrices for Euclid polynomials

7 citations · 25 across the 9 of their papers we have counts for

collaborators

12 papers

math.HO2021★ 3 cited

Computational Discovery with Newton Fractals, Bohemian Matrices, & Mandelbrot Polynomials

Neil J. Calkin, Eunice Y. S. Chan, Robert M. Corless

The authors have been using a largely algebraic form of ``computational discovery'' in various undergraduate classes at their respective institutions for some decades now to teach…

math.DS2021★ 3 cited

A Fractal Eigenvector

Neil J. Calkin, Eunice Y. S. Chan, Robert M. Corless +2

The recursively-constructed family of Mandelbrot matrices $M_{n}$ for $n = 1$ , $2$ , $\dots$ have nonnegative entries (indeed just $0$ and $1$ , so each $M_{n}$ can be called a binary mat…

math.HO2020★ 2 cited

Chaos Game Representation

Eunice Y. S. Chan, Robert M. Corless

The chaos game representation (CGR) is an interesting method to visualize one-dimensional sequences. In this paper, we show how to construct a chaos game representation. The applic…

math.HO2020★ 4 cited

Teaching Programming for Mathematical Scientists

Jack Betteridge, Eunice Y. S. Chan, Robert M. Corless +2

Over the past thirty years or so the authors have been teaching various programming for mathematics courses at our respective Universities, as well as incorporating computer algebr…

cs.SC2019

Upper Hessenberg and Toeplitz Bohemians

Eunice Y. S. Chan, Robert M. Corless, Laureano Gonzalez-Vega +2

We look at Bohemians, specifically those with population ${- 1, 0, + 1}$ and sometimes ${0, 1, i, - 1, - i}$ . More, we specialize the matrices to be upper Hessenberg Bohemian. From t…

cs.SC2018★ 2 cited

Bohemian Upper Hessenberg Toeplitz Matrices

Eunice Y. S. Chan, Robert M. Corless, Laureano Gonzalez-Vega +3

We look at Bohemian matrices, specifically those with entries from ${- 1, 0, + 1}$ . More, we specialize the matrices to be upper Hessenberg, with subdiagonal entries $1$ . Even mo…

cs.SC2018★ 2 cited

Bohemian Upper Hessenberg Matrices

Eunice Y. S. Chan, Robert M. Corless, Laureano Gonzalez-Vega +3

We look at Bohemian matrices, specifically those with entries from ${- 1, 0, + 1}$ . More, we specialize the matrices to be upper Hessenberg, with subdiagonal entries $\pm 1$ . Many…

math.NA2018

Algebraic Linearizations of Matrix Polynomials

Eunice Y. S. Chan, Robert M. Corless, Laureano Gonzalez-Vega +2

We show how to construct linearizations of matrix polynomials $z a (z) d_{0} + c_{0}$ , $a (z) b (z)$ , $a (z) + b (z)$ (when $\mat…

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.HO2018

A random walk through experimental mathematics

Eunice Y. S. Chan, Robert M. Corless

We describe our adventures in creating a new first-year course in Experimental Mathematics that uses active learning. We used a state-of-the-art facility, called The Western Active…

math.NA2017★ 7 cited

Minimal height companion matrices for Euclid polynomials

Eunice Y. S. Chan, Robert M. Corless

We define Euclid polynomials $E_{k + 1} (λ) = E_{k} (λ) (E_{k} (λ) - 1) + 1$ and $E_{1} (λ) = λ + 1$ in analogy to Euclid numbers $e_{k} = E_{k} (1)$ . We show how to construct comp…

math.CO2016★ 1 cited

Narayana, Mandelbrot, and A New Kind of Companion Matrix

Eunice Y. S. Chan, Robert M. Corless

We demonstrate a new kind of companion matrix, for polynomials of the form $c (λ) = λa (λ) b (λ) + c_{0}$ where upper Hessenberg companions are known for the polynomials $a (λ)$ and $b(λ)…