3 papers
cs.SC2019
New practical advances in polynomial root clustering
Rémi Imbach, Victor Y. Pan
We report an ongoing work on clustering algorithms for complex roots of a univariate polynomial of degree with real or complex coefficients. As in their previous best subdi…
cs.SC2019
Polynomial root clustering and explicit deflation
Rémi Imbach, Victor Y. Pan
We seek complex roots of a univariate polynomial with real or complex coefficients. We address this problem based on recent algorithms that use subdivision and have a nearly op…
math.NA2012
More on the Power of Randomized Matrix Computations
Victor Y. Pan, Guoliang Qian
A random matrix is likely to be well conditioned, and motivated by this well known property we employ random matrix multipliers to advance some fundamental matrix computations. Thi…