3 citations · 3 across the 13 of their papers we have counts for
6 papers · 1 filter
A -step generalization of the Q-order of convergence
Gabriel Jarry-Bolduc
The notion of Q-order convergence is arguably the most important tool for describing the asymptotic behavior of a convergent sequence. Loosely speaking, it captures the``speed''of…
Using generalized simplex methods to approximate derivatives
Gabriel Jarry-Bolduc, Chayne Planiden
This paper presents two methods for approximating a proper subset of the entries of a Hessian using only function evaluations. These approximations are obtained using the technique…
Using orthogonally structured positive bases for constructing positive -spanning sets with cosine measure guarantees
Warren Hare, Gabriel Jarry-Bolduc, Sébastien Kerleau +1
Positive spanning sets span a given vector space by nonnegative linear combinations of their elements. These have attracted significant attention in recent years, owing to their ex…
Approximating the diagonal of a Hessian: which sample set of points should be used
Gabriel Jarry-Bolduc
An explicit formula to approximate the diagonal entries of the Hessian is introduced. When the derivative-free technique called \emph{generalized centered simplex gradient} is used…
Limiting behaviour of the generalized simplex gradient as the number of points tends to infinity on a fixed shape in R^n
Warren Hare, Gabriel Jarry-Bolduc, Chayne Planiden
This work investigates the asymptotic behaviour of the gradient approximation method called the generalized simplex gradient (GSG). This method has an error bound that at first gla…
Error bounds for overdetermined and underdetermined generalized centred simplex gradients
Warren Hare, Gabriel Jarry--Bolduc, Chayne Planiden
Using the Moore--Penrose pseudoinverse, this work generalizes the gradient approximation technique called centred simplex gradient to allow sample sets containing any number of poi…