Clarke Jacobians, Bouligand Jacobians, and compact connected sets of matrices
Abstract Recent results on Clarke Jacobians obtained by D. Bartl and M. Fabian are
extended to Bouligand Jacobians. In particular, we prove that every non-empty compact …
extended to Bouligand Jacobians. In particular, we prove that every non-empty compact …
On the generalized Jacobian of the inverse of a Lipschitzian mapping
The objective of this short note is to provide an estimate of the generalized Jacobian of the
inverse of a Lipschitzian mapping when Clarke's inverse function theorem applies. Contrary …
inverse of a Lipschitzian mapping when Clarke's inverse function theorem applies. Contrary …
Level sets of nonsmooth functions, Part 1: Lipschitz and piecewise-differentiable Rank Theorems
SM Cavalcanti, PI Barton - Journal of Mathematical Analysis and …, 2024 - Elsevier
We present a piecewise-differentiable (PC r) Rank Theorem and extend a previously stated
Lipschitz Rank Theorem, with the goal of characterizing the level sets of nonsmooth …
Lipschitz Rank Theorem, with the goal of characterizing the level sets of nonsmooth …
Nonsmooth Distillation Models Robust to Convergence Errors: Numerical Methods and Topological Aspects
S Martins Cavalcanti - 2024 - dspace.mit.edu
Distillation is the most widely used (yet highly energy-intensive) industrial separation
method and one of the most well-studied chemical engineering processes. However …
method and one of the most well-studied chemical engineering processes. However …