Semilocal convergence conditions for the secant method, using recurrent functions
Using our new concept of recurrent functions, we present new sufficient convergence conditions for the secant method to a locally unique solution of a nonlinear equation in a Banach space.
Ioannis K. Argyros, Saïd Hilout
doaj +2 more sources
Tangent Blow‐Ups for Processing Non‐Manifold Geometry
Abstract Many geometry processing pipelines implicitly assume their input data is a manifold, or is sampled from one, with a unique tangent plane at every point. Geometric data, however, routinely contains sharp features like edges, corners, self‐intersections, branching junctions, and other singularities, rendering standard methods ill‐defined at ...
Alice Petrov +3 more
wiley +1 more source
A note on fractional integral operators on Herz spaces with variable exponent
In this note, we prove that the fractional integral operators from Herz spaces with variable exponent K ˙ p ( ⋅ ) , q α $\dot{K}^{\alpha}_{p(\cdot), q}$ to Lipschitz-type spaces are bounded provided p ( ⋅ ) $p(\cdot)$ is locally log-Hölder continuous and
Meng Qu, Jie Wang
doaj +1 more source
Strictly Conservative Neural Distance Fields
Abstract We propose a first method to generate neural unsigned or signed distance fields (SDFs) that are guaranteed to be conservative with respect to a given 3D shape. This means the true distance is never overestimated and the zero‐level set is a bounding volume for the shape. The method makes use of neural network architectures that ensure Lipschitz
I. Ludwig, M. Campen
wiley +1 more source
Approximate optimality conditions for a class of nonconvex semi-infinite programs involving support functions are given. The objective function and the constraint functions are locally Lipschitz functions on .
Son TaQuang, Kim DoSang
doaj
Regularity Conditions for Non-Differentiable Infinite Programming Problems using Michel-Penot Subdifferential [PDF]
In this paper we study optimization problems with infinite many inequality constraints on a Banach space where the objective function and the binding constraints are locally Lipschitz.
Nader Kanzi
doaj
Abadie Type Constraint Qualifications and Optimality Conditions for Nonsmooth Multi-Objective Semi-Infinite Problems [PDF]
This paper introduces several Abadie-type constraint qualifications and derives necessary optimality conditions in the Karush-Kuhn-Tucker for both weakly efficient solutions and efficient solutions of a nonsmooth multi-objective semi-infinite programming
Ahmad Rezaee
doaj +1 more source
Existence of Lipschitz and semiconcave control-Lyapunov functions [PDF]
International audienceGiven a locally Lipschitz control system which is globally asymptotically controllable at the origin, we construct a control-Lyapunov function for the system which is Lipschitz on bounded sets, and we deduce the existence of another
Rifford, Ludovic
core
A Splitting Architecture for Exact Reduced Coulomb Friction
Abstract Existing approaches to frictional contact dynamics typically either modify the Coulomb law to improve numerical robustness or solve the exact law in a fully coupled monolithic form. However, in its reduced form, exact Coulomb friction can be written as a cone complementarity problem with an augmented velocity, which reveals a natural split ...
Hongcheng Song +3 more
wiley +1 more source
Locally measure preserving property of bi-Lipschitz maps between Moran sets [PDF]
In literature it is shown that bi-Lipschitz maps between self-similar sets or self-affine sets enjoy a locally measure preserving property, namely, if $f:(E,μ)\to (F,ν)$ is a bi-Lipschitz map, then the Radon-Nykodym derivative $df^*ν/dμ$ is a constant ...
Huang, Liang-yi, Liu, Shishuang
core +1 more source

