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A new Newton-like method for solving nonlinear equations. [PDF]

open access: yesSpringerplus, 2016
Saheya B, Chen GQ, Sui YK, Wu CY.
europepmc   +1 more source
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Convergence of the Peaceman-Rachford Splitting Method for a Class of Nonconvex Programs

Numerical Mathematics: Theory, Methods and Applications, 2021
In this paper, we analyze the convergence of the Peaceman-Rachford splitting method (PRSM) for a type of nonconvex and nonsmooth optimization with linear constraints, whose objective function is the sum of a proper lower semicontinuous function and a ...
M. Chao
semanticscholar   +1 more source

PROOF-THEORETIC METHODS IN NONLINEAR ANALYSIS

International Congress of Mathematicans, 2019
We discuss applications of methods from proof theory, so-called proof interpretations, for the extraction of explicit bounds in convex optimization, fixed point theory, ergodic theory and nonlinear semigroup theory.
U. Kohlenbach
semanticscholar   +1 more source

Mixed-integer Nonlinear Optimization: a hatchery for modern mathematics

Oberwolfach Reports, 2020
The second MFO Oberwolfach Workshop on Mixed-Integer Nonlinear Programming (MINLP) took place between 2nd and 8th June 2019. MINLP refers to one of the hardest Mathematical Programming (MP) problem classes, involving both nonlinear functions as well as ...
Leo Liberti   +2 more
semanticscholar   +1 more source

Efficiency Criteria for Multicost Variational Models Driven by H‐Type I Functionals

Journal of Multi-Criteria Decision Analysis
This paper investigates a family of multicost variational models driven by H‐type I functionals. Concretely, under H‐type I assumptions of the involved functionals, we state and prove necessary and sufficient criteria of efficiency for a feasible point ...
S. Treanțǎ   +2 more
semanticscholar   +1 more source

Mixed-integer Nonlinear Optimization: A Hatchery for Modern Mathematics

Oberwolfach Reports
. The aim of this workshop was fostering the growth of new mathematical ideas arising from mixed-integer nonlinear optimization. In this regard, the workshop has been a resounding success.
Leo Liberti, S. Sager, Angelika Wiegele
semanticscholar   +1 more source

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