Výsledky vyhledávání - (("directional limiting coderivative") OR ("directional lighting coderivative"))

On the Aubin property of solution maps to parameterized variational systems with implicit constraints

Autoři: Gfrerer, Helmut Outrata, Jiri

Témata: 0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, 49J53, 90C31, 90C46, Aubin property, directional limiting coderivative, parameterized variational system, Solution map

Relation: Optimization Vol. 69, no. 7-8 (2020), p. 1681-1701; http://purl.org/au-research/grants/arc/DP160100854; http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/174336; vital:14824; https://doi.org/10.1080/02331934.2019.1657427

Dostupnost: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/174336
https://doi.org/10.1080/02331934.2019.1657427

On lipschitzian properties of implicit multifunctions

Autoři: Gfrerer, Helmut Outrata, Jiri

Témata: 0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, Aubin property, Calmness, Directional limiting coderivative, Solution map, Software engineering, Aubin properties, Fine analysis, Implicit function, Implicit multifunctions, Lipschitzian, Nocv1, Polyhedral set, Computer science

Relation: SIAM Journal on Optimization Vol. 26, no. 4 (2016), p. 2160-2189; http://purl.org/au-research/grants/arc/DP160100854; http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154327; vital:11091; https://doi.org/10.1137/15M1052299

Dostupnost: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154327
https://doi.org/10.1137/15M1052299

On the directional asymptotic approach in optimization theory: The directional asymptotic approach: M. Benko, P. Mehlitz.

Autoři: Benko, Matúš Mehlitz, Patrick

Zdroj: Mathematical Programming; Jan2025, Vol. 209 Issue 1, p859-937, 79p

Témata: CALCULUS of variations, SEMIDEFINITE programming, SET-valued maps, MATHEMATICAL optimization, SENSES, NONSMOOTH optimization

On New Generalized Differentials with Respect to a Set and Their Applications.

Autoři: Qin, Xiaolong Duc Thinh, Vo Yao, Jen-Chih

Zdroj: Set-Valued & Variational Analysis; Sep2024, Vol. 32 Issue 3, p1-27, 27p

On the Aubin property of a class of parameterized variational systems

Autoři: Gfrerer, Helmut Outrata, Jiri

Témata: 0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, 0802 Computation Theory and Mathematics, Aubin property, Directional limiting coderivative, Graphical derivative, Solution map

Relation: Mathematical Methods of Operations Research Vol. 86, no. 3 (2017), p. 443-467; http://purl.org/au-research/grants/arc/DP160100854; http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/164132; vital:13000

Dostupnost: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/164132
https://doi.org/10.1007/s00186-017-0596-y

Projectional Coderivatives and Calculus Rules.

Autoři: Yao, Wenfang Meng, Kaiwen Li, Minghua a další

Zdroj: Set-Valued & Variational Analysis; Dec2023, Vol. 31 Issue 4, p1-27, 27p

A Generalized Newton Method for Subgradient Systems.

Autoři: Duy Khanh, Pham Mordukhovich, Boris Phat, Vo Thanh

Zdroj: Mathematics of Operations Research; Nov2023, Vol. 48 Issue 4, p1811-1845, 35p

Témata: NEWTON-Raphson method, SUBGRADIENT methods, SCIENCE education, DIFFERENTIABLE functions, CALCULUS, RESEARCH grants

Korporace: AUSTRALIAN Research Council

RELATIVE LIPSCHITZ-LIKE PROPERTY OF PARAMETRIC SYSTEMS VIA PROJECTIONAL CODERIVATIVES.

Autoři: WENFANG YAO XIAOQI YANG

Zdroj: SIAM Journal on Optimization; 2023, Vol. 33 Issue 3, p2021-2040, 20p

Témata: LINEAR complementarity problem, LINEAR operators

Generalized damped Newton algorithms in nonsmooth optimization via second-order subdifferentials.

Autoři: Khanh, Pham Duy Mordukhovich, Boris S. Phat, Vo Thanh a další

Zdroj: Journal of Global Optimization; May2023, Vol. 86 Issue 1, p93-122, 30p

Témata: OPTIMIZATION algorithms, NONSMOOTH optimization, SUBDIFFERENTIALS, COST functions, DIFFERENTIABLE functions, MACHINE learning

Second-Order Optimality Conditions for Nonconvex Set-Constrained Optimization Problems.

Autoři: Gfrerer, Helmut Ye, Jane J. Zhou, Jinchuan

Zdroj: Mathematics of Operations Research; Aug2022, Vol. 47 Issue 3, p2344-2365, 22p

Témata: DUALITY theory (Mathematics), TANGENT function

Calmness and Calculus: Two Basic Patterns.

Autoři: Benko, Matúš Mehlitz, Patrick

Zdroj: Set-Valued & Variational Analysis; Mar2022, Vol. 30 Issue 1, p81-117, 37p

Lipschitz-like property relative to a set and the generalized Mordukhovich criterion.

Autoři: Meng, K. W. Li, M. H. Yao, W. F. a další

Zdroj: Mathematical Programming; Sep2021, Vol. 189 Issue 1/2, p455-489, 35p

Témata: SET-valued maps, CONVEX sets, CONES

ON A SEMISMOOTH* NEWTON METHOD FOR SOLVING GENERALIZED EQUATIONS.

Autoři: GFRERER, HELMUT OUTRATA, JIRI V.

Zdroj: SIAM Journal on Optimization; 2021, Vol. 31 Issue 1, p489-517, 29p

Témata: NEWTON-Raphson method, EQUATIONS

The Radius of Metric Subregularity.

Autoři: Dontchev, Asen L. Gfrerer, Helmut Kruger, Alexander Y. a další

Zdroj: Set-Valued & Variational Analysis; Sep2020, Vol. 28 Issue 3, p451-473, 23p

Stability Analysis for Parameterized Variational Systems with Implicit Constraints.

Autoři: Benko, Matúš Gfrerer, Helmut Outrata, Jiří V.

Zdroj: Set-Valued & Variational Analysis; Mar2020, Vol. 28 Issue 1, p167-193, 27p

Computation of Graphical Derivatives of Normal Cone Maps to a Class of Conic Constraint Sets.

Autoři: Liu, Yulan Sun, Ying Pan, Shaohua

Zdroj: Set-Valued & Variational Analysis; Sep2019, Vol. 27 Issue 3, p783-806, 24p

Calculus for Directional Limiting Normal Cones and Subdifferentials.

Autoři: Benko, Matúš Gfrerer, Helmut Outrata, Jiří V.

Zdroj: Set-Valued & Variational Analysis; Sep2019, Vol. 27 Issue 3, p713-745, 33p

Metric subregularity and/or calmness of the normal cone mapping to the p-order conic constraint system.

Autoři: Sun, Ying Pan, Shaohua Bi, Shujun

Zdroj: Optimization Letters; Jul2019, Vol. 13 Issue 5, p1095-1110, 16p

On the Aubin property of a class of parameterized variational systems.

Autoři: Gfrerer, H. Outrata, J.

Zdroj: Mathematical Methods of Operations Research; Dec2017, Vol. 86 Issue 3, p443-467, 25p, 1 Graph

Témata: VARIATIONAL inequalities (Mathematics), PARAMETERIZATION, MATHEMATICAL mappings, DERIVATIVES (Mathematics), CALCULUS

Lipschitz and Hölder stability of optimization problems and generalized equations.

Autoři: Gfrerer, Helmut Klatte, Diethard

Zdroj: Mathematical Programming; Jul2016, Vol. 158 Issue 1/2, p35-75, 41p

Témata: LIPSCHITZ spaces, MATHEMATICAL optimization, MATHEMATICAL programming, NONLINEAR programming, GENERALIZED estimating equations