Tilt Stability, Uniform Quadratic Growth, and Strong Metric Regularity of the Subdifferential

JOURNAL ARTICLE published January 2013 in SIAM Journal on Optimization

Authors: D. Drusvyatskiy | A. S. Lewis

Quadratic Growth and Strong Metric Subregularity of the Subdifferential via Subgradient Graphical Derivative

JOURNAL ARTICLE published January 2021 in SIAM Journal on Optimization

Research funded by National Foundation for Science and Technology Development (101.01-2017.325) | National Science Foundation (DMS-1816386)

Authors: Nguyen Huy Chieu | Le Van Hien | Tran T. A. Nghia | Ha Anh Tuan

Partial Smoothness, Tilt Stability, and Generalized Hessians

JOURNAL ARTICLE published January 2013 in SIAM Journal on Optimization

Authors: A. S. Lewis | S. Zhang

Hölder Stable Minimizers, Tilt Stability, and Hölder metric Regularity of Subdifferentials

JOURNAL ARTICLE published January 2015 in SIAM Journal on Optimization

Authors: Xi Yin Zheng | Kung Fu Ng

Second-Order Subdifferential Calculus with Applications to Tilt Stability in Optimization

JOURNAL ARTICLE published January 2012 in SIAM Journal on Optimization

Authors: B. S. Mordukhovich | R. T. Rockafellar

Metric Regularity and Stability of Optimal Control Problems for Linear Systems

JOURNAL ARTICLE published January 2013 in SIAM Journal on Control and Optimization

Authors: M. Quincampoix | V. M. Veliov

On Metric Regularity for Weakly Almost Piecewise Smooth Functions and Some Applications in Nonlinear Semidefinite Programming

JOURNAL ARTICLE published January 2013 in SIAM Journal on Optimization

Authors: Peter Fusek

Error Bounds in Metric Spaces and Application to the Perturbation Stability of Metric Regularity

JOURNAL ARTICLE published January 2008 in SIAM Journal on Optimization

Authors: Huynh Van Ngai | Michel Théra

Quadratic Growth and Strong Metric Subregularity of the Subdifferential for a Class of Non-prox-regular Functions

JOURNAL ARTICLE published September 2022 in Journal of Optimization Theory and Applications

Authors: Nguyen Huy Chieu | Nguyen Thi Quynh Trang | Ha Anh Tuan

Characterizing and Testing Subdifferential Regularity in Piecewise Smooth Optimization

JOURNAL ARTICLE published January 2019 in SIAM Journal on Optimization

Authors: Andrea Walther | Andreas Griewank

An Optimal First Order Method Based on Optimal Quadratic Averaging

JOURNAL ARTICLE published January 2018 in SIAM Journal on Optimization

Research funded by Air Force Office of Scientific Research (FA9550-15-1-0237) | Office of Naval Research (N00014-12-1-1002) | National Science Foundation (CIF-1409836)

Authors: Dmitriy Drusvyatskiy | Maryam Fazel | Scott Roy

Generic Minimizing Behavior in Semialgebraic Optimization

JOURNAL ARTICLE published January 2016 in SIAM Journal on Optimization

Research funded by Air Force Office of Scientific Research (FA9550-15-1-0237) | National Science Foundation (DMS-0806057) | United States - Israel Binational Science Foundation (2008261,2014241,2008261,2014241)

Authors: D. Drusvyatskiy | A. D. Ioffe | A. S. Lewis

Square-Root Metric Regularity and Related Stability Theorems for Smooth Mappings

JOURNAL ARTICLE published January 2021 in SIAM Journal on Optimization

Research funded by Russian Science Foundation (20-11-20131) | Russian Science Foundation (19-11-00258)

Authors: Aram V. Arutyunov | Dmitry Karamzin

Curves of Descent

JOURNAL ARTICLE published January 2015 in SIAM Journal on Control and Optimization

Authors: D. Drusvyatskiy | A. D. Ioffe | A. S. Lewis

Directional Regularity and Metric Regularity

JOURNAL ARTICLE published January 2007 in SIAM Journal on Optimization

Authors: Aram V. Arutyunov | Evgeniy R. Avakov | Alexey F. Izmailov

Strong Duality in Nonconvex Quadratic Optimization with Two Quadratic Constraints

JOURNAL ARTICLE published January 2006 in SIAM Journal on Optimization

Authors: Amir Beck | Yonina C. Eldar

Pathological Subgradient Dynamics

JOURNAL ARTICLE published January 2020 in SIAM Journal on Optimization

Research funded by Center on the Microenvironment and Metastasis, Cornell University (CMM-AFB170001) | European Regional Development Fund (PGC2018-097960-B-C22) | Fondo Nacional de Desarrollo Científico y Tecnológico (1171854) | Ministerio de Ciencia, Innovación y Universidades (PGC2018-097960-B-C22) | National Science Foundation (DMS 1651851,CCF 1740551)

Authors: Aris Daniilidis | Dmitriy Drusvyatskiy

Abadie's Constraint Qualification, Metric Regularity, and Error Bounds for Differentiable Convex Inequalities

JOURNAL ARTICLE published November 1997 in SIAM Journal on Optimization

Authors: Wu Li

Convergence Analysis of an Inexact Feasible Interior Point Method for Convex Quadratic Programming

JOURNAL ARTICLE published January 2013 in SIAM Journal on Optimization

Authors: Jacek Gondzio

Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems

JOURNAL ARTICLE published January 2013 in SIAM Journal on Optimization

Authors: Robert Hesse | D. Russell Luke