Functions with Primal-Dual Gradient Structure and u-Hessians

Applied Optimization - Nonlinear Optimization and Related Topics ◽

10.1007/978-1-4757-3226-9_12 ◽

2000 ◽

pp. 219-233 ◽

Author(s):

Robert Mifflin ◽

Claudia Sagastizábal

Keyword(s):

Gradient Structure ◽

Primal Dual ◽

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On $\mathcalVU$-theory for Functions with Primal-Dual Gradient Structure

SIAM Journal on Optimization ◽

10.1137/s1052623499350967 ◽

2000 ◽

Vol 11 (2) ◽

pp. 547-571 ◽

Author(s):

Robert Mifflin ◽

Claudia Sagastizábal

Keyword(s):

Gradient Structure ◽

Primal Dual ◽

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Primal–Dual Gradient Dynamics for Cooperative Unknown Payload Manipulation without Communication*

2020 American Control Conference (ACC) ◽

10.23919/acc45564.2020.9147267 ◽

2020 ◽

Author(s):

Tatsuya Miyano ◽

Justin Romberg ◽

Magnus Egerstedt

Keyword(s):

Gradient Dynamics ◽

Primal Dual ◽

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Global exponential stability of primal-dual gradient flow dynamics based on the proximal augmented Lagrangian: A Lyapunov-based approach

2020 59th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc42340.2020.9304313 ◽

2020 ◽

Author(s):

Dongsheng Ding ◽

Mihailo R. Jovanovic

Keyword(s):

Exponential Stability ◽

Global Exponential Stability ◽

Augmented Lagrangian ◽

Gradient Flow ◽

Flow Dynamics ◽

Primal Dual ◽

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Time-Varying Optimization of LTI Systems via Projected Primal-Dual Gradient Flows

IEEE Transactions on Control of Network Systems ◽

10.1109/tcns.2021.3112762 ◽

2021 ◽

pp. 1-1

Author(s):

Gianluca Bianchin ◽

Jorge Cortes ◽

Jorge I. Poveda ◽

Emiliano Dall'Anese

Keyword(s):

Time Varying ◽

Gradient Flows ◽

Primal Dual ◽

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Primal-Dual Gradient Structured Functions: Second-Order Results; Links to Epi-Derivatives and Partly Smooth Functions

SIAM Journal on Optimization ◽

10.1137/s1052623402412441 ◽

2003 ◽

Vol 13 (4) ◽

pp. 1174-1194 ◽

Author(s):

Robert Mifflin ◽

Claudia Sagastizábal

Keyword(s):

Second Order ◽

Smooth Functions ◽

Primal Dual ◽

Dual Gradient ◽

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Inexact primal–dual gradient projection methods for nonlinear optimization on convex set

Optimization ◽

10.1080/02331934.2019.1696338 ◽

2019 ◽

Vol 69 (10) ◽

pp. 2339-2365

Author(s):

Fan Zhang ◽

Hao Wang ◽

Jiashan Wang ◽

Kai Yang

Keyword(s):

Nonlinear Optimization ◽

Projection Methods ◽

Gradient Projection ◽

Primal Dual ◽

Gradient Projection Methods ◽

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Polymer composites with dual gradient structure

Macromolecular Symposia ◽

10.1002/masy.19971180151 ◽

1997 ◽

Vol 118 (1) ◽

pp. 389-393 ◽

Author(s):

Chul Rim Choe ◽

Min Park

Keyword(s):

Polymer Composites ◽

Gradient Structure ◽

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Dual-gradient structure leads to optimized combination of high fracture resistance and strength-ductility synergy with minimized final catastrophic failure

Journal of Materials Research and Technology ◽

10.1016/j.jmrt.2021.08.102 ◽

2021 ◽

Vol 15 ◽

pp. 901-910

Author(s):

Ruqing Cao ◽

Qin Yu ◽

Yi Li ◽

Robert O. Ritchie

Keyword(s):

Fracture Resistance ◽

Gradient Structure ◽

Catastrophic Failure ◽

High Fracture ◽

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Semi-global exponential stability of augmented primal–dual gradient dynamics for constrained convex optimization

Systems & Control Letters ◽

10.1016/j.sysconle.2020.104754 ◽

2020 ◽

Vol 144 ◽

pp. 104754

Author(s):

Yujie Tang ◽

Guannan Qu ◽

Na Li

Keyword(s):

Convex Optimization ◽

Exponential Stability ◽

Global Exponential Stability ◽

Constrained Convex Optimization ◽

Gradient Dynamics ◽

Primal Dual ◽

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Global exponential stability of primal-dual gradient flow dynamics based on the proximal augmented Lagrangian

2019 American Control Conference (ACC) ◽

10.23919/acc.2019.8815153 ◽

2019 ◽

Author(s):

Dongsheng Ding ◽

Mihailo R. Jovanovic

Keyword(s):

Exponential Stability ◽

Global Exponential Stability ◽

Augmented Lagrangian ◽

Gradient Flow ◽

Flow Dynamics ◽

Primal Dual ◽

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