Adrian S. Lewis

Genaro López-Acedo

Adriana Nicolae

SIAM J. Optim., March, 2024

The Cost of Nonconvexity in Deterministic Nonsmooth Optimization.

[BibT_eX]

[DOI]

Siyu Kong

Math. Oper. Res., 2024

A subgradient splitting algorithm for optimization on nonpositively curved metric spaces.

[BibT_eX]

[DOI]

CoRR, 2024

Recognizing weighted means in geodesic spaces.

[BibT_eX]

[DOI]

CoRR, 2024

Lipschitz minimization and the Goldstein modulus.

[BibT_eX]

[DOI]

Siyu Kong

CoRR, 2024

Horoballs and the subgradient method.

[BibT_eX]

[DOI]

Genaro López-Acedo

Adriana Nicolae

CoRR, 2024

2023

Survey Descent: A Multipoint Generalization of Gradient Descent for Nonsmooth Optimization.

[BibT_eX]

[DOI]

X. Y. Han

SIAM J. Optim., March, 2023

The complexity of first-order optimization methods from a metric perspective.

[BibT_eX]

[DOI]

Tonghua Tian

CoRR, 2023

2022

Partial Smoothness and Constant Rank.

[BibT_eX]

[DOI]

Jingwei Liang

Tonghua Tian

SIAM J. Optim., 2022

Local Linear Convergence of Alternating Projections in Metric Spaces with Bounded Curvature.

[BibT_eX]

[DOI]

Genaro López-Acedo

Adriana Nicolae

SIAM J. Optim., 2022

2021

The Structure of Conservative Gradient Fields.

[BibT_eX]

[DOI]

Tonghua Tian

SIAM J. Optim., 2021

Nonsmooth optimization using Taylor-like models: error bounds, convergence, and termination criteria.

[BibT_eX]

[DOI]

Math. Program., 2021

Active-Set Newton Methods and Partial Smoothness.

[BibT_eX]

[DOI]

Calvin J. S. Wylie

Math. Oper. Res., 2021

2020

Partial Smoothness of the Numerical Radius at Matrices Whose Fields of Values are Disks.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2020

2019

A simple Newton method for local nonsmooth optimization.

[BibT_eX]

[DOI]

Calvin J. S. Wylie

CoRR, 2019

2018

Nonsmooth Variants of Powell's BFGS Convergence Theorem.

[BibT_eX]

[DOI]

Jiayi Guo

SIAM J. Optim., 2018

Error Bounds, Quadratic Growth, and Linear Convergence of Proximal Methods.

[BibT_eX]

[DOI]

Math. Oper. Res., 2018

2017

Variational analysis of the Crouzeix ratio.

[BibT_eX]

[DOI]

Anne Greenbaum

Math. Program., 2017

2016

Generic Minimizing Behavior in Semialgebraic Optimization.

[BibT_eX]

[DOI]

SIAM J. Optim., 2016

A proximal method for composite minimization.

[BibT_eX]

[DOI]

Stephen J. Wright

Math. Program., 2016

2015

Curves of Descent.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2015

Clarke Subgradients for Directionally Lipschitzian Stratifiable Functions.

[BibT_eX]

[DOI]

Math. Oper. Res., 2015

Nonsmoothness and a Variable Metric Method.

[BibT_eX]

[DOI]

Shuwei Zhang

J. Optim. Theory Appl., 2015

Transversality and Alternating Projections for Nonconvex Sets.

[BibT_eX]

[DOI]

Found. Comput. Math., 2015

2014

Orthogonal Invariance and Identifiability.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2014

Optimality, identifiability, and sensitivity.

[BibT_eX]

[DOI]

Math. Program., 2014

2013

Partial Smoothness, Tilt Stability, and Generalized Hessians.

[BibT_eX]

[DOI]

Shanshan Zhang

SIAM J. Optim., 2013

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

[BibT_eX]

[DOI]

SIAM J. Optim., 2013

Nonsmooth optimization via quasi-Newton methods.

[BibT_eX]

[DOI]

Math. Program., 2013

Semi-algebraic functions have small subdifferentials.

[BibT_eX]

[DOI]

Math. Program., 2013

2011

Identifying Activity.

[BibT_eX]

[DOI]

Stephen J. Wright

SIAM J. Optim., 2011

Generic Optimality Conditions for Semialgebraic Convex Programs.

[BibT_eX]

[DOI]

Jérôme Bolte

Math. Oper. Res., 2011

2010

Randomized Methods for Linear Constraints: Convergence Rates and Conditioning.

[BibT_eX]

[DOI]

D. Leventhal

Math. Oper. Res., 2010

2009

Lipschitz Behavior of the Robust Regularization.

[BibT_eX]

[DOI]

Chin How Jeffrey Pang

SIAM J. Control. Optim., 2009

Tame functions are semismooth.

[BibT_eX]

[DOI]

Jérôme Bolte

Math. Program., 2009

Local Linear Convergence for Alternating and Averaged Nonconvex Projections.

[BibT_eX]

[DOI]

D. Russell Luke

Jérôme Malick

Found. Comput. Math., 2009

2008

Variational Analysis of Pseudospectra.

[BibT_eX]

[DOI]

Chin How Jeffrey Pang

SIAM J. Optim., 2008

Alternating Projections on Manifolds.

[BibT_eX]

[DOI]

Jérôme Malick

Math. Oper. Res., 2008

2007

Convexity and Lipschitz Behavior of Small Pseudospectra.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2007

Clarke Subgradients of Stratifiable Functions.

[BibT_eX]

[DOI]

SIAM J. Optim., 2007

The [barred L]ojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems.

[BibT_eX]

[DOI]

Jérôme Bolte

SIAM J. Optim., 2007

Spectral conditioning and pseudospectral growth.

[BibT_eX]

[DOI]

Numerische Mathematik, 2007

Nonsmooth optimization and robust control.

[BibT_eX]

[DOI]

Annu. Rev. Control., 2007

Identifying Active Manifolds.

[BibT_eX]

[DOI]

Warren L. Hare

Algorithmic Oper. Res., 2007

2006

Stabilization via Nonsmooth, Nonconvex Optimization.

[BibT_eX]

[DOI]

IEEE Trans. Autom. Control., 2006

Distance to Uncontrollability for Convex Processes.

[BibT_eX]

[DOI]

René Henrion

Alberto Seeger

SIAM J. Control. Optim., 2006

2005

A Robust Gradient Sampling Algorithm for Nonsmooth, Nonconvex Optimization.

[BibT_eX]

[DOI]

SIAM J. Optim., 2005

Variational analysis of functions of the roots of polynomials.

[BibT_eX]

[DOI]

Math. Program., 2005

Estimating Tangent and Normal Cones Without Calculus.

[BibT_eX]

[DOI]

Warren L. Hare

Math. Oper. Res., 2005

2004

Pseudospectral Components and the Distance to Uncontrollability.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2004

The Structured Distance to Ill-Posedness for Conic Systems.

[BibT_eX]

[DOI]

Math. Oper. Res., 2004

Variational Analysis of the Abscissa Mapping for Polynomials via the Gauss-Lucas Theorem.

[BibT_eX]

[DOI]

J. Glob. Optim., 2004

2003

Optimization and Pseudospectra, with Applications to Robust Stability.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2003

The mathematics of eigenvalue optimization.

[BibT_eX]

[DOI]

Math. Program., 2003

2002

Active Sets, Nonsmoothness, and Sensitivity.

[BibT_eX]

[DOI]

SIAM J. Optim., 2002

Approximating Subdifferentials by Random Sampling of Gradients.

[BibT_eX]

[DOI]

Math. Oper. Res., 2002

2001

Twice Differentiable Spectral Functions.

[BibT_eX]

[DOI]

Hristo S. Sendov

SIAM J. Matrix Anal. Appl., 2001

Self-concordant barriers for hyperbolic means.

[BibT_eX]

[DOI]

Hristo S. Sendov

Math. Program., 2001

Optimal Stability and Eigenvalue Multiplicity.

[BibT_eX]

[DOI]

Found. Comput. Math., 2001

Fuzzy c-means image segmentation of side-scan sonar images.

[BibT_eX]

J. P. Stitt

R. L. Tutwiler

Proceedings of the Signal and Image Processing (SIP 2001), 2001

2000

Lidskii's Theorem via Nonsmooth Analysis.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2000

Nonsmooth Duality, Sandwich, and Squeeze Theorems.

[BibT_eX]

[DOI]

R. E. Lucchetti

SIAM J. Control. Optim., 2000

1999

Nonsmooth analysis of eigenvalues.

[BibT_eX]

[DOI]

Math. Program., 1999

Ill-Conditioned Convex Processes and Conic Linear Systems.

[BibT_eX]

[DOI]

Jean-Baptiste Hiriart-Urruty

Math. Oper. Res., 1999

The Clarke and Michel-Penot Subdifferentials of the Eigenvalues of a Symmetric Matrix.

[BibT_eX]

[DOI]

Comput. Optim. Appl., 1999

1996

Group Invariance and Convex Matrix Analysis.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 1996

Convex Analysis on the Hermitian Matrices.

[BibT_eX]

[DOI]

SIAM J. Optim., 1996

Derivatives of Spectral Functions.

[BibT_eX]

[DOI]

Math. Oper. Res., 1996

Maximum Entropy Reconstruction Using Derivative Information, Part 1: Fisher Information and Convex Duality.

[BibT_eX]

[DOI]

Dominikus Noll

Math. Oper. Res., 1996

1994

Strong Rotundity and Optimization.

[BibT_eX]

[DOI]

SIAM J. Optim., 1994

Facial reduction in partially finite convex programming.

[BibT_eX]

[DOI]

Math. Program., 1994

1993

Partially-Finite Programming in L<sub>1</sub> and the Existence of Maximum Entropy Estimates.

[BibT_eX]

[DOI]

SIAM J. Optim., 1993

1992

Image compression using the 2-D wavelet transform.

[BibT_eX]

[DOI]

Gregory P. Knowles

IEEE Trans. Image Process., 1992

Partially finite convex programming, Part II: Explicit lattice models.

[BibT_eX]

[DOI]

Math. Program., 1992

Partially finite convex programming, Part I: Quasi relative interiors and duality theory.

[BibT_eX]

[DOI]

Math. Program., 1992

1991

Convergence of Best Entropy Estimates.

[BibT_eX]

[DOI]

SIAM J. Optim., 1991

A 64 Kb/s Video Codec Using the 2-D Wavelet Transform.

[BibT_eX]

[DOI]

Gregory P. Knowles

Proceedings of the IEEE Data Compression Conference, 1991

1989

An extension of the simplex algorithm for semi-infinite linear programming.

[BibT_eX]

[DOI]

Edward J. Anderson