Michael L. Overton

Benjamin Peherstorfer

SIAM J. Sci. Comput., April, 2023

An Experimental Comparison of Methods for Computing the Numerical Radius.

[BibT_eX]

[DOI]

CoRR, 2023

On the Choice of Sign Defining Householder Transformations.

[BibT_eX]

[DOI]

Pinze Yu

CoRR, 2023

2022

On properties of univariate max functions at local maximizers.

[BibT_eX]

[DOI]

Optim. Lett., 2022

Multi-fidelity robust controller design with gradient sampling.

[BibT_eX]

[DOI]

Steffen W. R. Werner

Benjamin Peherstorfer

CoRR, 2022

2021

Local Minimizers of the Crouzeix Ratio: A Nonsmooth Optimization Case Study.

[BibT_eX]

[DOI]

CoRR, 2021

2020

First-Order Perturbation Theory for Eigenvalues and Eigenvectors.

[BibT_eX]

[DOI]

Anne Greenbaum

Ren-Cang Li

SIAM Rev., 2020

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

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2020

Analysis of the gradient method with an Armijo-Wolfe line search on a class of non-smooth convex functions.

[BibT_eX]

[DOI]

Azam Asl

Optim. Methods Softw., 2020

Finding the strongest stable weightless column with a follower load and relocatable concentrated masses.

[BibT_eX]

[DOI]

Oleg N. Kirillov

CoRR, 2020

H-infinity Strong Stabilization via HIFOO, a Package for Fixed-Order Controller Design.

[BibT_eX]

[DOI]

Marc Millstone

CoRR, 2020

Fixed-Order H-infinity Controller Design via HIFOO, a Specialized Nonsmooth Optimization Package.

[BibT_eX]

[DOI]

CoRR, 2020

2018

Low-Order Control Design using a Reduced-Order Model with a Stability Constraint on the Full-Order Model.

[BibT_eX]

[DOI]

Peter Benner

Proceedings of the 57th IEEE Conference on Decision and Control, 2018

2017

Approximating the Real Structured Stability Radius with Frobenius-Norm Bounded Perturbations.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2017

A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles.

[BibT_eX]

[DOI]

Frank E. Curtis

Optim. Methods Softw., 2017

Variational analysis of the Crouzeix ratio.

[BibT_eX]

[DOI]

Anne Greenbaum

Math. Program., 2017

Polynomial root radius optimization with affine constraints.

[BibT_eX]

[DOI]

Math. Program., 2017

2015

An Efficient Algorithm for Computing the Generalized Null Space Decomposition.

[BibT_eX]

[DOI]

Nicola Guglielmi

G. W. Stewart

SIAM J. Matrix Anal. Appl., 2015

Narrowing the difficulty gap for the Celis-Dennis-Tapia problem.

[BibT_eX]

[DOI]

Immanuel M. Bomze

Math. Program., 2015

2014

The spectral bundle method with second-order information.

[BibT_eX]

[DOI]

Christoph Helmberg

Franz Rendl

Optim. Methods Softw., 2014

2013

Fast Approximation of the HINFINITY Norm via Optimization over Spectral Value Sets.

[BibT_eX]

[DOI]

Nicola Guglielmi

Mert Gürbüzbalaban

SIAM J. Matrix Anal. Appl., 2013

Nonsmooth optimization via quasi-Newton methods.

[BibT_eX]

[DOI]

Math. Program., 2013

Preface.

[BibT_eX]

[DOI]

Antonio Frangioni

Claudia A. Sagastizábal

Math. Program., 2013

2012

Explicit Solutions for Root Optimization of a Polynomial Family With One Affine Constraint.

[BibT_eX]

[DOI]

IEEE Trans. Autom. Control., 2012

Some Regularity Results for the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix.

[BibT_eX]

[DOI]

Mert Gürbüzbalaban

SIAM J. Optim., 2012

A Sequential Quadratic Programming Algorithm for Nonconvex, Nonsmooth Constrained Optimization.

[BibT_eX]

[DOI]

Frank E. Curtis

SIAM J. Optim., 2012

2011

Fast Algorithms for the Approximation of the Pseudospectral Abscissa and Pseudospectral Radius of a Matrix.

[BibT_eX]

[DOI]

Nicola Guglielmi

SIAM J. Matrix Anal. Appl., 2011

2010

Explicit solutions for root optimization of a polynomial family.

[BibT_eX]

[DOI]

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

2008

Hinfinity strong stabilization via HIFOO, a package for fixed-order controller design.

[BibT_eX]

[DOI]

Marc Millstone

Proceedings of the 47th IEEE Conference on Decision and Control, 2008

Fixed-order H∞ controller design via HIFOO, a specialized nonsmooth optimization package.

[BibT_eX]

[DOI]

Proceedings of the American Control Conference, 2008

2007

Convexity and Lipschitz Behavior of Small Pseudospectra.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2007

Spectral conditioning and pseudospectral growth.

[BibT_eX]

[DOI]

Numerische Mathematik, 2007

Large-scale semidefinite programs in electronic structure calculation.

[BibT_eX]

[DOI]

Math. Program., 2007

Optimizing the asymptotic convergence rate of the Diaconis-Holmes-Neal sampler.

[BibT_eX]

[DOI]

Kranthi K. Gade

Adv. Appl. Math., 2007

2006

Stabilization via Nonsmooth, Nonconvex Optimization.

[BibT_eX]

[DOI]

IEEE Trans. Autom. Control., 2006

An Algorithm to Compute Sepλ.

[BibT_eX]

[DOI]

Ming Gu

SIAM J. Matrix Anal. Appl., 2006

Fast Methods for Estimating the Distance to Uncontrollability.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2006

2005

Survey and Review.

[BibT_eX]

[DOI]

SIAM Rev., 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

On computing the complex passivity radius.

[BibT_eX]

[DOI]

Paul Van Dooren

Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

2004

Pseudospectral Components and the Distance to Uncontrollability.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2004

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

[BibT_eX]

[DOI]

J. Glob. Optim., 2004

2003

Design of Hermite Subdivision Schemes Aided by Spectral Radius Optimization.

[BibT_eX]

[DOI]

Bin Han

Thomas P. Y. Yu

SIAM J. Sci. Comput., 2003

Optimization and Pseudospectra, with Applications to Robust Stability.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2003

2002

Approximating Subdifferentials by Random Sampling of Gradients.

[BibT_eX]

[DOI]

Math. Oper. Res., 2002

2001

Variational Analysis of the Abscissa Mapping for Polynomials.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2001

Variational analysis of non-Lipschitz spectral functions.

[BibT_eX]

[DOI]

Math. Program., 2001

Optimal Stability and Eigenvalue Multiplicity.

[BibT_eX]

[DOI]

Found. Comput. Math., 2001

Numerical computing with IEEE floating point arithmetic - including one theorem, one rule of thumb, and one hundred and one exercices.

[BibT_eX]

SIAM, ISBN: 978-0-89871-482-1, 2001

2000

An Efficient Primal-Dual Interior-Point Method for Minimizing a Sum of Euclidean Norms.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2000

1999

Dedication.

[BibT_eX]

[DOI]

Robert B. Schnabel

SIAM J. Optim., 1999

Conditioning of semidefinite programs.

[BibT_eX]

[DOI]

Madhu V. Nayakkankuppam

Math. Program., 1999

1998

Computing Limit Loads by Minimizing a Sum of Norms.

[BibT_eX]

[DOI]

Knud D. Andersen

Edmund Christiansen

SIAM J. Sci. Comput., 1998

Primal-Dual Interior-Point Methods for Semidefinite Programming: Convergence Rates, Stability and Numerical Results.

[BibT_eX]

[DOI]

Farid Alizadeh

Jean-Pierre A. Haeberly

SIAM J. Optim., 1998

Two Heuristics for the Euclidean Steiner Tree Problem.

[BibT_eX]

[DOI]

Derek R. Dreyer

J. Glob. Optim., 1998

1997

On the Lidskii-Vishik-Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure.

[BibT_eX]

[DOI]

Julio Moro

SIAM J. Matrix Anal. Appl., October, 1997

Semidefinite Programming.

[BibT_eX]

[DOI]

Henry Wolkowicz

Math. Program., 1997

Complementarity and nondegeneracy in semidefinite programming.

[BibT_eX]

[DOI]

Farid Alizadeh

Jean-Pierre A. Haeberly

Math. Program., 1997

1996

Perturbing the Critically Damped Wave Equation.

[BibT_eX]

[DOI]

Steven J. Cox

SIAM J. Appl. Math., 1996

1995

Second Derivatives for Optimizing Eigenvalues of Symmetric Matrices.

[BibT_eX]

[DOI]

Robert S. Womersley

SIAM J. Matrix Anal. Appl., 1995

1994

A Hybrid Algorithm for Optimizing Eigenvalues of Symmetric Definite Pencils.

[BibT_eX]

[DOI]

Jean-Pierre A. Haeberly

SIAM J. Matrix Anal. Appl., October, 1994

1993

Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices.

[BibT_eX]

[DOI]

Robert S. Womersley

Math. Program., 1993

1992

On the Sum of the Largest Eigenvalues of a Symmetric Matrix.

[BibT_eX]

[DOI]

Robert S. Womersley

SIAM J. Matrix Anal. Appl., 1992

Large-Scale Optimization of Eigenvalues.

[BibT_eX]

[DOI]

SIAM J. Optim., 1992

1989

A Globally Convergent Algorithm for Minimizing Over the Rotation Group of Quadratic Forms.

[BibT_eX]

[DOI]

Chaya Gurwitz

IEEE Trans. Pattern Anal. Mach. Intell., 1989

1983

A quadratically convergent method for minimizing a sum of euclidean norms.

[BibT_eX]

[DOI]

Math. Program., 1983

1981

A Block Lanczos Method for Computing the Singular Values and Corresponding Singular Vectors of a Matrix.

[BibT_eX]

[DOI]

Gene H. Golub

Franklin T. Luk

ACM Trans. Math. Softw., 1981

1979

Projected Lagrangian algorithms for nonlinear minimax and l₁ optimization.

[BibT_eX]

[DOI]

PhD thesis, 1979

Steplength algorithms for minimizing a class of nondifferentiable functions.

[BibT_eX]

[DOI]

Walter Murray