• 81 Citations
  • 5 h-Index
20102020
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Research Output 2010 2018

  • 81 Citations
  • 5 h-Index
  • 10 Article
  • 5 Conference contribution
  • 2 Conference article
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Article
2018
2 Citations (Scopus)

Global convergence rate of proximal incremental aggregated gradient methods

Vanli, N. D., Gurbuzbalaban, M. & Ozdaglar, A., Jan 1 2018, In : SIAM Journal on Optimization. 28, 2, p. 1282-1300 19 p.

Research output: Contribution to journalArticle

Gradient methods
Gradient Method
Global Convergence
Convergence Rate
Gradient

Surpassing gradient descent provably: A cyclic incremental method with linear convergence rate

Mokhtari, A., Gurbuzbalaban, M. & Ribeiro, A., Jan 1 2018, In : SIAM Journal on Optimization. 28, 2, p. 1420-1447 28 p.

Research output: Contribution to journalArticle

Linear Convergence
Gradient methods
Gradient Descent
Convergence Rate
Gradient
2017
1 Citation (Scopus)
Stability Radius
Frobenius norm
Perturbation
Pseudospectra
Abscissa
1 Citation (Scopus)

Approximating the real structured stability radius with frobenius-norm bounded perturbations

Guglielmi, N., Gurbuzbalaban, M., Mitchell, T. & Overton, M. L., Jan 1 2017, In : SIAM Journal on Matrix Analysis and Applications. 38, 4, p. 1323-1353 31 p.

Research output: Contribution to journalArticle

Stability Radius
Frobenius norm
Perturbation
Pseudospectra
Abscissa
17 Citations (Scopus)

On the convergence rate of incremental aggregated gradient algorithms

Gurbuzbalaban, M., Ozdaglar, A. & Parrilo, P. A., Jan 1 2017, In : SIAM Journal on Optimization. 27, 2, p. 1035-1048 14 p.

Research output: Contribution to journalArticle

Linear Convergence
Incremental Algorithm
Gradient Algorithm
Rate of Convergence
Distributed Optimization

Polynomial root radius optimization with affine constraints

Eaton, J., Grundel, S., Gurbuzbalaban, M. & Overton, M. L., Oct 1 2017, In : Mathematical Programming. 165, 2, p. 509-528 20 p.

Research output: Contribution to journalArticle

Polynomial Roots
Radius
Polynomials
Roots
Optimization
2015
14 Citations (Scopus)

A globally convergent incremental Newton method

Gurbuzbalaban, M., Ozdaglar, A. & Parrilo, P., Jun 22 2015, In : Mathematical Programming. 151, 1, p. 283-313 31 p., 11.

Research output: Contribution to journalArticle

Newton-Raphson method
Newton Methods
Variable Step Size
Linear Convergence
Growth Conditions
2013
26 Citations (Scopus)

Fast approximation of the H norm via optimization over spectral value sets

Guglielmi, N., Gurbuzbalaban, M. & Overton, M. L., Jul 29 2013, In : SIAM Journal on Matrix Analysis and Applications. 34, 2, p. 709-737 29 p.

Research output: Contribution to journalArticle

Norm
Optimization
Approximation
Transfer Matrix
Modulus
2012
8 Citations (Scopus)

Explicit solutions for root optimization of a polynomial family with one affine constraint

Blondel, V. D., Gurbuzbalaban, M., Megretski, A. & Overton, M. L., Dec 7 2012, In : IEEE Transactions on Automatic Control. 57, 12, p. 3078-3089 12 p., 6209388.

Research output: Contribution to journalArticle

Polynomials
Controllers
Optimal design
5 Citations (Scopus)

Some regularity results for the pseudospectral abscissa and pseudospectral radius of a matrix

Gurbuzbalaban, M. & Overton, M. L., Sep 7 2012, In : SIAM Journal on Optimization. 22, 2, p. 281-285 5 p.

Research output: Contribution to journalArticle

Pseudospectra
Abscissa
Regularity
Radius
Resolvent