Polynomial root radius optimization with affine constraints

Julie Eaton; Sara Grundel; Mert Gürbüzbalaban; Michael L. Overton

doi:10.1007/s10107-016-1092-5

Publications · Journal article · Math. Program. 2017

Polynomial root radius optimization with affine constraints

Julie Eaton, Sara Grundel, Mert Gürbüzbalaban, Michael L. Overton

Mathematical Programming, 165(2), pp. 509–528, 2017.

Publisher (DOI)

Topics

Spectral & nonsmooth optimization

Cite

@article{eaton2017rootradius,
  title   = {Polynomial root radius optimization with affine constraints},
  author  = {Julie Eaton and Sara Grundel and Mert Gürbüzbalaban and Michael L. Overton},
  year    = {2017},
  journal = {Mathematical Programming},
  volume  = {165(2)},
  pages   = {509--528},
  doi     = {10.1007/s10107-016-1092-5},
}

Relatedsame topics

Robustly stable accelerated momentum methods with a near-optimal L₂ gain and H∞ performance (Math. Oper. Res., 2025)
Boundary conditions for linear exit time gradient trajectories around saddle points: analysis and algorithm (IEEE Trans. Inf. Theory, 2023)
Approximating the real structured stability radius with Frobenius-norm bounded perturbations (SIAM J. Matrix Anal. Appl., 2017)
Polynomial stabilization with bounds on the controller coefficients (ROCOND, 2015)
Fast approximation of the H∞ norm via optimization over spectral value sets (SIAM J. Matrix Anal. Appl., 2013)

← All publications · Research program · Mert Gürbüzbalaban