Abstract

This note corrects a mistake in a recent paper of B. Brogliatio [Analysis of the implicit Euler time-discretization of a class of descriptor-variable linear cone complementarity systems, J. Convex Analysis 29/2 (2022) 481–517] concerning the characterization of the domain of an operator of the form Φ(t,⋅):=(∂σΓ(t)+D)−1(⋅)\Phi(t,\cdot):=(\partial \sigma_{\Gamma(t)}+D)^{-1}(\cdot), D=D⊤D=D^{\top} a constant positive semi-definite matrix, Γ(t)\Gamma(t) a nonempty closed convex set for each tt, σΓ(t)(⋅)\sigma_{\Gamma(t)}(\cdot) its support function.

Author information

Contact details are reproduced from the original publication and may be historical.

Quang-Hung Pham

Université Grenoble Alpes, INRIA, CNRS, Grenoble INP, LJK, Grenoble, France

Bernard Brogliato

Université Grenoble Alpes, INRIA, CNRS, Grenoble INP, LJK, Grenoble, France

Keywords

  • Linear complementarity problem
  • sum of operators
  • maximal monotone operator

Mathematics Subject Classification

65K15, 94C60, 49J53, 34A09, 34A12, 34A60

Suggested citation

Q.-H. Pham, B. Brogliato. “Correction to "Analysis of the Implicit Euler Time-Discretization of a Class of Descriptor-Variable Linear Cone Complementarity Systems", J. Convex Analysis 29/2 (2022) 481–517.” Journal of Convex Analysis 31 (2024), No. 3, 1035–1037. https://doi.org/10.68381/jca31050

Download BibTeXPublished by Heldermann Verlag.

Published by Heldermann Verlag, 2024. Rights now held by Banach Press.