The largest singular value of eXA0e-X is convex on convex sets of commuting matrices

Renan Sezer Sezginer, Michael L. Overton

Research output: Contribution to journalArticlepeer-review


A short and direct proof is given for the convexity of the largest singular value of eXA0e-X on any convex set of commuting matrices in Rnxn, where A0, Rnxn is fixed. This statement does not hold if X is permitted to be a general square matrix. A counterexample is supplied for noncommuting matrices.

Original languageEnglish (US)
Pages (from-to)229-230
Number of pages2
JournalIEEE Transactions on Automatic Control
Issue number2
StatePublished - Feb 1990

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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