Largest singular value of exA0e-x is convex on convex sets of commuting matrices

Renan Sezer Sezginer, Michael L. Overton

Research output: Contribution to journalArticle

Abstract

A short and direct proof of the convexity property is given. It is shown that the theorem applies to any convex, commuting set of matrices X in Rn × n, where A0 ε Rn × n is fixed. It is also shown that the result 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
Volume35
Issue number2
DOIs
StatePublished - Feb 1990

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Largest singular value of exA0e-x is convex on convex sets of commuting matrices. / Sezginer, Renan Sezer; Overton, Michael L.

In: IEEE Transactions on Automatic Control, Vol. 35, No. 2, 02.1990, p. 229-230.

Research output: Contribution to journalArticle

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