Spectrally stable matrices

Terry Lenker, Sivaram Narayan

Research output: Contribution to journalArticlepeer-review


Given an n×n complex matrix A define the matrix polytope determined by A as P(A)={AD | D=diag(d"1,...,d(n)),-1d(i)1,i=1,...,n}. We investigate the class of matrices A such that every eigenvalue of every member of P(A) is contained in the convex hull of the eigenvalues of the extreme points of P(A).

Original languageEnglish
Pages (from-to)177-189
Number of pages13
JournalLinear Algebra and Its Applications
StatePublished - Mar 15 2003


  • Schur D-stable
  • Schur stable
  • Vertex stable


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