Accession Number : ADA136659

Title :   Stable Convex Sets of Matrices.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Friedland,s

PDF Url : ADA136659

Report Date : Nov 1983

Pagination or Media Count : 16

Abstract : A subset alpha of nxn complex valued matrices is stable if all powers of all matrices from the set alpha are uniformly bounded. We show that if alpha is a bounded convex circular set which spans a stable linear subspace of matrices, then alpha is stable if the spectral radius of any a approaching alpha is bounded by 1. (Author)

Descriptors :   *Matrices(Mathematics), *Convex sets, *Stability, Partial differential equations, Iterations, Theorems, Value

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE