
Accession Number : ADA136659
Title : Stable Convex Sets of Matrices.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON 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