Stable Convex Sets of Matrices.

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)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1983
Accession Number
ADA136659

Entities

People

  • S. Friedland

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algebraic Geometry
  • Complex Numbers
  • Convex Sets
  • Differential Equations
  • Equations
  • Geometry
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Real Variables
  • Spectra
  • Theorems
  • United States
  • Vector Spaces
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Solar Physics