On the Relationship between the Hausdorff Distance and Matric Distances of Ellipsoids.

Abstract

The space of ellipsoids may be metrized by the Hausdorff distance or by the sum of the distance between their centers and a distance between matrices. Various inequalities between metrices are established. It implies that the square root of positive semidefinite symmetric matrices satisfies a Lipschitz condition, with a constant which depends only on the dimension of the space. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1981
Accession Number
ADA105880

Entities

People

  • Alan J. Hoffman
  • Jean-louis Goffin

Organizations

  • Stanford University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Convergence
  • Ellipsoids
  • Geometric Forms
  • Geometry
  • Hilbert Space
  • Inequalities
  • Military Research
  • New York
  • Operations Research
  • Set Theory
  • Square Roots
  • Theorems
  • Topology
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Operations Research

Technology Areas

  • Space