Ruhe's Theorem on Ill-Conditioned Eigenvalues.

Abstract

Recently Axel Ruhe published an inequality from which he could infer that whenever at least one of a matrix's eigenvalues is very ill-conditioned then that matrix must lie very near another whose eigenvalues are not all distinct. The paper exhibits a simpler and sometimes sharper version of that inequality. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1971
Accession Number
AD0746456

Entities

People

  • W. Kahan

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Eigenvalues
  • Equations
  • Inequalities
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Theoretical Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Machine Learning Algorithms