Investigations on the Numerical Solution of Polynomial Equations.

Abstract

The report develops the following: Error estimates a posteriori, usable in numerical practice, for some classes of iterative procedures; Estimates of subdominant roots for a certain class of algebraic equations; Estimates of subdominant roots of positive matrices, known from previous work by the principal investigator and E. Hopf, generalized to irreducible non negative matrices; and, The characterization of the general regular orderings in the field of products of powers by applying the generalized Lexicographic Principle to a sequence of conveniently defined and chosen weight functions.

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1973
Accession Number
AD0758142

Entities

People

  • Alexander M. Ostrowski

Organizations

  • University of Basel

Tags

DTIC Thesaurus Topics

  • Equations
  • Mathematics
  • Polynomials

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.