Investigations in Improved Iterative Methods for Solving Sparse Systems of Linear Equations

Abstract

This research conducted by the principal investigator during the period October 1, 1979 to June 30, 1980, resulted in the following research articles which have either appeared in print, or have been accepted in refereed mathematical journals, in this period: Inequalities for polynomials with a prescribed zero; Theorems of Stein-Rosenberg Type; On the Enestrom-Kakeya Theorem and Its Sharpness; Bounds for incomplete polynomials vanishing at both endpoints of an interval; Hermite-Birkhoff interpolation in the n-th roots of unity; Remarks on some conjectures of G.G. Lorentz; On incomplete polynomials. II; Interpolation in the roots of unity: an extension of a Theorem of J. L. Walsh; On the sharpness of some upper bounds for spectral radii of S.O.R. iteration matrices; An extension of the Enestrom-Kakeya Theorem and its sharpness; Lacunary trigonometric interpolation on equidistant nodes.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1980
Accession Number
ADA207266

Entities

People

  • R. S. Varga

Organizations

  • Kent State University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Algebra
  • Approximation (Mathematics)
  • Classification
  • Equations
  • Inequalities
  • Interpolation
  • Intervals
  • Iterations
  • Linear Algebra
  • Mathematical Models
  • Mathematics
  • New York
  • Polynomials
  • Security
  • Sharpness
  • West Germany

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Linear Algebra
  • Technical Research and Report Writing.