Computing Sets,

Abstract

In large linear programming problems, rounding of type errors can cause problems. These errors stem from the computational set which is used by a computer. This article considers a case where it is shown that this set is commutative, contains additive and multiplicative inverses, is nonassociative, nondistributive with zero divisors. Two other sets which are quadratic extensions of a certain field that are nonassociative algebras with zero divisors are developed with an example of how these can be used to solve a differential equation of a certain form.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1985
Accession Number
ADP004956

Entities

People

  • C. R. Leake

Organizations

  • Center for Army Analysis

Tags

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Algorithms
  • Applied Mathematics
  • Computer Programming
  • Computers
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Linear Programming
  • Mathematics
  • Operations Research

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Mathematical Modeling and Probability Theory.