Iterative Methods for Singular Systems of Equations.

Abstract

The objectives of the research were to study direct and iterative methods for approximating solutions to systems of linear equations Ax=b, where the coefficient matrix A is singular or in general rectangular. Such problems arise in geodesy calculations, in finite difference and finite element methods for approximating solutions to certain types of partial differential equations such as the Neumann problem or Poisson's equation on a sphere, in statistical calculations in structural analysis and in Markov analysis. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 03, 1977
Accession Number
ADA041512

Entities

People

  • Robert J. Plemmons

Organizations

  • University of Tennessee system

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algebra
  • Coefficients
  • Contracts
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Linear Algebra
  • Linear Systems
  • Military Research
  • Numerical Analysis
  • Partial Differential Equations
  • Scientists
  • Splitting
  • Structural Analysis

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.