Rank Deficient Least Squares and the Numerical Solution of Linear Singular Implicit Systems of Differential Equations

Abstract

An approach for the numerical solution of linear systems of differential equations of the form A(t)x' (t) plus B(t)x(t) equals f(t) with A(t) singular is discussed. The key step in this approach is the solution of a rank deficient least squares problem. The solution of this least squares problem is investigated. These results are then applied to the system of differential equations.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1985
Accession Number
ADA170163

Entities

People

  • Stephen L. Campbell

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Algorithms
  • Coefficients
  • Computations
  • Differential Equations
  • Equations
  • Error Analysis
  • Errors
  • Linear Algebra
  • Linear Systems
  • Mathematics
  • North Carolina
  • Numerical Analysis
  • Partial Differential Equations
  • Runge Kutta Method
  • Scientific Research
  • Signal Processing
  • Test And Evaluation

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Military Training and Readiness Simulation