The Calculation of exp(At) with Some Applications.

Abstract

Given A an n x n matrix with real or complex elements, then exp(At) is calculated as the unique solution of an initial value problem. In the process of obtaining this solution n-unknown matrices become involved and must be computed. Characterizing properties of these matrices to be computed become known: such properties as pairwise-orthogonal, idempotent and nilpotent. Finally some applications of the above calculations are given in the field of solutions to systems of differential equations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1977
Accession Number
ADA037428

Entities

People

  • Elmo J. Stewart

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Binomials
  • Coefficients
  • Differential Equations
  • Eigenvalues
  • Equations
  • Linear Systems
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Orthogonality
  • Polynomials
  • Real Variables
  • Security

Fields of Study

  • Mathematics

Readers

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