Contributions to the Computation of the Matrix Exponential. Revision,

Abstract

This thesis consists of two parts. First, a condition number for the exponential of a triangular matrix S is introduced. It measures how sensitive is e sub s to relatively small perturbations in the elements of S. Second, a new technique (matrix argument reduction) for computing periodic matrix functions is described and discussed in detail. By applying this technique to the computation of e sub s one can always reduce the problem to one in which the eigenvalues lie close to the real axis.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1984
Accession Number
ADA140069

Entities

People

  • K. C. Ng

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Analytic Functions
  • Applied Mathematics
  • Arithmetic
  • Complex Numbers
  • Computations
  • Computer Programming
  • Computers
  • Eigenvalues
  • Errors
  • Floating Point Operations
  • Inequalities
  • Integrals
  • Mathematics
  • Notation
  • Periodic Functions
  • Sensitivity

Readers

  • Linear Algebra
  • Systems Analysis and Design