Computation of Functions of Triangular Matrices.

Abstract

A simple relation exists among the elements of phi(T) when phi is an analytic function and T is triangular. This permits the rapid build up of phi(T) from its diagonal. An analogous relation holds for block triangular matrices. This permits the formation in real arithmetic of real functions of real matrices with complex eigenvalues. The confluent case is included. Algorithms are given some numerical examples.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1974
Accession Number
ADA005916

Entities

People

  • Beresford N. Parlett

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Analytic Functions
  • Arithmetic
  • Computational Complexity
  • Computations
  • Eigenvalues
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Linear Algebra