Generalized Lucas Polynomials and the Mth Power of an NxN Matrix.

Abstract

The difference equation which the generalized Lucas polynomials satisfy has the same coefficients as the Cayley-Hamilton equation for the NxN matrix for which the Lucas polynomials are associated. The generalized Lucas polynomials which are associated with an NxN matrix are found explicitly. With this knowledge, the Mth power of an NxN matrix can be expressed formally. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 29, 1973
Accession Number
AD0763344

Entities

People

  • Donald R. Childs

Organizations

  • Naval Undersea Warfare Center

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Difference Equations
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Polynomials

Fields of Study

  • Mathematics

Readers

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