A Matrix Approach for General Higher Order Linear Recurrences

Abstract

We consider k sequences of generalized order-k linear recurrences with arbitrary initial conditions and coefficients, and we give their generalized Binet formulas and generating functions. We also obtain a new matrix method to derive explicit formulas for the sums of terms of the k sequences. Further some relationships between determinants of certain Hessenberg matrices and the terms of these sequences are obtained.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2011
Accession Number
ADA548913

Entities

People

  • Emrah Kilic
  • Pantelimon Stanica

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Coefficients
  • Eigenvalues
  • Equations
  • Identities
  • Information Operations
  • Linear Systems
  • Mathematics
  • Polynomials
  • Schools
  • Sequences
  • Standards

Fields of Study

  • Mathematics

Readers

  • Linear Algebra