Generalized Fibonacci matrices

A. G. Shannon
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 15, 2009, Number 1, Pages 12—21
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Authors and affiliations

A. G. Shannon
Warrane College, University of New South Wales
PO Box 123, Kensington, NSW 1465, Australia


Medical measurements, by their very nature, are array-oriented. Matrices are, in a sense, their natural medium of display. Fibonacci matrices, given the natural growth modeling of second order linear sequences, are then particularly suitable vehicles for displaying, developing and discussing medical phenomena. This paper illustrates some of these aspects, partly for their pure mathematical elegance, and partly for their applied mathematical aptness.


  • Fibonacci numbers
  • Recurrence relations
  • False positives
  • Diabetes mellitus
  • Breast cancer
  • Mammography
  • Ultrasonography

AMS Classification

  • 92B05
  • 11B39
  • 11C20


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      Shannon A. G. (2009). Generalized Fibonacci matrices. Notes on Number Theory and Discrete Mathematics, 15(1), 12-21.


      Shannon, AG. “Generalized Fibonacci Matrices.” Notes on Number Theory and Discrete Mathematics 15, no. 1 (2009): 12-21.


      Shannon, AG. “Generalized Fibonacci Matrices.” Notes on Number Theory and Discrete Mathematics 15.1 (2009): 12-21. Print.

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