Fibonacci matrices, a generalization of the "Cassini formula", and a new coding theory

Chaos, Solitons and Fractals

Volumn 30, Issue 1, 2006, Pages 56-66

  Stakhov, A P ^a  

^a International Club of the Golden Section   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL PROGRAMMING; MATRIX ALGEBRA; SOLITONS;

CASSINI FORMULA"; CLASSICAL REDUNDANT CODES; DETERMINANT; FIBONACCI MATRICES;

NUMERICAL METHODS;

EID: 33646124235     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.12.054     Document Type: Article

References (8)

1. Hoggat V.E. Fibonacci and Lucas numbers (1969), Houghton-Mifflin, Palo Alto, CA
2. Gould H.W. A history of the Fibonacci Q-matrix and a higher-dimensional problem. The Fibonacci Quart 19 (1981) 250-257
3. Stakhov A.P. Introduction into algorithmic measurement theory (1977), Soviet Radio, Moscow [in Russian]
4. Stakhov O.P. A generalization of the Fibonacci Q-matrix. Rep Nat Acad Sci Ukraine 9 (1999) 46-49
5. Hohn F.E. Elementary matrix algebra (1973), Macmillan Company, New York
6. Stakhov A, Massingue V, Sluchenkova A. Introduction into Fibonacci coding and cryptography. Kharkov: Osnova; 1999.
7. Peterson W.W., and Weldon E.J. Error-correcting codes (1972), The MIT Press, Cambridge, Massachusetts, and London
8. El Naschie M.S. Statistical geometry of a cantor diocretum and semiconductors. Comput Math Appl 29 12 (1995) 103-110