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A STUDY OF NEGATIVE ARITHMETIC MATRIX WITH FIBONACCI NUMBERS
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In this work the Pascal matrix P and the negative Pascal matrix Q are studied by means of certain polynomials. We investigate an LU-factorization of Q by P, and express the powers Qm by Fibonacci numbers.
Abstract
In this work the Pascal matrix P and the negative Pascal matrix Q are studied by means of certain polynomials. We investigate an LU-factorization of Q by P, and express the powers Qm by Fibonacci numbers.
참고문헌 (9)
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- S. Falcon, "The k-Fibonacci matrix and the Pascal matrix", Cent. Eur. J. Math, 9, pp.1403~1410 (2011)
- S. Fallat, "Bidiagonal factorization of totally nonnegative matrices", Amer. Math. Monthly, 108, pp.697~712 (2001)
- P. Hilton, "Looking into Pascal's triangle: Combinatorics, arithmetic, and geometry", Math. Mag, 60, pp.305~316 (1987)
- J. Jo, "Arithmetic matrix of quadratic polynomial with negative exponent by Pascal matrix", J. Alg. Appl. Math, 17, pp.67~90 (2019)
- R. Johnson, "Fibonacci Numbers and Matrices", ~ (2009)
- W. Lunnon, "The Pascal matrix", Fibo. Quart, 15, pp.201~204 (1977)
관련 논문AI추천
SINGULAR CASE OF GENERALIZED FIBONACCI AND LUCAS MATRICESMarko Miladinovic, Predrag Stanimirovi대한수학회 · 대한수학회지2011 · 제48권 제1호The generalized Pascal matrix via the generalized Fibonacci matrix and the generalized Pell matrix이광연, 조성훈대한수학회 · 대한수학회지2008 · 제45권 제2호THE DIFFERENCE MATRICES OF GENERALIZED FIBONACCI AND LUCAS SEQUENCES김익표장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호MODULAR TRIBONACCI NUMBERS BY MATRIX METHOD최은미한국수학교육학회 · 이론수학과 교직수학2013 · 제20권 제3호Applications of Euler-Seidel matricesA. Dil, V. Kurt장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제18권 제2호On the $g$-circulant matricesMustafa Bahsi, Suleyman Solak대한수학회 · 대한수학회논문집2018 · 제33권 제3호
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