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ON PERMANENTS OF SOME TRIDIAGONAL MATRICES CONNECTED WITH FIBONACCI NUMBERS
In this paper we study such sequences of special tridiagonal matrices, which permanents are equal a Fibonacci number. Firstly we summarize the previous results and then we derive some new special cases of square tridiagonal matrices...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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On a sequence of tridiagonal matrices whose determinants are Fibonacci numbers Fn+1
In this paper, we generalize two previous individual results on connection special tridiagonal matrices to Fibonacci numbers, as we found a sequence of tridiagonal matrices which are equal to Fibonacci numbers....
BA - Obecná matematika
- 2015 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Trigonometric recurrence relations and tridiagonal trigonometric matrices
It is shown that every tridiagonal symmetric matrix can be transformed by a special transformation into the so-called tridiagonal trigonometric matrix. The relationship of this transformation to 2 times 2 trigonome...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The Darwin procedure in optics of layered media and the matrix theory
The Darwin dynamical theory of diffraction for two beam yields a nonhomogeneous system of linear algebraic equations with a tridiagonal matrix. It is shown of the basic properties of tridiagonal matrices, their determinants...
JR - Ostatní strojírenství
- 1999 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
ON A RECURRENCE FOR PERMANENTS OF A SEQUENCE OF 3-TRIDIAGONAL MATRICES
This is a corrigendum of the paper: Kucuk, A. Z. and Duz, M. (2017). Relationships between the permanents of a certain type of k-tridiagonal symmetric Toeplitz and the Chebyshev polynomials. Journal of Applied Mathematics and Computational M...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Partitioned Triangular Tridiagonalization
We present a partitioned algorithm for reducing a symmetric matrix to a tridiagonal form, with partial pivoting. That is, the algorithm computes a factorization PAPT = LTLT, where, P is a permutation matrix, L is lower tria...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
ON DETERMINANTS OF SOME TRIDIAGONAL MATRICES CONNECTED WITH FIBONACCI NUMBERS
and tridiagonal matrices in this paper. We will summarize the results on determinants of families of tridiagonal matrices which have as the value some Fibonacci numbers, but we......
BA - Obecná matematika
- 2013 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Two Results on Basic Oscillatory Matrices
product of oscillatory tridiagonal matrices of the same order is again an oscillatory tridiagonal matrix, is extended to the class of basic oscillatory matrices introduced recently. Then it is shown that every oscillatory ...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
ON DETERMINANTS OF TRIDIAGONAL MATRICES WITH ALTERNATING PAIRS OF 1's AND -1's ON THE DIAGONAL CONNECTED WITH FIBONACCI NUMBERS
We will concentrate on some special tridiagonal matrices connected with Fibonacci numbers. In the previous paper we generalized one of the results in Strang's book,as we derived that determinants of some tridiagonal matrices with al...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Lanczos Tridiagonalization and Core Problems
The paper "C.C. Paige, Z. Strakoš: Core problems in linear algebraic systems (SIAM J. Matrix Anal. Appl. 27 (2006), pp. 861-875)" presents a core problem formulation of orthogonally invariant linear approximation problems Ax ~ b, that extrac...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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