Temat: wielomian - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On a recurrence for permanents of a sequence of 3-tridiagonal matrices
Autorzy:: Trojovský, Pavel
Zvoníková, Iva
Powiązania:: https://bibliotekanauki.pl/articles/122314.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: permanent
k-tridiagonal matrix
Toeplitz matrix
recurrence relation
Chebyshev polynomial of the second kind
macierz Toeplitza
wielomian Chebyszewa
relacje rekurencyjne
macierz tridiagonalna
Opis:: This is a corrigendum of the paper: Küçük, A. Z. & Düz, 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 Mechanics, 16, 75-86. We will show that Remark 9, on page 84, does not hold, what is the consequence of the incorrect proof, which authors formulated there.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 4; 95-100
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Generalized method of Lie-algebraic discrete approximations for solving Cauchy problems with evolution equation
Autorzy:: Kindybaliuk, A.
Powiązania:: https://bibliotekanauki.pl/articles/122439.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: generalized method of Lie-algebraic discrete approximations
dynamical systems
evolution equation
finite dimensional quasi representation
approximations
Lagrange’s polynomial
factorial convergence
układy dynamiczne
aproksymacje
wielomian Lagrange'a
Opis:: We consider solving the Cauchy problem with an abstract linear evolution equation by means of the Generalized Method of Lie-algebraic discrete approximations. Discretization of the equation is performed by all variables in equation and leads to a factorial rate of convergence if Lagrange interpolation is used for building quasi representation of differential operator. The rank of a finite dimensional operator and approximation properties have been determined. Error estimations and the factorial rate of convergence have been proved.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 2; 51-62
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

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