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Wyszukujesz frazę "Eigenvalues" wg kryterium: Temat


Tytuł:
The correlation between the eigenvalues of global FEM matrix and the size of time step in the numerical solutions of solidification equation
Autorzy:
Zych, M.
Powiązania:
https://bibliotekanauki.pl/articles/122381.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
eigenvalues of the matrix
time step
numerical stability
solidification
czas końcowy
stabilność numeryczna
krzepnięcie
Opis:
In the paper the influence of the eigenvalues of the matrix on the stability of the numerical simulations of binary alloy solidification process was analyzed. One step Θ scheme time integration for the modeling was used. The occurrence of the equation clotting full, diagonal and lumped capacitance matrix was considered. In the explicit schema (conditionally stable) the major influence on the proper selection of the size of the critical time step was proved. The physically incorrect results are given when the maximum allowable time step is exceeded.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 3; 201-206
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spectral integral variation of trees
Autorzy:
Wang, Yi
Fan, Yi-Zheng
Powiązania:
https://bibliotekanauki.pl/articles/743873.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
tree
Laplacian eigenvalues
spectral integral variation
algebraic connectivity
Opis:
In this paper, we determine all trees with the property that adding a particular edge will result in exactly two Laplacian eigenvalues increasing respectively by 1 and the other Laplacian eigenvalues remaining fixed. We also investigate a situation in which the algebraic connectivity is one of the changed eigenvalues.
Źródło:
Discussiones Mathematicae Graph Theory; 2006, 26, 1; 49-58
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A result related to the largest eigenvalue of a tree
Autorzy:
Vijayakumar, Gurusamy
Powiązania:
https://bibliotekanauki.pl/articles/743093.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
eigenvalues of a graph
characteristic polynomial
Opis:
In this note we prove that {0,1,√2,√3,2} is the set of all real numbers l such that the following holds: every tree having an eigenvalue which is larger than l has a subtree whose largest eigenvalue is l.
Źródło:
Discussiones Mathematicae Graph Theory; 2008, 28, 3; 557-561
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Construction of constrained experimental designs on finite spaces for a modified Ek-optimality criterion
Autorzy:
Uciński, Dariusz
Powiązania:
https://bibliotekanauki.pl/articles/1838172.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
constrained optimum experimental design
minimal sum of largest eigenvalues
generalized simplicial decomposition
optimal measurement selection
Opis:
A simple computational algorithm is proposed for minimizing sums of largest eigenvalues of the matrix inverse over the set of all convex combinations of a finite number of nonnegative definite matrices subject to additional box constraints on the weights of those combinations. Such problems arise when experimental designs aiming at minimizing sums of largest asymptotic variances of the least-squares estimators are sought and the design region consists of finitely many support points, subject to the additional constraints that the corresponding design weights are to remain within certain limits. The underlying idea is to apply the method of outer approximations for solving the associated convex semi-infinite programming problem, which reduces to solving a sequence of finite min-max problems. A key novelty here is that solutions to the latter are found using generalized simplicial decomposition, which is a recent extension of the classical simplicial decomposition to nondifferentiable optimization. Thereby, the dimensionality of the design problem is drastically reduced. The use of the algorithm is illustrated by an example involving optimal sensor node activation in a large sensor network collecting measurements for parameter estimation of a spatiotemporal process.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 4; 659-677
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On melancholic magic squares
Autorzy:
Trenkler, Götz
Trenkler, Dietrich
Powiązania:
https://bibliotekanauki.pl/articles/729848.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
magic squares
patterns
group inverse
Moore-Penrose inverse
eigenvalues and eigenvectors
Opis:
Starting with Dürer's magic square which appears in the well-known copper plate engraving Melencolia we consider the class of melancholic magic squares. Each member of this class exhibits the same 86 patterns of Dürer's magic square and is magic again. Special attention is paid to the eigenstructure of melancholic magic squares, their group inverse and their Moore-Penrose inverse. It is seen how the patterns of the original Dürer square to a large extent are passed down also to the inverses of the melancholic magic squares.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2013, 33, 1-2; 111-119
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The eigenvalue derivatives of linear damped systems
Autorzy:
Sun, Y.-J.
Powiązania:
https://bibliotekanauki.pl/articles/970588.pdf
Data publikacji:
2003
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
pochodna wartości własnej
derivatives of eigenvalues
linear damped systems
Opis:
In this note, the derivatives of eigenvalues with respect to the model parameters for linear damped systems is proposed by means of kronecker algebra and matrix calculus. A numerical example is also provided to illustrate the use of the main result.
Źródło:
Control and Cybernetics; 2003, 32, 4; 735-741
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stochastic differential equations for random matrices processes in the nonlinear framework
Autorzy:
Stihi, S.
Boutabia, H.
Meradji, S,
Powiązania:
https://bibliotekanauki.pl/articles/255162.pdf
Data publikacji:
2018
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
G-Brownian motion matrix
G-stochastic differential equations
random matrices
eigenvalues
eigenvectors
Opis:
In this paper, we investigate the processes of eigenvalues and eigenvectors of a symmetric matrix valued process Xt, where Xt is the solution of a general SDE driven by a G-Brownian motion matrix. Stochastic differential equations of these processes are given. This extends results obtained by P. Graczyk and J. Malecki in [Multidimensional Yamada-Watanabe theorem and its applications to particle systems, J. Math. Phys. 54 (2013), 021503].
Źródło:
Opuscula Mathematica; 2018, 38, 2; 261-283
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Damped vibration of the system of changing the crane boom radius
Autorzy:
Sochacki, W.
Bold, M.
Powiązania:
https://bibliotekanauki.pl/articles/122516.pdf
Data publikacji:
2015
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
truck crane
damped vibration
eigenvalues
Opis:
This study formulates and solves the problem of transverse damped vibration in the system of changing the boom radius in a truck crane with advanced cylinder design for controlling the boom radius. The dissipation of vibration energy in the model adopted in the study occurs as a result of internal damping of the viscoelastic material (rheological Kelvin-Voigt model) of the beams that model the system and movement resistance in the supports of the cylinder and crane boom to the bodywork frame of the crane. Damped frequencies of vibrations and degree of vibration amplitude decay were calculated. The study also presents eigenvalues of system vibration with respect to changes in damping coefficients and system geometry for a selected load.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 2; 111-122
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Vibration of crane radius change system with internal damping
Autorzy:
Sochacki, W.
Bold, M.
Powiązania:
https://bibliotekanauki.pl/articles/122494.pdf
Data publikacji:
2013
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
truck crane
vibration damping
eigenvalues
żurawie samochodowe
tłumienie drgań
wartości własne
Opis:
In the present work a problem pertaining to the damped lateral vibrations of the truck crane radius change system with the developed hydraulic cylinder model that changes the radius has been formulated and solved. In the adopted model the vibration energy dissipation derives from the internal damping of the viscoelastic material (the Kelvin-Voigt rheological model) of beams that model the system. Damped vibration frequency and the vibration amplitude decay level have been calculated. Changes of the eigenvalues of system vibrations with the damping ratio change and the change of the system geometry with different loads observed on it have been presented.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 2; 97-103
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Sturm-Liouville eigenvalue problem - a numerical solution using the control volume method
Autorzy:
Siedlecki, J.
Ciesielski, M
Błaszczyk, T.
Powiązania:
https://bibliotekanauki.pl/articles/122530.pdf
Data publikacji:
2016
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Sturm-Liouville problem
eigenvalues
numerical methods
Control Volume Method
problem Sturm-Liouville
wartości własne
metody numeryczne
metoda kontroli głośności
Opis:
The solution of the 1D Sturm-Liouville problem using the Control Volume Method is discussed. The second order linear differential equation with homogeneous boundary conditions is discretized and converted to the system of linear algebraic equations. The matrix associated with this system is tridiagonal and eigenvalues of this system are an approximation of the real eigenvalues of the boundary value problem. The numerical results of the eigenvalues for various cases and the experimental rate of convergence are presented.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 2; 127-136
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On composition of signed graphs
Autorzy:
Shahul Hameed, K.
Germina, K.
Powiązania:
https://bibliotekanauki.pl/articles/743222.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
signed graph
eigenvalues
graph composition
regular graphs
net-regular signed graphs
Opis:
A graph whose edges are labeled either as positive or negative is called a signed graph. In this article, we extend the notion of composition of (unsigned) graphs (also called lexicographic product) to signed graphs. We employ Kronecker product of matrices to express the adjacency matrix of this product of two signed graphs and hence find its eigenvalues when the second graph under composition is net-regular. A signed graph is said to be net-regular if every vertex has constant net-degree, namely, the difference of the number of positive and negative edges incident with a vertex. We also characterize balance in signed graph composition and have some results on the Laplacian matrices of this product.
Źródło:
Discussiones Mathematicae Graph Theory; 2012, 32, 3; 507-516
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spectral study of alliances in graphs
Autorzy:
Rodríguez-Velazquez, Juan
Almira, Jose
Powiązania:
https://bibliotekanauki.pl/articles/743723.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
defensive alliance
offensive alliance
dual alliance
domination
spectral radius
graph eigenvalues.
Opis:
In this paper we obtain several tight bounds on different types of alliance numbers of a graph, namely (global) defensive alliance number, global offensive alliance number and global dual alliance number. In particular, we investigate the relationship between the alliance numbers of a graph and its algebraic connectivity, its spectral radius, and its Laplacian spectral radius.
Źródło:
Discussiones Mathematicae Graph Theory; 2007, 27, 1; 143-157
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximation of eigenvalues for a class of differential problems on an infinite interval
Autorzy:
Regińska, Teresa
Powiązania:
https://bibliotekanauki.pl/articles/748517.pdf
Data publikacji:
1978
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Spectral theory, Sturm-Liouville, and scattering theory
eigenfunctions, eigenvalues, and expansions
Eigenvalue problems
Teoria spektralna, funkcje własne, wartości własne
Opis:
The author investigates the problem (1) Lu=λu, u(0)=0, u∈L2(0,∞), where L=d2/dt2+a(t)d/dt+b(t) and domL={u∈L2(0,∞):du/dt absolutely continuous, d2u/dt2∈L2(0,∞), u(0)=0}. She proves that under certain conditions it is possible to approximate the spectrum of (1) by means of the spectrum of a suitable problem of the form −u′′+c(t)u=λu, u(0)=0, u′(n)=α(n)u(n).
The author investigates the problem (1) Lu=λu, u(0)=0, u∈L2(0,∞), where L=d2/dt2+a(t)d/dt+b(t) and domL={u∈L2(0,∞):du/dt absolutely continuous, d2u/dt2∈L2(0,∞), u(0)=0}. She proves that under certain conditions it is possible to approximate the spectrum of (1) by means of the spectrum of a suitable problem of the form −u′′+c(t)u=λu, u(0)=0, u′(n)=α(n)u(n).The review of the paper is available at MR0518666.
Źródło:
Mathematica Applicanda; 1978, 6, 13
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Location of generating units most affecting the angular stability of the power system based on the analysis of instantaneous power waveforms
Autorzy:
Pruski, Piotr
Paszek, Stefan
Powiązania:
https://bibliotekanauki.pl/articles/229521.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
power system
modal analysis
electromechanical eigenvalues
transient states
angular stability
Opis:
In the paper, the results of investigations on the location of generating units most affecting the angular stability of a large power system (PS) are presented. For their location, the eigenvalues of the PS model state matrix associated with electromechanical phenomena (electromechanical eigenvalues) were used. The eigenvalues were calculated on the basis of the analysis of the disturbance waveforms of instantaneous power of the generating units operating in the PS. The used method of calculating eigenvalues consists in approximation of the disturbance waveforms of generating units by the waveforms being the superposition of modal components. The parameters of these components depend on the sought eigenvalues and their participation factors. The objective function was defined as the mean square error between the approximated and approximating waveforms. To minimize it, a hybrid algorithm, being a combination of genetic and gradient algorithms, was used. In the instantaneous power waveforms of generating units most affecting the PS angular stability, the least damped or undamped modal components dominate. They are related to eigenvalues with the largest values of real parts. The impact of individual modal components on the disturbance waveforms of subsequent generating units was determined with the use of participation factors and correlation coefficients of electromechanical eigenvalues.
Źródło:
Archives of Control Sciences; 2020, 30, 2; 273-293
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An Analysis of the Accuracy of Electromechanical Eigenvalue Calculations Based on Instantaneous Power Waveforms Recorded in a Power Plant
Obliczenia elektromechanicznych wartości własnych na podstawie przebiegów mocy chwilowej zarejestrowanych w elektrowni
Autorzy:
Pruski, P.
Paszek, S.
Powiązania:
https://bibliotekanauki.pl/articles/397515.pdf
Data publikacji:
2013
Wydawca:
ENERGA
Tematy:
power system
eigenvalues associated with electromechanical phenomena
transient states
system elektroenergetyczny
wartości własne związane ze zjawiskami elektromechanicznymi
stany nieustalone
Opis:
The paper presents the results of calculating the eigenvalues (associated with electromechanical phenomena) of the state matrix of the Polish Power System model on the basis of analysis of simulated and measured instantaneous power disturbance waveforms of generating units in Łaziska Power Plant. The method for electromechanical eigenvalue calculations used in investigations consists in approximation of the instantaneous power swing waveforms in particular generating units with the use of the waveforms being a superposition of the modal components associated with the searched eigenvalues and their participation factors. The hybrid optimisation algorithm consisting of the genetic and gradient algorithms was used for computations.
W artykule przedstawiono wyniki obliczeń wartości własnych (związanych ze zjawiskami elektromechanicznymi) macierzy stanu modelu Krajowego Systemu Elektroenergetycznego, na podstawie analizy symulacyjnych i pomiarowych przebiegów mocy chwilowej zespołów wytwórczych w Elektrowni Łaziska. Wykorzystana w artykule metoda obliczeń wartości własnych polega na aproksymacji przebiegów odchyłek mocy chwilowej za pomocą przebiegów stanowiących superpozycję składowych modalnych, związanych z poszukiwanymi wartościami własnymi i ich czynnikami udziału. Do obliczeń wykorzystano hybrydowy algorytm optymalizacyjny, stanowiący szeregowe połączenie algorytmu genetycznego i gradientowego.
Źródło:
Acta Energetica; 2013, 4; 118-131
2300-3022
Pojawia się w:
Acta Energetica
Dostawca treści:
Biblioteka Nauki
Artykuł

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