Results 51 to 60 of about 7,036,812 (378)

Quivers and Matrix Equations

Linear Algebra and its Applications, 1995
AbstractWe discuss methods for solving some familiar matrix equations. The methods were derived from the theory of quivers, a powerful tool in the representation theory of algebras. It is not necessary that the reader understand quivers, but we include a brief explanation for those who may be interested.
openaire   +2 more sources

A new extended matrix KP hierarchy and its solutions

, 2010
With the square eigenfunctions symmetry constraint, we introduce a new extended matrix KP hierarchy and its Lax representation from the matrix KP hierarchy by adding a new $\tau_B$ flow.
A. I. Zenchuk, A. Kundu, A. L. Sakhnovich, C. Schiebold, E. Date, J. Hu, L. Dickey, M. Sato, S. Shen, T. Xiao, V. K. Mel’nikov, V. K. Mel’nikov, V. K. Mel’nikov, W. Oevel, X. J. Liu, X. Liu, Xiaojun Liu, Yehui Huang, Yi. Cheng, Yunbo Zeng, Yuqin Yao   +20 more
core   +1 more source

Practical challenges in data‐driven interpolation: Dealing with noise, enforcing stability, and computing realizations

International Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley   +1 more source

Spectral analysis of variable-order multi-terms fractional differential equations

Open Physics, 2023
In this work, a numerical scheme based on shifted Jacobi polynomials (SJPs) is deduced for variable-order fractional differential equations (FDEs). We find numerical solution of consider problem of fractional order. The proposed numerical scheme is based
Shah Kamal, Abdeljawad Thabet, Jeelani Mdi Begum, Alqudah Manar A.   +3 more
doaj   +1 more source

Integrable discretizations of derivative nonlinear Schroedinger equations

, 2002
We propose integrable discretizations of derivative nonlinear Schroedinger (DNLS) equations such as the Kaup-Newell equation, the Chen-Lee-Liu equation and the Gerdjikov-Ivanov equation by constructing Lax pairs.
Ablowitz M J, Athorne C, Chen H H, Clarkson P A, Clarkson P A, Clarkson P A, Date E, Fan E, Fordy A P, Gerdjikov V S, Gerdjikov V S, Gerdjikov V S, Hirota R, Hirota R, Hirota R, Hirota R, Ishimori Y, Kakei S, Kako F, Kaup D J, Kaup D J, Kawata T, Konopelchenko B G, Kulish P P, Kundu A, Kuznetsov E A, Levi D, Manakov S V, Merola I, Olver P J, Sakovich S Yu, Sasa N, Shabat A B, Sokolov V V, Suris Y B, Takayuki Tsuchida, Tsuchida T, Tsuchida T, Tsuchida T, Vakhnenko O O, van der Linden J, Wadati M, Wadati M, Wadati M, Wadati M, Yajima N, Zakharov V E, Zakharov V E   +47 more
core   +1 more source

Data‐driven performance metrics for neural network learning

International Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri, Mauro Gaggero, Marcello Sanguineti   +2 more
wiley   +1 more source

Finite difference method application in design of foundation girder of variable cross-section loaded on ends [PDF]

Facta Universitatis. Series: Architecture and Civil Engineering, 2008
Deflection of foundation girder supported by the deformable base has been defined by the system of differential equations, where the differential equation of the elastic line of the girder is of the fourth order.
Prolović Verka, Bonić Zoran
doaj   +1 more source

Combining transient dynamics and logistic‐asymptotic growth to study the recovery of two seabird populations after rat eradication

Population Ecology, EarlyView.
This study examines the demographic dynamics of two seabird populations on Tromelin Island, 15 years after the eradication of brown rats. The results indicate that these populations are in good health and are expected to continue growing until breeding sites are saturated in about a century.
Merlène Saunier, Christophe Barbraud, Maxime Amy, Sabine Orlowski, Jean Hivert, Gabrielle Dicque, Matthieu Le Corre   +6 more
wiley   +1 more source

Exact solutions to the modified Korteweg-de Vries equation

, 2010
A formula for certain exact solutions to the modified Korteweg-de Vries (mKdV) equation is obtained via the inverse scattering transform method. The kernel of the relevant Marchenko integral equation is written with the help of matrix exponentials as ...
Demontis, Francesco
core   +1 more source

Multipole matrix elements of Green function of Laplace equation [PDF]

, 2015
Multipole matrix elements of Green function of Laplace equation are calculated. The multipole matrix elements of Green function in electrostatics describe potential on a sphere which is produced by a charge distributed on the surface of a different ...
Górka, Przemysław, Makuch, Karol
core   +1 more source