Výsledky vyhledávání - "MATRIX exponential"

On the maximum horizontal distance of a matrix’s eigenvalues from the imaginary axis: A new criterion for control system stability Autor Fatoorehchi, Hooman, Fosbøl, Philip L.

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Euler polynomials for the matrix exponential approximation Autor Alonso, José M., Ibáñez, J., Defez, E., Alonso-Jordá, P.

“…In this work, a new method to compute the matrix exponential function by using an approximation based on Euler polynomials is proposed. These polynomials are…”
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Stabilization for sampled-data systems under noisy sampling interval Autor Shen, Bo, Wang, Zidong, Huang, Tingwen

“…In engineering practice, the sampling interval for a sampled-data system often fluctuates around a nominal/ideal value based on certain probability…”
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Computation of the Golden Matrix Exponential Functions of Special Matrices Autor Mersin, Efruz Özlem, Bahşi, Mustafa

“…Computation of the matrix exponential functions is important in solving various scientific and engineering problems due to their active role in solving…”
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Failure of the Lie-Trotter type formula for q-exponential operators Autor Popa, Dumitru

“…We give various examples which show that the Lie-Trotter type formula for q-exponential operators of Rajagopal-Tsallis is, in general, false…”
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Lie product type formulas for continuous multilinear operators Autor Popa, Dumitru

“…In this paper we prove various Lie product type formulas for continuous multilinear operators. A sample result: Let k≥2 be a natural number, X1,..., Xk, Y be…”
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BAMPHI: Matrix-free and transpose-free action of linear combinations of φ-functions from exponential integrators Autor Caliari, Marco, Cassini, Fabio, Zivcovich, Franco

“…The time integration of stiff systems of Ordinary Differential Equations (ODEs), usually arising from the spatial discretization of Partial Differential…”
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Some notes on properties of the matrix Mittag-Leffler function Autor Sadeghi, Amir, Cardoso, João R.

“…We have come across with publications where some properties of the matrix exponential were incorrectly extended to the matrix Mittag-Leffler function, and then…”
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MATRIX EXPONENTIAL METHODS FOR PARALLEL COMPUTING OF ISOTOPIC DEPLETION AND SPECIES TRANSPORT FOR MOLTEN SALT REACTOR ANALYSIS Autor Taylor, Zack, Collins, Benjamin, Maldonado, Ivan

“…Matrix exponential methods have long been utilized for isotopic depletion in nuclear fuel calculations. In this paper we discuss the development of such…”
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On Bernoulli matrix polynomials and matrix exponential approximation Autor Defez, E., Ibáñez, J., Alonso-Jordá, P., Alonso, José M., Peinado, J.

“…We present in this paper a new method based on Bernoulli matrix polynomials to approximate the exponential of a matrix. The developed method has given rise to…”
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Spatial inequalities of COVID-19 mortality rate in relation to socioeconomic and environmental factors across England Autor Sun, Yeran, Hu, Xuke, Xie, Jing

“…In this study, we aimed to examine spatial inequalities of COVID-19 mortality rate in relation to spatial inequalities of socioeconomic and environmental…”
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A parallel exponential integrator scheme for linear differential equations Autor Hecht, F., Kaber, S.-M.

“…New approximations of the matrix φ functions are developed. These approximations are rational functions of a specific form allowing simple and accurate schemes…”
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Boosting the computation of the matrix exponential Autor Sastre, J., Ibáñez, J., Defez, E.

“…•Two new Taylor algorithms for the computation of the matrix exponential are proposed.•They are based on matrix polynomial evaluation methods more efficient…”
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Computing high dimensional multiple integrals involving matrix exponentials Autor Naranjo-Noda, F.S., Jimenez, J.C.

“…This paper deals with the numerical computation of the high dimensional multiple integrals involving matrix exponentials that can be rewritten as the product…”
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On the relation between the exponential of real matrices and that of dual matrices Autor Liu, Chengdong, Wei, Yimin, Xie, Pengpeng

“…Dual number matrices play a significant role in engineering applications such as kinematics and dynamics. The matrix exponential is ubiquitous in screw-based…”
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Solutions of linear systems of moment differential equations via generalized matrix exponentials Autor Lastra, Alberto, Prisuelos-Arribas, Cruz

“…A generalized exponential matrix based on the construction of kernel operators for generalized summability is defined and analyzing its main properties,…”
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Spectral-diagonalization-based matrix exponential integration for efficient and stable solutions of full-Bloch equations in surface NMR Autor Lin, Tingting, Wang, Qingyue, Jiang, Chuandong, Ren, Chunpeng, Wang, Yunzhi, Wang, Liang

“…Surface nuclear magnetic resonance (SNMR) is a geophysical extension of nuclear magnetic resonance (NMR) that enables non-invasive mapping of subsurface…”
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Gradient flow-based modularity maximization for community detection in multiplex networks Autor Bergermann, Kai, Stoll, Martin

“…We propose two methods for the unsupervised detection of communities in undirected multiplex networks. These networks consist of multiple layers that record…”
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The Legendre Polynomial Axial Expansion Method Autor Herring, Nicholas F., Collins, Benjamin S., Downar, Thomas J., Graham, Aaron M.

“…This work presents a new formulation of the axial expansion transport method explicitly using Legendre polynomials for arbitrarily high-order expansions. This…”
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KIOPS: A fast adaptive Krylov subspace solver for exponential integrators Autor Gaudreault, Stéphane, Rainwater, Greg, Tokman, Mayya

“…•KIOPS, a new Krylov subspace algorithm for computing linear combinations of φ-functions is presented.•KIOPS uses the incomplete orthogonalization procedure…”
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