Results 21 to 30 of about 74,666 (264)
Particle flow simulation of Brazilian splitting failure characteristics of layered shale
Shale reservoir is the research hotspot in the development of unconventional oil and gas resources. The properties of bedding plane have an important influence on the mechanical behavior of shale.
Feng Sun +4 more
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A Matrix Splitting Perspective on Planning with Options
We show that the Bellman operator underlying the options framework leads to a matrix splitting, an approach traditionally used to speed up convergence of iterative solvers for large linear systems of equations. Based on standard comparison theorems for matrix splittings, we then show how the asymptotic rate of convergence varies as a function of the ...
Pierre-Luc Bacon, Doina Precup
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Splitting the spectral flow and the Alexander matrix
This paper studies the problem of computing the spectral flow \(\text{SF} (\alpha, \beta)\) of the Atiyah-Patodi-Singer operator between two flat SU(2)-connexions \(\alpha, \beta\) on a 3-manifold \(Z\), when \(Z\) is split along a torus so that \(\alpha,\beta\) can be connected by a path of flat connexions on each piece.
Kirk, P., Klassen, E., Ruberman, D.
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A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations
A relaxed splitting preconditioner based on matrix splitting is introduced in this paper for linear systems of saddle point problem arising from numerical solution of the incompressible Navier-Stokes equations.
Ning-Bo Tan, Ting-Zhu Huang, Ze-Jun Hu
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The centered difference discretization of the spatial fractional coupled nonlinear Schrödinger equations obtains a discretized linear system whose coefficient matrix is the sum of a real diagonal matrix D and a complex symmetric Toeplitz matrix T̃ which ...
Ruiping Wen, Peipei Zhao
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On the convergence of two-step modulus-based matrix splitting iteration method
In this paper, based on the relationship between the linear complementarity problem and its reformulated fixed-point equation, we discuss the conditions of the modulus-based type iteration methods. Moreover, we present some convergence results on the two-
Fang Ximing, Fu Shouzhong, Gu Ze
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Electron tunneling in the germanium/silicon heterostructure with germanium quantum dots: theory
It is shown that electron tunneling through a potential barrier that separates two quantum dots of germanium leads to the splitting of electron states localized over spherical interfaces (a quantum dot – a silicon matrix).
S. I. Pokutnyi, N. G. Shkoda
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A Matrix Splitting Method for Composite Function Minimization [PDF]
Composite function minimization captures a wide spectrum of applications in both computer vision and machine learning. It includes bound constrained optimization and cardinality regularized optimization as special cases. This paper proposes and analyzes a new Matrix Splitting Method (MSM) for minimizing composite functions.
Yuan, Ganzhao +2 more
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A relaxed block splitting preconditioner for complex symmetric indefinite linear systems
In this paper, we propose a relaxed block splitting preconditioner for a class of complex symmetric indefinite linear systems to accelerate the convergence rate of the Krylov subspace iteration method and the relaxed preconditioner is much closer to the ...
Huang Yunying, Chen Guoliang
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Splitting and combination are two important events of group target motion. However, the existing tracking approaches for group target splitting and combination events suffer the problems of high-computational cost and low accuracy.
Linhai Gan, Gang Wang
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