Results 51 to 60 of about 60,212 (199)
This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley +1 more source
Comments on new iterative methods for solving linear systems
Some new iterative methods were presented by Du, Zheng and Wang for solving linear systems in [3], where it is shown that the new methods, comparing to the classical Jacobi or Gauss-Seidel method, can be applied to more systems and have faster ...
Wang Ke, Tan Lijun, Wang Shiheng
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ABSTRACT Ab initio path integral Monte Carlo (PIMC) simulations constitute the gold standard for the estimation of a broad range of equilibrium properties of a host of interacting quantum many‐body systems spanning a broad range of conditions from ultracold atoms to warm dense quantum plasmas.
Paul Hamann +2 more
wiley +1 more source
On Rakhmanov’s theorem for Jacobi matrices [PDF]
We prove Rakhmanov’s theorem for Jacobi matrices without the additional assumption that the number of bound states is finite. This result solves one of Nevai’s open problems.
openaire +1 more source
The fused data extracted from the distributed monitoring system as the data basis, combined with dynamic geological data, are imported into a deep learning model. As the geological conditions of mining and excavation change, the risk of water inrush at the working face is retrieved in real time.
Yongjie Li +4 more
wiley +1 more source
Comparison Theorems for Single and Double Splittings of Matrices
Some comparison theorems for the spectral radius of double splittings of different matrices under suitable conditions are presented, which are superior to the corresponding results in the recent paper by Miao and Zheng (2009).
Cui-Xia Li, Qun-Fa Cui, Shi-Liang Wu
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A study of resolvent set for a class of band operators with matrix elements
For operators generated by a certain class of infinite three-diagonal matrices with matrix elements we establish a characterization of the resolvent set in terms of polynomial solutions of the underlying second order finite-difference equations.
Osipov Andrey
doaj +1 more source
Multimode/multicore fibers are expected to provide an attractive solution to overcome the capacity limit of the current optical communication system. In the presence of strong crosstalk between modes and/or cores, the squared singular values of the input/
Amor Nafkha, Nizar Demni
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Separation of variables for soliton equations via their binary constrained flows
Binary constrained flows of soliton equations admitting $2\times 2$ Lax matrices have 2N degrees of freedom, which is twice as many as degrees of freedom in the case of mono-constrained flows.
Wen-Xiu Ma, Yunbo Zeng, Zeng Y. B.
core +1 more source
On the calculation of Jacobi Matrices
AbstractGiven a Jacobi matrix, the problem in question is to find the Jacobi matrix corresponding to the weight function modified by a polynomial r. Galant and Gautschi derived algorithms, based on the generalized Christoffel theorem of Uvarov, applicable when the roots of r are known.
Kautsky, J, Golub, G.H
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