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Improving comparison results on preconditioned generalized accelerated overrelaxation methods
Guangbin Wang,Deyu Sun 한국전산응용수학회 2015 Journal of applied mathematics & informatics Vol.33 No.1
In this paper, we present preconditioned generalized accelerated overrelaxation (GAOR) methods for solving weighted linear least square problems. We compare the spectral radii of the iteration matrices of the preconditioned and the original methods. The comparison results show that the preconditioned GAOR methods converge faster than the GAOR method whenever the GAOR method is convergent. Finally, we give a numerical example to confirm our theoretical results.
IMPROVING COMPARISON RESULTS ON PRECONDITIONED GENERALIZED ACCELERATED OVERRELAXATION METHODS
Wang, Guangbin,Sun, Deyu The Korean Society for Computational and Applied M 2015 Journal of applied mathematics & informatics Vol.33 No.1
In this paper, we present preconditioned generalized accelerated overrelaxation (GAOR) methods for solving weighted linear least square problems. We compare the spectral radii of the iteration matrices of the preconditioned and the original methods. The comparison results show that the preconditioned GAOR methods converge faster than the GAOR method whenever the GAOR method is convergent. Finally, we give a numerical example to confirm our theoretical results.
PRECONDITIONED AOR ITERATIVE METHOD FOR Z-MATRICES
Wang, Guangbin,Zhang, Ning,Tan, Fuping The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.5
In this paper, we present a preconditioned iterative method for solving linear systems Ax = b, where A is a Z-matrix. We give some comparison theorems to show that the rate of convergence of the new preconditioned iterative method is faster than the rate of convergence of the previous preconditioned iterative method. Finally, we give one numerical example to show that our results are true.
PRECONDITIONED AOR ITERATIVE METHOD FOR Z-MATRICES
Guangbin Wang,Ning Zhang,Fuping Tan 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.5
In this paper, we present a preconditioned iterative method for solving linear systems Ax = b, where A is a Z-matrix. We give some comparison theorems to show that the rate of convergence of the new preconditioned iterative method is faster than the rate of convergence of the previous preconditioned iterative method. Finally, we give one numerical example to show that our results are true.
Le Wang,Qing Chen,Jianxiang Xi,Guangbin Liu 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.5
The current paper studies the guaranteed-performance consensualization for general high-order multiagentsystems with intermittent communications. Firstly, a new consensus protocol is constructed by using only intermittentlocal information, and the corresponding performance function is given to guarantee the consensus regulationperformance among neighboring agents. Then, linear matrix inequality conditions for guaranteed-performanceconsensus and consensualization are respectively provided and a guaranteed-performance cost of multi-agent systemsis determined meanwhile. Furthermore, the whole motion mode of the multi-agent system can be described byderiving a precise expression of the consensus function. If the nominal converge rate is larger than a positive threshold,then multi-agent systems can achieve guaranteed-performance consensus by determining the gain matrix whenintermittent communications are involved, and the performance function is less than the guaranteed-performancecost. Finally, a simulation example is shown to demonstrate the effectiveness of the proposed theorems.
Reduction of Graphene Oxide and its Effect on Square Resistance of Reduced Graphene Oxide Films
Zhaoxia Hou,Yin Zhou,Guangbin Li,Shaohong Wang,Meihan Wang,Xiaodan Hu,Siming Li 대한화학회 2015 Bulletin of the Korean Chemical Society Vol.36 No.6
Graphite oxide was prepared via the modified Hummers’ method and graphene via chemical reduction. Deoxygenation efficiency of graphene oxide was compared among single reductants including sodium borohydride, hydrohalic acids, hydrazine hydrate, and vitamin C. Two-step reduction of graphene oxide was primarily studied. The reduced graphene oxide was characterized by XRD, TG, SEM, XPS, and Raman spectroscopy. Square resistance was measured as well. Results showed that films with single-step N2H4 reduction have the best transmittance and electrical conductivity with square resistance of ~5746 Ω/sq at 70% transmittance. This provided an experimental basis of using graphene for electronic device applications.