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The ability to solve large linear systems efficiently has been a key part of building a successful circuit simulator such as ones for power grid analysis. Partition-based iterative methods have been widely adopted due to their divide-and-conquer nature and amenability to parallel implementation. However such methods rely heavily on the quality of circuit graph partitioning, and it is extremely challenging...
The simplified quasi-cubics function is used quite common in the ordinary differential equation, which is used to describe the biological neuron model. As complexity of the biological neuron model, its analytical solution hardly can be solved in common situation. Numerical solution of the model is very important in reality. Three fast convergence methods are proposed for the simplified function by...
This paper considers an optimization problem for minimizing the power consumption of MEMS-based devices. We first map the time-consuming problem from the integer space Zn to the Euclidean space Rn and employ a gradient-based method to solve the mapped problem in Rn. The great strength of the proposed method lies in its linear convergence. Experimental results show that significant energy can be saved...
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