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The interpolative decomposition (ID) has been employed to find the skeleton excitations for the applications where many incidents have to be repeatedly solved. The algorithm is accuracy controllable and efficient. However, the peak memory usage may be the bottleneck of the decomposition when the number of unknowns and that of incidents become large. In this work, the parallel ID is developed to alleviate...
For applications with many right-hand sides (RHSs), to avoid the solution of different RHSs repeatedly, previous work has employed the interpolative decomposition (ID) to figure out skeleton RHSs by exploiting the rank deficient property of the RHS matrix B for a system with unknowns. However, the peak memory requirement for the skeletonization may degrade the performance of the previously...
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