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An Improved Subspace-Based Optimization Method and Its Implementation in Solving Three-Dimensional Inverse Problems

机译:一种改进的基于子空间的优化方法及其在求解三维逆问题中的实现

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This paper proposes an improved subspace-based optimization method (SOM) by using a new construction method for the ambiguous part of the induced current. The new current construction method reduces not only the computational complexity of the current construction in every iteration of the optimization but also the computational complexity of the singular-value decomposition of the mapping from the induced current to scattered fields. Thus, the improved SOM is able to deal with the 3-D inverse-scattering problems. Numerical tests validate the algorithm.
机译:本文针对感应电流的模糊部分提出了一种新的构造方法,提出了一种改进的基于子空间的优化方法。新的电流构造方法不仅降低了优化每次迭代中电流构造的计算复杂性,而且降低了从感应电流到散射场的映射的奇异值分解的计算复杂性。因此,改进的SOM能够处理3-D逆散射问题。数值测试验证了该算法。

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