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An Upgraded ACA Algorithm in Complex Field and Its Statistical Analysis

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An upgraded adaptive cross approximation (U-ACA) algorithm in complex field is proposed, including detailed discussion about both relative-error estimator and pivoting threshold. Two new relative-error estimators are constructed, and the… Click to show full abstract

An upgraded adaptive cross approximation (U-ACA) algorithm in complex field is proposed, including detailed discussion about both relative-error estimator and pivoting threshold. Two new relative-error estimators are constructed, and the range of the pivoting threshold is determined theoretically. Besides, a statistical analysis of the U-ACA algorithm for computational electromagnetics is provided to identify the credibility of existing relative-error estimators and new ones. The statistical experiments show that the U-ACA algorithm with either of the two new relative-error estimators is a more robust algorithm at present for applications in computational electromagnetics, compared with the previous ACA algorithm.

Keywords: algorithm complex; relative error; statistical analysis; complex field; aca algorithm

Journal Title: IEEE Transactions on Antennas and Propagation
Year Published: 2017

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