An Upgraded ACA Algorithm in Complex Field and Its Statistical Analysis

作者：Zhou, Hou-Xing^*; Zhu, Guang-Yu; Kong, Wei-Bin; Hong, Wei

来源：IEEE Transactions on Antennas and Propagation, 2017, 65(5): 2734-2739.

DOI：10.1109/TAP.2017.2670607

• epsilon-rank
• adaptive cross approximation (ACA) algorithm
• complex field
• pivoting threshold
• rank-deficient matrix
• relative-error estimator

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.

• 出版日期2017-5
• 单位东南大学; 盐城工学院