The iterative adaptive approach (IAA) can achieve accurate source localization with single snapshot, and therefore\r\nit has attracted significant interest in various applications. In the original IAA, the optimal filter is performed for\r\nevery scanning angle grid in each iteration, which may cause the slow convergence and disturb the spatial\r\nestimates on the impinging angles of sources. In this article, we propose an efficient implementation of IAA (EIAA)\r\nby modifying the use of the optimal filtering, i.e., in each iteration of EIAA, the optimal filter is only utilized to\r\nestimate the spatial components likely corresponding to the impinging angles of sources, and other spatial\r\ncomponents corresponding to the noise are updated by the simple correlation of the basis matrix with the\r\nresidue. Simulation results show that, in comparison with IAA, EIAA has significant higher computational efficiency\r\nand comparable accuracy of source angle and power estimation
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