In this paper, we investigate an enhanced relay beamforming design for two-way relay networks (TWRN). In order to\nreduce the computational complexity, we derive a sum of the inverse of the signal-to-noise ratio (SI-SNR) problem\nequivalent to the objective sum-rate (SR) problem. The SI-SNR problem can be reformulated as a simple optimization\nproblem by using the Cholesky decomposition and Cauchy-Schwarz inequality, and solved by the interior-point\nmethod. The numerical results show that the proposed SI-SNR method can not only reduce the computational\ncomplexity but also have the same SR performance as that of the conventional works
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