  In this paper, a hybrid IRS-aided amplify-and-forward (AF) relay wireless
network is put forward, where the hybrid IRS is made up of passive and active
elements. For maximum signal-to-noise ratio (SNR), a low-complexity method
based on successive convex approximation and fractional programming (LC-SCA-FP)
is proposed to jointly optimize the beamforming matrix at AF relay and the
reflecting coefficient matrices at IRS. Simulation results verify that the rate
achieved by the proposed LC-SCA-FP method surpass those of the benchmark
schemes, namely the passive IRS-aided AF relay and only AF relay network.
