“…In the realm of continuous IRS beamforming, two standard optimization tools-semidefinite relaxation (SDR) [35] and fractional programming (FP) [36], [37]-have been brought to the fore to address the nonvexity of the IRS beamforming problem. For instance, [7], [12], [14], [15], [19], [20], [38] suggest using SDR because of the quadratic programming form of the IRS beamforming problem, while [5], [11], [13], [17], [18], [21], [23], [23], [34] invoke FP to deal with the fractional function of the signal-to-interference-plus-noise ratio (SINR). Moreover, [22] develops a unified Riemannian conjugate gradient algorithm to enable interference alignment in an IRS-assisted system, [10], [16] cope with the nonconvex beamforming problem via successive convex approximation, [6] relies on the minorization-maximization (MM) to address the hardware impairments in the IRS beamforming problem, and [3], [19] suggest a decentralized beamforming scheme based on alternating direction method of multipliers (ADMM).…”