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We consider a reconfigurable intelligent surface (RIS) assistedmultiple-input multiple-output (MIMO) system in the presence of scatteringobjects. The MIMO transmitter and receiver, the RIS, and the scattering objectsare modeled as mutually coupled thin wires connected to load impedances. Weintroduce a novel numerical algorithm for optimizing the tunable loadsconnected to the RIS, which does not utilize the Neumann series approximation.The algorithm is provably convergent, has polynomial complexity with the numberof RIS elements, and outperforms the most relevant benchmark algorithms whilerequiring fewer iterations and converging in a shorter time.

Optimization of RIS-Aided MIMO -- A Mutually Coupled Loaded Wire Dipole Model