Reconfigurable radio frequency (RF) system has recently emerged as a promising solution to cope with multiple communication standards and high spectrum density. In this paper, we propose a novel optimization framework to efficiently program a reconfigurable RF system. In particular, two novel techniques, including (i) search space reduction by adaptive resolution and (ii) global polynomial optimization based on branch and bound, are developed. When combined with a relaxation iteration scheme, our proposed method offers superior performance when programming a large-scale reconfigurable RF system designed for the WLAN 802.11g standard.