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Network localization enables a variety of new applications that rely on the positional information of nodes. High-accuracy network localization is challenging in harsh propagation environments (such as indoor) and is limited by power emission constraints. We devise non-regenerative ultra-wideband relaying to improve the performance of network localization in terms of coverage and accuracy. Maximum likelihood inference of nodes' position for relayed network localization is developed, with perfect and imperfect channel knowledge. Results quantify the performance improvement that non-regenerative relaying offers despite its low-complexity.