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Using the convex structure of positive operator value measurements and several quantities used in quantum metrology, such as quantum Fisher information or the quantum Van Trees information, we present an efficient numerical method to find the best strategy allowed by quantum mechanics to estimate a parameter. This method explores extremal measurements thus providing a significant advantage over previously used methods. We exemplify the method for different cost functions in a qubit and in adoi:10.1038/s41598-020-65934-w pmid:32523002 pmcid:PMC7286896 fatcat:hqr6c3cnovbyzndm6srvd7v244