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This short note considers an efficient variant of the trust-region algorithmwith dynamic accuracy proposed Carter (1993) and Conn, Gould and Toint (2000)as a tool for very high-performance computing, an area where it is critical toallow multi-precision computations for keeping the energy dissipation undercontrol. Numerical experiments are presented indicating that the use of theconsidered method can bring substantial savings in objective function's andgradient's evaluation "energy costs" by efficiently exploiting multi-precisioncomputations.

A note on solving nonlinear optimization problems in variable precision