Revolutionizing Electronic Orbital Optimization
I’m thrilled to announce the publication of our paper, “Economical quasi-Newton unitary optimization of electronic orbitals,” in Physical Chemistry Chemical Physics on December 19, 2023. My heartfelt gratitude goes to my fellow authors: Samuel A. Slattery, Kshitijkumar A. Surjuse, Deborah A. Penchoff, and Edward F. Valeev for their invaluable contributions to this work.
Abstract
We present an efficient quasi-Newton orbital solver optimized to reduce the number of gradient evaluations and other computational steps of comparable cost. The solver optimizes orthogonal orbitals by sequences of unitary rotations generated by the (preconditioned) limited-memory Broyden–Fletcher–Goldfarb–Shanno (L-BFGS) algorithm equipped with trust-region step restriction. The low-rank structure of the L-BFGS inverse Hessian is exploited when solving the trust-region problem. The efficiency of the proposed “Quasi-Newton Unitary Optimization with Trust-Region” (QUOTR) solver is compared to that of the standard Roothaan–Hall approach accelerated by the Direct Inversion of Iterative Subspace (DIIS), and other exact and approximate Newton solvers for mean-field (Hartree–Fock and Kohn–Sham) problems.