A Reusable Library for Second-Order Orbital Optimization Using the Trust Region Method

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Authors: Jonas Greiner, Ida‐Marie Høyvik, Susi Lehtola, Janus J. Eriksen
Cited by: 2
References: 171

Abstract

We present a reusable, open-source software implementation of the second-order trust region algorithm in the new OpenTrustRegion library. We apply the implementation to the general-purpose optimization of molecular orbitals in various contexts within electronic-structure theory. Our permissibly licensed implementation can be included in any software package, be it free and open-source, academically licensed closed-source, or commercial. Detailing the implementation in OpenTrustRegion, we present a review of the theory behind trust region-based methods alongside various extensions. We demonstrate the robustness and efficiency of our optimization library with extensive benchmarks for self-consistent field calculations, orbital localization, as well as orbital symmetrization tasks, featuring challenging and pathological systems.

Fields of Study & Subjects

Machine Learning in Materials Science Advanced Chemical Physics Studies Molecular spectroscopy and chirality

Publication details

Journal / source
Journal of Chemical Theory and Computation
Publisher
American Chemical Society (ACS)
Volume
22
Issue
2
Pages
881–895
Publication date
13 January 2026
Language
EN