Accelerated multimodel Newton-type algorithms for faster convergence of ground and excited state coupled cluster equations

التفاصيل البيبلوغرافية
العنوان: Accelerated multimodel Newton-type algorithms for faster convergence of ground and excited state coupled cluster equations
المؤلفون: Kjønstad, Eirik F., Folkestad, Sarai D., Koch, Henrik
سنة النشر: 2020
المجموعة: Physics (Other)
مصطلحات موضوعية: Physics - Chemical Physics
الوصف: We introduce a multimodel approach to solve coupled cluster equations, employing a quasi Newton algorithm for the ground state and an Olsen algorithm for the excited states. In these algorithms, both of which can be viewed as Newton algorithms, the Jacobian matrix of a lower level coupled cluster model is used in Newton equations associated with the target model. Improvements in convergence then implies savings for sufficiently large molecular systems, since the computational cost of macroiterations scales more steeply with system size than the cost of microiterations. The multimodel approach is suitable when there is a lower level Jacobian matrix that is much more accurate than the zeroth order approximation. Applying the approach to the CC3 equations, using the CCSD approximation of the Jacobian, we show that the time spent to determine the ground and valence excited states can be significantly reduced. We also find improved convergence for core excited states, indicating that similar savings will be obtained with an explicit implementation of the core-valence separated CCSD Jacobian transformation.
Comment: 22 pages and 3 figures
نوع الوثيقة: Working Paper
DOI: 10.1063/5.0010989
URL الوصول: http://arxiv.org/abs/2004.07773
رقم الأكسشن: edsarx.2004.07773
قاعدة البيانات: arXiv