@inproceedings{78ce4c79225344cf86a8f340a2631a38,
title = "Operator Newton iterative convergence for time dependent density functional theory",
abstract = "In a recent publication, the author has established the existence of a unique weak solution of the initial/boundaryvalue problem for a closed quantum system modeled by time dependent density function theory (TDDFT). We describe a Newton iteration, based upon the technique used to prove (unique) existence for the TDDFT model.We show that successive approximation at the operator level, based upon the evolution operator, is sufficient to obtain a 'starting iterate' for Newton's method. We discuss the so-called quadratic convergence associated with Newton's method. In the process, we obtain a Kantorovich type theorem for TDDFT.",
keywords = "Approximation methods, Convergence, Correlation, Density functional theory, Mathematical model, Newton method, Presses",
author = "Jerome, {Joseph W.}",
note = "Publisher Copyright: {\textcopyright} 2015 IWCE.; 18th International Workshop on Computational Electronics, IWCE 2015 ; Conference date: 02-09-2015 Through 04-09-2015",
year = "2015",
month = oct,
day = "19",
doi = "10.1109/IWCE.2015.7301967",
language = "English (US)",
series = "18th International Workshop on Computational Electronics, IWCE 2015",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
booktitle = "18th International Workshop on Computational Electronics, IWCE 2015",
address = "United States",
}