An efficiency study of polynomial eigenvalue problem solvers for quantum dot simulations

Tsung Ming Huang, Weichung Wang, Chang Tse Lee

研究成果: 雜誌貢獻期刊論文同行評審

2 引文 斯高帕斯(Scopus)

摘要

Nano-scale quantum dot simulations result in large-scale polynomial eigenvalue problems. It remains unclear how these problems can be solved efficiently. We fill this gap in capability partially by proposing a polynomial Jacobi-Davidson method framework, including several varied schemes for solving the associated correction equations. We investigate the performance of the proposed Jacobi-Davidson methods for solving the polynomial eigenvalue problems and several Krylov subspace methods for solving the linear eigenvalue problems with the use of various linear solvers and preconditioning schemes. This study finds the most efficient scheme combinations for different types of target problems.

原文英語
頁(從 - 到)999-1021
頁數23
期刊Taiwanese Journal of Mathematics
14
發行號3 A
DOIs
出版狀態已發佈 - 2010 六月

ASJC Scopus subject areas

  • Mathematics(all)

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