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Article
Density-Matrix-Based Algorithms for Solving Eingenvalue Problems
Physical Review B
(2009)
Abstract
A fast and stable numerical algorithm for solving the symmetric eigenvalue problem is presented. The technique deviates fundamentally from the traditional Krylov subspace iteration based techniques (Arnoldi and Lanczos algorithms) or other Davidson-Jacobi techniques and takes its inspiration from the contour integration and density-matrix representation in quantum mechanics. It will be shown that this algorithm—named FEAST—exhibits high efficiency, robustness, accuracy, and scalability on parallel architectures. Examples from electronic structure calculations of carbon nanotubes are presented, and numerical performances and capabilities are discussed.
Disciplines
Publication Date
2009
Publisher Statement
DOI:10.1103/PhysRevB.79.115112
© 2009 The American Physical Society
Citation Information
Eric Polizzi. "Density-Matrix-Based Algorithms for Solving Eingenvalue Problems" Physical Review B Vol. 79 Iss. 11 (2009) Available at: http://works.bepress.com/eric_polizzi/2/