Recursive residue generation method for laser-molecule interaction: Utilization of structured sparsity

DOI10.1016/0021-9991(85)90111-1zbMath0578.65030OpenAlexW2017556010MaRDI QIDQ1066616

Robert E. Wyatt, José E. Castillo

Publication date: 1985

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(85)90111-1

zbMATH Keywords

HamiltonianLanczos algorithmtransition probabilitiesmany-state quantum systemsrecursive residue generation method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Many-body theory; quantum Hall effect (81V70)

Cites Work

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• A new look at the Lanczos algorithm for solving symmetric systems of linear equations
• Computing eigenvalues of very large symmetric matrices. An implementation of a Lanczos algorithm with no reorthogonalization
• A desirable form for sparse matrices when computing their inverse in factored forms
• The Lanczos Algorithm with Selective Orthogonalization

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