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Atomistic simulations of out-of-equilibrium quantum nuclear dynamics. [PDF]
Libbi F +3 more
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The role of artificial intelligence and deep learning in determining the histopathological grade of pancreatic neuroendocrine tumors by using EUS images. [PDF]
Kiremitci S +5 more
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Nested Lanczos: implicitly restarting an unsymmetric Lanczos algorithm
Numerical Algorithms, 1998The paper presents a generalization of the concept of implicitly restarting and iterative algorithm to the Lanczos method for eigenvalue problems. It is shown that a full run of the Lanczos algorithm on the small, projected eigenvalue problem generates a biorthogonal factorization for the Lanczos bases.
De Samblanx, Gorik, Bultheel, Adhemar
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On randomized Lanczos algorithms
Proceedings of the 1997 international symposium on Symbolic and algebraic computation - ISSAC '97, 1997Las Vegas algorithms that are based on Lanczos’s method for solving symmetric linear systems are presented and analyzed. These are compared to a similar randomized Lanczos algorithm that has been used for integer factorization, and to the (provably reliable) algorithm of Wiedemann.
Wayne Eberly, Erich Kaltofen
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Modified explicitly restarted Lanczos algorithm
Computer Physics Communications, 1998Convergence acceleration and optimization in computing eigenvectors and eigenvalues of very large sparse matrices is obtained by the modified explicitly restarted Lanczos method. The proposed algorithm can calculate the multiplicities of eigenvalues, the required memory is small, and it can be easily implemented.
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Two-Sided Arnoldi and Nonsymmetric Lanczos Algorithms
SIAM Journal on Matrix Analysis and Applications, 2002The paper proposes a new two-sided block Arnoldi recursion in order to define a model reduction procedure for large, linear, time-invariant, multi-input/multi-output differential algebraic systems. This procedure is proved to have maximum block moment properties.
Cullum, Jane, Zhang, Tong
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Algorithmic Fault Tolerance Using the Lanczos Method
SIAM Journal on Matrix Analysis and Applications, 1992The problem of algorithm-based fault tolerance is considered. It is shown how very general sequences of polynomials can be used to generate the checksums, so as to reduce the chance of numerical overflows. Further it is shown how a clever use of the Lanczos algorithm can be applied in the error location and correction steps, so as to save on the amount
Boley, Daniel L. +3 more
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Improved Lanczos Algorithms for Blackbox MRS Data Quantitation
Journal of Magnetic Resonance, 2002Magnetic resonance spectroscopy (MRS) has been shown to be a potentially important medical diagnostic tool. The success of MRS depends on the quantitative data analysis, i.e., the interpretation of the signal in terms of relevant physical parameters, such as frequencies, decay constants, and amplitudes.
Laudadio T +4 more
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BiCG/QMR and Lanczos algorithms
2020In this chapter we describe Krylov methods using short recurrences, like Lanczos algorithms, BiCG, and QMR which use biorthogonal bases of the Krylov subspaces.
Gérard Meurant, Jurjen Duintjer Tebbens
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