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A Block Lanczos Method for the CDT Subproblem
Journal of Computational Mathematics, 2019Summary: In this paper, we present a block Lanczos method for solving the large-scale CDT subproblem. During the algorithm, the original CDT subproblem is projected to a small-scale one, and then some classical methods are employed to solve this small-scale CDT subproblem to get a solution, which can be used to derive an approximate solution of the ...
Song, Liqiang, Yang, Weihong
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Generalized Lanczos method for signal smoothing
ICASSP '86. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005This paper proposes a new signal smoothing method which is applicable to any type of signal. This method is a direct extension of the Lanczos signal smoothing method for the truncated Fourier series. The method coincides with the classical Lanczos method if basis functions of a signal space are trigonometric functions. The proposed method is applied to
Atsushi Imiya +2 more
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Physics Letters A, 1991
Abstract A new version of the Rayleigh-Schrodinger perturbation theory with continued fractions is presented. Its main idea lies in the use of degenerate (finite-dimensional, exact) Lanczos bound states as its zero-order approximants. The structure and broad applicability of the new formulas is illustrated on the example V(r)= r 2 +λr 2
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Abstract A new version of the Rayleigh-Schrodinger perturbation theory with continued fractions is presented. Its main idea lies in the use of degenerate (finite-dimensional, exact) Lanczos bound states as its zero-order approximants. The structure and broad applicability of the new formulas is illustrated on the example V(r)= r 2 +λr 2
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Restarted block Lanczos bidiagonalization methods
Numerical Algorithms, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
James Baglama, Lothar Reichel
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Updating fermions with the Lanczos method
Journal of Computational Physics, 1987The Lanczos method is proposed for the Monte Carlo simulation of the QCD (lattice) vacuum including dynamical fermion loops. It appears that an exact fermion update is feasible on medium-sized lattices with today's vector processors.
Barbour, I. M +5 more
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Moment Methods and Lanczos Methods
1980In contrast to many of the speakers at this conference I am less interested in average properties of nuclei than in detailed spectroscopy. I will try to show, however, that the two are very closely connected and that shell-model calculations may be used to give a great deal of information not normally associated with the shell-model.
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Applications of the Lanczos method
Computer Physics Communications, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
Daniel Boley +3 more
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Lanczos Propagation and Reflection Methods
Integrated Photonics Research, 1992While wide-angle algorithms have recently been developed to describe the propagation of highly-divergent beams, only the first non-trivial wide-angle procedure, which is limited to beam half-widths below about 35 — 40°, can be efficiently implemented with standard numerical procedures.[1, 2] To circumvent this limitation, Lanczos recursion[3, 4] may be
David Yevick +3 more
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A Nested Lanczos Method for the Trust-Region Subproblem
SIAM Journal on Scientific Computing, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lei-Hong Zhang, Chungen Shen
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