Results 21 to 30 of about 22,526 (213)
Lanczos algorithm with Matrix Product States for dynamical correlation functions [PDF]
, 2012 The density-matrix renormalization group (DMRG) algorithm can be adapted to the calculation of dynamical correlation functions in various ways which all represent compromises between computational efficiency and physical accuracy.
A. Honecker +8 more
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Uniform Error Estimates for the Lanczos Method [PDF]
SIAM Journal on Matrix Analysis and Applications, 2021 The Lanczos method is one of the most powerful and fundamental techniques for solving an extremal symmetric eigenvalue problem. Convergence-based error estimates depend heavily on the eigenvalue gap. In practice, this gap is often relatively small, resulting in significant overestimates of error.
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Comparison of Doubling the Size of Image Algorithms
Моделирование и анализ информационных систем, 2016 In this paper the comparative analysis for quality of some interpolation non-adaptive methods of doubling the image size is carried out. We used the value of a mean square error for estimation accuracy (quality) approximation.
S. E. Vaganov, S. I. Khashin
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Lanczos method for spatio‐temporal graph convolutional networks to forecast expressway flow
IET Intelligent Transport Systems, 2023 Traffic forecasting has made pronounced progress with the development of graph convolution networks and the use of the topology of road networks. However, existing works face some limitations when it comes to modelling spatial dependencies.
Zhumei Gou, Yonggang Shen, Shuifu Chen
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Krylov complexity and orthogonal polynomials
Nuclear Physics B, 2022 Krylov complexity measures operator growth with respect to a basis, which is adapted to the Heisenberg time evolution. The construction of that basis relies on the Lanczos algorithm, also known as the recursion method.
Wolfgang Mück, Yi Yang
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An extrapolation method for shell model calculations [PDF]
, 2002 We propose a new shell model method, combining the Lanczos digonalization and extrapolation method. This method can give accurate shell model energy from a series of shell model calculations with various truncation spaces, in a well-controlled manner ...
A. Poves +26 more
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Lanczos methods for UV-suppressed fermions [PDF]
Nuclear Physics B - Proceedings Supplements, 2003 In this talk I indroduce lattice fermions with suppressed cutoff modes. Then I present Lanczos based methods for stochastic evaluation of the fermion determinant.
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Accuracy of the finite-temperature Lanczos method compared to simple typicality-based estimates
Physical Review Research, 2020 We study trace estimators for equilibrium thermodynamic observables that rely on the idea of typicality and derivatives thereof such as the finite-temperature Lanczos method (FTLM). As numerical examples quantum spin systems are studied.
Jürgen Schnack +2 more
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On large-scale diagonalization techniques for the Anderson model of localization [PDF]
, 2005 We propose efficient preconditioning algorithms for an eigenvalue problem arising in quantum physics, namely the computation of a few interior eigenvalues and their associated eigenvectors for large-scale sparse real and symmetric indefinite matrices of ...
Brandes T. +6 more
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Augmented Implicitly Restarted Lanczos Bidiagonalization Methods
SIAM Journal on Scientific Computing, 2005 Summary: New restarted Lanczos bidiagonalization methods for the computation of a few of the largest or smallest singular values of a large matrix are presented. Restarting is carried out by augmentation of Krylov subspaces that arise naturally in the standard Lanczos bidiagonalization method.
Baglama, James, Reichel, Lothar
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