Results 11 to 20 of about 1,759 (181)
Advanced Engineering Research, 2023 Introduction. The widespread use of piezoelectric materials in various industries stimulates the study of their physical characteristics and determines the urgency of such research.
P. A. Oganesyan, O. O. Shtein
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Operator growth and Krylov complexity in Bose-Hubbard model
Journal of High Energy Physics, 2023 We study Krylov complexity of a one-dimensional Bosonic system, the celebrated Bose-Hubbard Model. The Bose-Hubbard Hamiltonian consists of interacting bosons on a lattice, describing ultra-cold atoms.
Arpan Bhattacharyya +2 more
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A Lanczos method for approximating composite functions [PDF]
Applied Mathematics and Computation, 2012 We seek to approximate a composite function h(x) = g(f(x)) with a global polynomial. The standard approach chooses points x in the domain of f and computes h(x) at each point, which requires an evaluation of f and an evaluation of g. We present a Lanczos-based procedure that implicitly approximates g with a polynomial of f. By constructing a quadrature
Paul G. Constantine, Eric T. Phipps
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Algorithmic Error Mitigation Scheme for Current Quantum Processors [PDF]
Quantum, 2021 We present a hardware agnostic error mitigation algorithm for near term quantum processors inspired by the classical Lanczos method. This technique can reduce the impact of different sources of noise at the sole cost of an increase in the number of ...
Philippe Suchsland +5 more
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Double k-Grid Method for Solving the Bethe-Salpeter Equation via Lanczos Approaches
Frontiers in Chemistry, 2022 Convergence with respect to the size of the k-points sampling grid of the Brillouin zone is the main bottleneck in the calculation of optical spectra of periodic crystals via the Bethe-Salpeter equation (BSE).
Ignacio M. Alliati +2 more
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Journal of Mathematical and Fundamental Sciences, 2018 A new method to treat the inherent instability of Lanczos-type algorithms is introduced. It enables us to capture the properties of the sequence of iterates generated by a Lanczos-type algorithm by interpolating on this sequence of points.
Maharani +2 more
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Low Complexity Precoding Based on Lanczos Method in Massive MIMO System [PDF]
Jisuanji gongcheng, 2019 Aiming at the problem that the computational complexity of the required matrix inversion of Zero Forcing(ZF) precoding matrix is very high due to the large number of antennas and users in large-scale MIMO systems,a low complexity ZF precoding scheme ...
CAO Haiyan,ZHOU Dong,FANG Xin,WANG Xiumin
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Physics, 2022 Nuclear shell model is a powerful approach to investigate nuclear structure microscopically. However, the computational cost of shell-model calculations becomes huge in medium-heavy nuclei.
Noritaka Shimizu
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SoftNet: A Package for the Analysis of Complex Networks
Algorithms, 2022 Identifying the most important nodes according to specific centrality indices is an important issue in network analysis. Node metrics based on the computation of functions of the adjacency matrix of a network were defined by Estrada and his collaborators
Caterina Fenu +2 more
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The Short-Term Rational Lanczos Method and Applications
SIAM Journal on Scientific Computing, 2022 Rational Krylov subspaces have become a reference tool in dimension reduction procedures for several application problems. When data matrices are symmetric, a short-term recurrence can be used to generate an associated orthonormal basis. In the past this procedure was abandoned because it requires twice the number of linear system solves per iteration ...
Davide Palitta +2 more
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