Results 1 to 10 of about 16,441 (164)
Introduction of Interpolation and Extrapolation Model in Lanczos-type Algorithms A13/B6 and A13/B13 to Enhance their Stability [PDF]
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
doaj +4 more sources
Lanczos algorithm explained in statistics
Results in Applied MathematicsThe Lanczos algorithm is a well-known three-term recurrence that can be used to generate an orthogonal basis for a Krylov subspace derived by a symmetric matrix.
Qiang Niu, Mianmian Chen, Jinheng Wu
doaj +2 more sources
A Lanczos algorithm for linear response
, 1998 12 pages including 3 figures ...
Johnson, C. W. +2 more
openaire +3 more sources
Land cover classification of high-resolution remote sensing images based on improved spectral clustering. [PDF]
PLoS ONEApplying unsupervised classification techniques on remote sensing images enables rapid land cover classification. Using remote sensing imagery from the ZY1-02D satellite's VNIC and AHSI cameras as the basis, multi-source feature information encompassing ...
Song Wu, Jian-Min Cao, Xin-Yu Zhao
doaj +2 more sources
Interplay of Spin Nernst Effect and Entanglement Negativity in Layered Ferrimagnets: A Study via Exact Diagonalization [PDF]
EntropyIn this paper, we analyzed the influence of the spin Nernst effect on quantum correlation in a layered ferrimagnetic model. In the study of three-dimensional ferrimagnets, the focus is on materials with a specific arrangement of spins, where the ...
Leonardo S. Lima
doaj +2 more sources
Cauchy-Lanczos Algorithm for Effective Dimension Reduction
IEEE AccessThe aim of dimension reduction techniques is to eliminate unnecessary information from extensive datasets, thereby enhancing the effectiveness of data analysis.
Xuansheng Wang +2 more
doaj +2 more sources
Exact and efficient Lanczos method on a quantum computer [PDF]
Quantum, 2023 We present an algorithm that uses block encoding on a quantum computer to exactly construct a Krylov space, which can be used as the basis for the Lanczos method to estimate extremal eigenvalues of Hamiltonians.
William Kirby +2 more
doaj +1 more source
Krylov complexity of many-body localization: Operator localization in Krylov basis
SciPost Physics, 2022 We study the operator growth problem and its complexity in the many-body localization (MBL) system from the Lanczos algorithm perspective. Using the Krylov basis, the operator growth problem can be viewed as a single-particle hopping problem on a semi ...
Fabian Ballar Trigueros, Cheng-Ju Lin
doaj +1 more source
IEEE Access, 2023 In this paper, the symmetric Lanczos algorithm and mixed finite element method are combined to improve the efficiency and accuracy of S-parameter simulation in a broad frequency band.
Ke Chen +4 more
doaj +1 more source
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
doaj +1 more source