Results 21 to 30 of about 2,786 (218)

On the Preconditioned Delayed Weighted Gradient Method

open access: yesTrends in Computational and Applied Mathematics, 2023
In this article a preconditioned version of the Delayed Weighted Gradient Method (DWGM) is presented and analyzed.  In addition to the convergence, some nice properties as  the A- orthogonality of the current transformed gradient with all the previous ...
R. Aleixo, H. Lara Urdaneta
doaj   +1 more source

Toeplitz-like preconditioner for linear systems from spatial fractional diffusion equations [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2021
‎The article deals with constructing Toeplitz-like preconditioner for linear systems arising from finite difference discretization of the spatial fractional diffusion equations‎. ‎The coefficient matrices of these linear systems have an $S+L$ structure‎,
N. Akhoundi
doaj   +1 more source

Krylov subspace split Bregman methods [PDF]

open access: yes, 2023
Split Bregman methods are popular iterative methods for the solution of large-scale minimization problems that arise in image restoration and basis pursuit. This paper investigates the possibility of projecting large-scale problems into a Krylov subspace
Alotaibi, Majed   +2 more
core   +1 more source

Measurement-efficient quantum Krylov subspace diagonalisation [PDF]

open access: yesQuantum
The Krylov subspace methods, being one category of the most important classical numerical methods for linear algebra problems, can be much more powerful when generalised to quantum computing.
Zongkang Zhang   +3 more
doaj   +1 more source

Quantum Power Method by a Superposition of Time-Evolved States

open access: yesPRX Quantum, 2021
We propose a quantum-classical hybrid algorithm of the power method, here dubbed as the quantum power method, to evaluate H[over ^]^{n}|ψ⟩ with quantum computers, where n is a non-negative integer, H[over ^] is a time-independent Hamiltonian of interest,
Kazuhiro Seki, Seiji Yunoki
doaj   +1 more source

Krylov subspace methods for the Dirac equation [PDF]

open access: yesComputer Physics Communications, 2015
The Lanczos algorithm is evaluated for solving the time-independent as well as the time-dependent Dirac equation with arbitrary electromagnetic fields. We demonstrate that the Lanczos algorithm can yield very precise eigenenergies and allows very precise time propagation of relativistic wave packets.
Randolf Beerwerth, Heiko Bauke
openaire   +4 more sources

Solving Coupled Cluster Equations by the Newton Krylov Method

open access: yesFrontiers in Chemistry, 2020
We describe using the Newton Krylov method to solve the coupled cluster equation. The method uses a Krylov iterative method to compute the Newton correction to the approximate coupled cluster amplitude.
Chao Yang   +4 more
doaj   +1 more source

On Numerical Approximations of the Koopman Operator

open access: yesMathematics, 2022
We study numerical approaches to computation of spectral properties of composition operators. We provide a characterization of Koopman Modes in Banach spaces using Generalized Laplace Analysis.
Igor Mezić
doaj   +1 more source

Uzawa Algorithms for Fully Fuzzy Linear Systems

open access: yesInternational Journal of Computational Intelligence Systems, 2016
Recently, there have been many studies on solving different kinds of fuzzy equations. In this paper, the solution of a trapezoidal fully fuzzy linear system (FFLS) is studied.
H. Zareamoghaddam   +3 more
doaj   +1 more source

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