Results 21 to 30 of about 2,786 (218)
On the Preconditioned Delayed Weighted Gradient Method
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
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Toeplitz-like preconditioner for linear systems from spatial fractional diffusion equations [PDF]
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
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Krylov subspace split Bregman methods [PDF]
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
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Measurement-efficient quantum Krylov subspace diagonalisation [PDF]
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
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KRYLOV SUBSPACE METHODS FOR SOLVING LARGE LYAPUNOV EQUATIONS [PDF]
Published ...
KASENALLY, EM, JAIMOUKHA, IM
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Quantum Power Method by a Superposition of Time-Evolved States
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
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Krylov subspace methods for the Dirac equation [PDF]
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
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Solving Coupled Cluster Equations by the Newton Krylov Method
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
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On Numerical Approximations of the Koopman Operator
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
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Uzawa Algorithms for Fully Fuzzy Linear Systems
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
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