Results 1 to 10 of about 629 (136)
Flexible Krylov Methods for Edge Enhancement in Imaging [PDF]
Journal of Imaging, 2021 Many successful variational regularization methods employed to solve linear inverse problems in imaging applications (such as image deblurring, image inpainting, and computed tomography) aim at enhancing edges in the solution, and often involve non ...
Silvia Gazzola +2 more
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Shortcuts to Adiabaticity in Krylov Space
Physical Review XShortcuts to adiabaticity provide fast protocols for quantum state preparation in which the use of auxiliary counterdiabatic controls circumvents the requirement of slow driving in adiabatic strategies.
Kazutaka Takahashi, Adolfo del Campo
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A dual reduction strategy for reduce-order modeling of periodic control system
Results in Control and Optimization, 2021 Model order reduction (MOR) of periodic systems using the Krylov subspace methods received lots of interest in last few decades. In this paper, a structured Krylov subspace based model reduction for linear discrete-time periodic (LDTP) control system has
Mohammad-Sahadet Hossain +2 more
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Kaczmarz method for saddle point systems [PDF]
E3S Web of Conferences, 2021 The Kaczmarz method is presented for solving saddle point systems. The convergence is analyzed. Numerical examples, compared with classical Krylov subspace methods, SOR-like method (2001) and recent modified SOR-like method (2014), show that the Kaczmarz
Wang Jinmei, Yin Lizi, Wang Ke
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A Flexible Extended Krylov Subspace Method for Approximating Markov Functions of Matrices
Mathematics, 2023 A flexible extended Krylov subspace method (F-EKSM) is considered for numerical approximation of the action of a matrix function f(A) to a vector b, where the function f is of Markov type.
Shengjie Xu, Fei Xue
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A Preconditioned Fast Collocation Method for a Linear Nonlocal Diffusion Model in Convex Domains
IEEE Access, 2020 Recently, there are many papers dedicated to develop fast numerical methods for nonlocal diffusion and peridynamic models. However, these methods require the physical domain where we solve the governing equations is rectangular. To relax this restriction,
Xuhao Zhang, Aijie Cheng, Hong Wang
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Fractal and Fractional, 2023 Fractional derivatives and regime-switching models are widely used in various fields of finance because they can describe the nonlocal properties of the solutions and the changes in the market status, respectively.
Xu Chen +3 more
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Nuclear Engineering and Technology, 2022 In this paper, a new multi-group neutron-gamma transport calculation code system STRAUM-MATXST for complicated geometrical problems is introduced and its development status including numerical tests is presented.
MyeongHyeon Woo, Ser Gi Hong
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Measurement-efficient quantum Krylov subspace diagonalisation [PDF]
QuantumThe 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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A preconditioned fast collocation method for a linear bond-based peridynamic model
Advances in Difference Equations, 2020 We develop a fast collocation method for a static bond-based peridynamic model. Based on the analysis of the structure of the stiffness matrix, a fast matrix-vector multiplication technique was found, which can be used in the Krylov subspace iteration ...
Xuhao Zhang +3 more
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