Results 71 to 80 of about 641 (184)
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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Fast collocation method for a two-dimensional variable-coefficient linear nonlocal diffusion model
Advances in Difference Equations, 2020 In this paper, a fast collocation method is developed for a two-dimensional variable-coefficient linear nonlocal diffusion model. By carefully dealing with the variable coefficient in the integral operator and then analyzing the structure of the ...
Xuhao Zhang, Aijie Cheng
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A Global Krylov Subspace Method for the Sylvester Quaternion Matrix Equation
Journal of New TheoryThis study concerns the Sylvester matrix equation in the quaternion setting when the coefficient matrices as well as the unknown matrix have quaternion entries.
Sinem Şimşek
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A Polynomial Preconditioned Global CMRH Method for Linear Systems with Multiple Right-Hand Sides
Journal of Applied Mathematics, 2013 The restarted global CMRH method (Gl-CMRH(m)) (Heyouni, 2001) is an attractive method for linear systems with multiple right-hand sides. However, Gl-CMRH(m) may converge slowly or even stagnate due to a limited Krylov subspace.
Ke Zhang, Chuanqing Gu
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A splitting preconditioner for the incompressible navier–stokes equations
Mathematical Modelling and Analysis, 2013 In this paper, a splitting preconditioner based on the relaxed dimensional factorization (RDF) preconditioner and the modified augmented Lagrangian (MAL) preconditioner for the incompressible Navier–Stokes equations is presented.
Ze-Jun Hu, Ting-Zhu Huang, Ning-Bo Tan
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Alternating Krylov subspace image restoration methods
Journal of Computational and Applied Mathematics, 2012 Let \(f^\delta\) represent the available noise- and blur-contaminated image and \(\widehat u\) the associated image that is to recover. The model \[ f^\delta(x)= \int h(x,y)\widehat u(y)\,dy+ \eta^\delta(x),\quad x\in\Omega, \] with the noise \(\eta^\delta\) is assumed.
J. O. Abad +3 more
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Nuclear Engineering and TechnologyDiscrete ordinates (SN) method with unstructured meshes is highly appropriate for high-fidelity modeling and simulation of radiation shielding problems with complicated geometries.
Ao Zhang +3 more
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A Randomized Q-OR Krylov Subspace Method for Solving Nonsymmetric Linear Systems
MathematicsThe most popular iterative methods for solving nonsymmetric linear systems are Krylov methods. Recently, an optimal Quasi-ORthogonal (Q-OR) method was introduced, which yields the same residual norms as the Generalized Minimum Residual (GMRES) method ...
Gérard Meurant
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IDR: A new generation of Krylov subspace methods?
Linear Algebra and its Applications, 2013 Die Induzierte Dimensions-Reduktions-Technik (IDR-Technik), entwickelt von Sonneveld und van Gijzen, ist ein mächtiges Konzept, welches in einer Unzahl von Transponierten-freien Krylov-Unterraum-Verfahren basierend auf kurzen Rekursionen gipfelt. Wir stellen die wesentlichen Unterschiede zwischen und Gemeinsamkeiten von IDR-Methoden und klassischen ...
Rendel, Olaf +2 more
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Generalized Preconditioned MHSS Method for a Class of Complex Symmetric Linear Systems
Abstract and Applied Analysis, 2014 Based on the modified Hermitian and skew-Hermitian splitting (MHSS) and preconditioned MHSS (PMHSS) methods, a generalized preconditioned MHSS (GPMHSS) method for a class of complex symmetric linear systems is presented.
Cui-Xia Li, Yan-Jun Liang, Shi-Liang Wu
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