Results 21 to 30 of about 16,256 (203)
The Hamiltonian extended Krylov subspace method
The Electronic Journal of Linear Algebra, 2022 An algorithm for constructing a $J$-orthogonal basis of the extended Krylov subspace$\mathcal{K}_{r,s}=\operatorname{range}\{u,Hu, H^2u,$ $ \ldots, $ $H^{2r-1}u, H^{-1}u, H^{-2}u, \ldots, H^{-2s}u\},$where $H \in \mathbb{R}^{2n \times 2n}$ is a large (and sparse) Hamiltonian matrix is derived (for $r = s+1$ or $r=s$).
Peter Benner +2 more
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Preconditioners for Krylov subspace methods: An overview [PDF]
GAMM-Mitteilungen, 2020 AbstractWhen simulating a mechanism from science or engineering, or an industrial process, one is frequently required to construct a mathematical model, and then resolve this model numerically. If accurate numerical solutions are necessary or desirable, this can involve solving large‐scale systems of equations.
Pearson, John W., Pestana, Jennifer
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Parallel primal‐dual interior point method for the solution of dynamic optimal power flow
IET Generation, Transmission & Distribution, 2023 This work presents a novel solution for accelerating the dynamic optimal power flow using a distributed‐memory parallelization approach. Unlike other two‐stage relaxation‐based approaches (such as ADMM), the proposed approach constructs the entire ...
Rylee Sundermann +4 more
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Solving Coupled Cluster Equations by the Newton Krylov Method
Frontiers 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
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LeXInt: Package for exponential integrators employing Leja interpolation
SoftwareX, 2023 We present a publicly available software for exponential integrators that computes the φl(z)functions using polynomial interpolation. The interpolation method at Leja points have recently been shown to be competitive with the traditionally-used Krylov ...
Pranab J. Deka +2 more
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Krylov Subspace Methods in Dynamical Sampling [PDF]
Sampling Theory in Signal and Image Processing, 2016 12 pages, 2 ...
Aldroubi, Akram, Krishtal, Ilya
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Flexible Inner-Outer Krylov Subspace Methods [PDF]
SIAM Journal on Numerical Analysis, 2002 Flexible Krylov methods refer to a class of methods which accept preconditioning that can change from one step to the next. An important special case is found when a fixed preconditioner is only approximated and the approximation changes from one step to the next.
Simoncini V., Szyld D.B.
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A nested Krylov subspace method to compute the sign function of large complex matrices [PDF]
, 2011 We present an acceleration of the well-established Krylov-Ritz methods to compute the sign function of large complex matrices, as needed in lattice QCD simulations involving the overlap Dirac operator at both zero and nonzero baryon density.
Bloch +22 more
core +1 more source
Energies, 2020 This paper presents an analysis of the time complexity of algorithms prepared for solving heat transfer problems at nanoscale. The first algorithm uses the classic Dual-Phase-Lag model, whereas the second algorithm employs a reduced version of the model ...
Tomasz Raszkowski, Mariusz Zubert
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Real-Time Krylov Theory for Quantum Computing Algorithms [PDF]
Quantum, 2023 Quantum computers provide new avenues to access ground and excited state properties of systems otherwise difficult to simulate on classical hardware.
Yizhi Shen +5 more
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