Results 21 to 30 of about 3,994 (221)
Partitioned Quantum Subspace Expansion [PDF]
QuantumWe present an iterative generalisation of the quantum subspace expansion algorithm used with a Krylov basis. The iterative construction connects a sequence of subspaces via their lowest energy states.
Tom O'Leary +3 more
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S-Step BiCGStab Algorithms for Geoscience Dynamic Simulations
Oil & Gas Science and Technology, 2016 In basin and reservoir simulations, the most expensive and time consuming phase is solving systems of linear equations using Krylov subspace methods such as BiCGStab.
Anciaux-Sedrakian Ani +3 more
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Newton-Krylov Type Algorithm for Solving Nonlinear Least Squares Problems
International Journal of Mathematics and Mathematical Sciences, 2009 The minimization of a quadratic function within an ellipsoidal trust region is an important subproblem for many nonlinear programming algorithms. When the number of variables is large, one of the most widely used strategies is to project the original ...
Mohammedi R. Abdel-Aziz +1 more
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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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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 Acceleration of Waveform Relaxation
SIAM Journal on Numerical Analysis, 2003 In recent years, certain very old ideas of iterative algorithms traditionally used to linear algebraic problems, come back with the changed name of waveform relaxation when applied in a changed context, for example to problems of ordinary differential equations (ODEs) or partial differential equations (PDEs).
Andrew Lumsdaine, Deyun Wu
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Krylov Subspace Recycling For Matrix Functions
CoRR, 2022 22 pages, 5 ...
Liam Burke 0002 +3 more
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Enlarged Krylov Subspace Conjugate Gradient Methods for Reducing Communication [PDF]
, 2016 International audienceIn this paper we introduce a new approach for reducing communication in Krylov subspace methods that consists of enlarging the Krylov subspace by a maximum of $t$ vectors per iteration, based on a domain decomposition of the graph ...
Moufawad, Sophie +2 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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Sampling Error Analysis in Quantum Krylov Subspace Diagonalization [PDF]
QuantumQuantum Krylov subspace diagonalization (QKSD) is an emerging method used in place of quantum phase estimation in the early fault-tolerant era, where limited quantum circuit depth is available. In contrast to the classical Krylov subspace diagonalization
Gwonhak Lee, Dongkeun Lee, Joonsuk Huh
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