CG Versus MINRES: An Empirical Comparison
For iterative solution of symmetric systems the conjugate gradient method (CG) is commonly used when A is positive definite, while the minimum residual method (MINRES) is typically reserved for indefinite systems.
David Chin-Lung Fong, Michael Saunders
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High-Resolution Source Localization Algorithm Based on the Conjugate Gradient
This paper proposes a new algorithm for the direction of arrival (DOA) estimation of P radiating sources. Unlike the classical subspace-based methods, it does not resort to the eigendecomposition of the covariance matrix of the received data. Indeed, the
Sylvie Marcos +2 more
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Parallel Solution and Optimization of Large-Scale Sparse Linear System in GRAPES Dynamic Framework [PDF]
The Helmholtz equation is the core of dynamic framework of Global and Regional Assimilation Prediction System(GRAPES) for numerical weather forecast.This equation can essentially be transformed into the solution of a large-scale sparse linear system, but
ZHANG Kun, JIA Jinfang, YAN Wenxin, HUANG Jianqiang, WANG Xiaoying
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Analyzing the effect of local rounding error propagation on the maximal attainable accuracy of the pipelined Conjugate Gradient method [PDF]
Pipelined Krylov subspace methods typically offer improved strong scaling on parallel HPC hardware compared to standard Krylov subspace methods for large and sparse linear systems.
Agullo, Emmanuel +4 more
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The solution of least squares support vector machines (LS-SVMs) is characterized by a specific linear system, that is, a saddle point system. Approaches for its numerical solutions such as conjugate methods Sykens and Vandewalle (1999) and null space ...
Ling Jian, Shuqian Shen, Yunquan Song
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Pricing stock loans under the L$ \acute{e} $vy-$ \alpha $-stable process with jumps
In this paper, the pricing of stock loans when the underlying follows a L$ \acute{e} $vy-$ \alpha $-stable process with jumps is considered. Under this complicated model, the stock loan value satisfies a fractional-partial-integro-differential equation ...
Congyin Fan, Wenting Chen, Bing Feng
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Large-scale wave-front reconstruction for adaptive optics systems by use of a recursive filtering algorithm [PDF]
We propose a new recursive filtering algorithm for wave-front reconstruction in a large-scale adaptive optics system. An embedding step is used in this recursive filtering algorithm to permit fast methods to be used for wave-front reconstruction on an ...
Britton, Matthew +2 more
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Temperature Estimation in the Combustion Chamber of an Internal Combustion Engine
The mathematical model of heat transfer phenomena is considered at the combustion chamber wall in an internal combustion (IC) engine. The mathematical model of proposed phenomena is established with respect to the crank angle.
Gholam Reza Safakish
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Effectiveness of Pneumococcal Conjugate Vaccines (PCV7 and PCV13) against Invasive Pneumococcal Disease among Children under Two Years of Age in Germany. [PDF]
In this study we calculate the effectiveness of pneumococcal conjugate vaccines (PCV) against invasive pneumococcal disease (IPD) among children under the age of two years using the indirect cohort method.
Mark van der Linden +4 more
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Convergence behavior of single-step GBLUP and SNPBLUP for different termination criteria
Background The preconditioned conjugate gradient (PCG) method is the current method of choice for iterative solving of genetic evaluations. The relative difference between two successive iterates and the relative residual of the system of equations are ...
Jeremie Vandenplas +5 more
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