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LuteijnNava Guerrero, G.D.C. (author), Hansen, Helle Hvid (author), Korevaar, G. (author), Lukszo, Z. (author)The Netherlands aims at reducing natural gas consumption for heating in the housing sector. Although homeowners are responsible for replacing their heating systems and improving dwelling insulation, they are not always able to make individual decisions. Some projects require group decisions within and between buildings. We use an agentbased...journal article 2021
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Baumann, M.M. (author), Astudillo Rengifo, R.A. (author), Qiu, Y. (author), Ang, Y.M.E. (author), van Gijzen, M.B. (author), Plessix, R.E. (author)In this work, we present a new numerical framework for the efficient solution of the timeharmonic elastic wave equation at multiple frequencies. We show that multiple frequencies (and multiple righthand sides) can be incorporated when the discretized problem is written as a matrix equation. This matrix equation can be solved efficiently...journal article 2018
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Schreuders, M.B. (author)The Induced Dimension Reduction(s) method (or the IDR(s) method) is an example of an iterative method used for solving systems of linear equations. Projection methods are a special type of iterative method. They find an approximate solution in a subspace (the right subspace) by requiring that the residual is orthogonal to another subspace (the...master thesis 2014
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 Baumann, M. (author), Van Gijzen, M.B. (author) report 2014
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Sonneveld, P. (author)An explanation is given of the convergence behavior of IDR(s) methods. The convergence mechanism of these algorithms has two components. The first consists of damping properties of certain factors in the residual polynomials, which becomes less important for large values of s. The second component depends on the behavior of Lanczos polynomials...journal article 2012
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De Gier, J.M. (author)We consider sequences of linear systems of equations that follow from the differential equations that describe the acoustics of a car, where the solution to a single linear system corresponds to the pressure perturbations that are caused by acoustic waves of a certain frequency. We consider several iterative numerical methods which belong to the...master thesis 2012
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Van Gijzen, M.B. (author), Sleijpen, G.L.G. (author), Zemke, J.P. (author)We give two important generalizations of the Induced Dimension Reduction (IDR) approach for the solution of linear systems. We derive a flexible and a multishift QuasiMinimal Residual IDR (QMRIDR) variant. Numerical examples are presented to show the effectiveness of these new IDR variants compared to existing ones and to other Krylov subspace...report 2011
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Collignon, T.P. (author)This dissertation deals mainly with the design, implementation, and analysis of efficient iterative solution methods for large sparse linear systems on distributed and heterogeneous computing systems as found in Grid computing. First, a case study is performed on iteratively solving large symmetric linear systems on both a multi–cluster and a...doctoral thesis 2011
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Collignon, T.P. (author), Sleijpen, G.L.G. (author), Van Gijzen, M.B. (author)In this paper the IDR(s) method is interpreted in the context of deflation methods. It is shown that IDR(s) can be seen as a Richardson iteration preconditioned by a variable deflation–type preconditioner. The main result of this paper is the IDR projection theorem, which relates the spectrum of the deflated system in each IDR(s) cycle to all...report 2010
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Den Besten, M. (author)The thesis is the result of a bachelor research project about Google's PageRank. An analysis of the hyperlink structure of the World Wide Web is made and a model for web surfing studied. Based on this model, some standard methods to compute the PageRank of web pages is investigated. Special attention is given to computing PageRanks by using...bachelor thesis 2010
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Van Gijzen, M.B. (author), Sonneveld, P. (author)The IDR(s) method that is proposed in [18] is a very efficient limited memory method for solving large nonsymmetric systems of linear equations. IDR(s) is based on the induced dimension reduction theorem, that provides a way to construct subsequent residuals that lie in a sequence of shrinking subspaces. The IDR(s) algorithm that is given in [18...report 2010
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Sonneveld, P. (author)In this report the probability distributions of x and kxk are derived, where x is the solution of a finite square, completely random linear system, i.e. a system Ax = b, of which all entries are stochastically independent, and standard Gaussian distributed stochastic variables. The question on the statistical behaviour of kxk came up in [5], the...report 2010
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Van Gijzen, M.B. (author), Collignon, T.P. (author)The IDR(s) method that is proposed in [26] is an efficient limited memory method for solving large nonsymmetric systems of linear equations. In [11] an IDR(s) variant is described that has a single synchronisation point per iteration step, which makes this variant wellsuited for parallel and grid computing. In this paper, we combine this IDR(s)...report 2010
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Sonneveld, P. (author)An explanation is given of the convergence behaviour of the IDR(s) methods. The convergence of the IDR(s) algorithms has two components. The first consists of damping properties of certain factors in the residual polynomials, which becomes less important for large values of s. The second component depends on the behaviour of quasiLanczos...report 2010
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Collignon, T.P. (author), Van Gijzen, M.B. (author)IDR(s) is a family of fast algorithms for iteratively solving large nonsymmetric linear systems [14]. With cluster computing and in particular with Grid computing, the inner product is a bottleneck operation. In this paper, three techniques are combined in order to alleviate this bottleneck. Firstly, the efficient and stable IDR(s) algorithm...report