Adapting the interior point method for the solution of LPs on serial, coarse grain parallel and massively parallel computers [PDF]
, 1990 In this paper we describe a unified scheme for implementing an interior point algorithm (IPM) over a range of computer architectures. In the inner iteration of the IPM a search direction is computed using Newton's method.
Levkovitz, R +3 more
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Adapting the interior point method for the solution of linear programs on high performance computers [PDF]
, 1991 In this paper we describe a unified algorithmic framework for the interior point method (IPM) of solving Linear Programs (LPs) which allows us to adapt it over a range of high performance computer architectures. We set out the reasons as to why IPM makes
Levkovitz, R, Mitra, G, Anderson, J
core +7 more sources
, 2017 Take a look at the ‘Getting-to-know your POSITIVe partners” section to get familiarized with more senior and young researchers belonging to this COST Action.
Garcia Conesa, Maria-Teresa +2 more
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Positivity-Preserving Numerical Methods for Belousov-Zhabotinsky Reaction [PDF]
, 2020 The existence of positive solutions to the system of ordinary differential equations related to the Belousov-Zhabotinsky reaction is established. The key idea is to use a new successive approximation of solutions, ensuring its positivity.
澤田, 宙広 +3 more
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Bounded real lemmas for positive descriptor systems [PDF]
, 2015 A well known result in the theory of linear positive systems is the existence of positive definite diagonal matrix (PDDM) solutions to some well known linear matrix inequalities (LMIs).
Yan, Xinggang +3 more
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Remind Solution (Australia) Brain Booster Benefits!
, 2022 Henceforth, the audit here has the intense Remind Solution, which is exceptional and helps upgrade your memory, in contrast to other memory items. Peruse the survey about Remind Solution, which could assist Remind Solution you with reestablishing your ...
Remind Solution
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Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations [PDF]
, 1991 Elsner L, Mehrmann V. Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations. Numerische Mathematik.
Mehrmann, Volker, Elsner, Ludwig
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Unique positive solution for an alternative discrete Painlevé I equation [PDF]
, 2016 We show that the alternative discrete Painleve I equation has a unique solution which remains positive for all n >0. Furthermore, we identify this positive solution in terms of a special solution of the second Painleve equation involving the Airy ...
Clarkson, Peter +4 more
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On Positive Solutions for Some Nonlinear Semipositone Elliptic Boundary Value
Nonlinear Analysis, 2006 This study concerns the existence of positive solutions to classes of boundary value problems of the form −∆u = g(x,u), x ∈ Ω, u(x) = 0, x ∈ ∂Ω, where ∆ denote the Laplacian operator, Ω is a smooth bounded domain in RN (N ≥ 2) with ∂Ω of class C2, and ...
G. A. Afrouzi, S. H. Rasouli
doaj +1 more source
Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
, 2008 We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb +5 more
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