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» Solution of a system of linear equations with fuzzy numbers
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98
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SIAMSC
2008
116views more  SIAMSC 2008»
15 years 11 days ago
A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
We propose a new numerical scheme for linear transport equations. It is based on a decomposition of the distribution function into equilibrium and non-equilibrium parts. We also us...
Mohammed Lemou, Luc Mieussens
91
Voted
EWRL
2008
15 years 2 months ago
New Error Bounds for Approximations from Projected Linear Equations
We consider linear fixed point equations and their approximations by projection on a low dimensional subspace. We derive new bounds on the approximation error of the solution, whi...
Huizhen Yu, Dimitri P. Bertsekas
SIAMSC
2010
143views more  SIAMSC 2010»
14 years 10 months ago
Computing and Deflating Eigenvalues While Solving Multiple Right-Hand Side Linear Systems with an Application to Quantum Chromod
Abstract. We present a new algorithm that computes eigenvalues and eigenvectors of a Hermitian positive definite matrix while solving a linear system of equations with Conjugate G...
Andreas Stathopoulos, Konstantinos Orginos
DATE
2007
IEEE
114views Hardware» more  DATE 2007»
15 years 6 months ago
Fast positive-real balanced truncation of symmetric systems using cross Riccati equations
We present a computationally efficient implementation of positive-real balanced truncation (PRBT) for symmetric multiple-input multiple-output (MIMO) systems. The solution of a p...
Ngai Wong
101
Voted
FOCS
2007
IEEE
15 years 6 months ago
Linear Equations Modulo 2 and the L1 Diameter of Convex Bodies
We design a randomized polynomial time algorithm which, given a 3-tensor of real numbers A = {aijk}n i,j,k=1 such that for all i, j, k ∈ {1, . . . , n} we have ai jk = aik j = a...
Subhash Khot, Assaf Naor