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JCAM
2010
94views more  JCAM 2010»
14 years 6 months ago
Cascadic multilevel methods for ill-posed problems
Multilevel methods are popular for the solution of well-posed problems, such as certain boundary value problems for partial differential equations and Fredholm integral equations ...
Lothar Reichel, Andriy Shyshkov
SIAMJO
2002
115views more  SIAMJO 2002»
14 years 11 months ago
Superlinearly Convergent Algorithms for Solving Singular Equations and Smooth Reformulations of Complementarity Problems
We propose a new algorithm for solving smooth nonlinear equations in the case where their solutions can be singular. Compared to other techniques for computing singular solutions, ...
Alexey F. Izmailov, Mikhail V. Solodov
ICA
2004
Springer
15 years 5 months ago
Analytical Solution of the Blind Source Separation Problem Using Derivatives
In this paper, we consider independence property between a random process and its first derivative. Then, for linear mixtures, we show that cross-correlations between mixtures and...
Sebastien Lagrange, Luc Jaulin, Vincent Vigneron, ...
FORTE
2009
14 years 9 months ago
Using First-Order Logic to Reason about Submodule Construction
We consider the following problem: For a system consisting of two components, the behavior of one component is known as well as the desired global behavior. What should be the beha...
Gregor von Bochmann
TPDS
2008
97views more  TPDS 2008»
14 years 11 months ago
Solving Systems of Linear Equations on the CELL Processor Using Cholesky Factorization
: The STI CELL processor introduces pioneering solutions in processor architecture. At the same time it presents new challenges for the development of numerical algorithms. One is ...
Jakub Kurzak, Alfredo Buttari, Jack Dongarra