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» A New Approach for Solving Nonlinear Equations Systems
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CORR
2008
Springer
149views Education» more  CORR 2008»
13 years 7 months ago
Gaussian Belief Propagation for Solving Systems of Linear Equations: Theory and Application
The canonical problem of solving a system of linear equations arises in numerous contexts in information theory, communication theory, and related fields. In this contribution, we...
Ori Shental, Danny Bickson, Paul H. Siegel, Jack K...
SOCO
2002
Springer
13 years 7 months ago
Fuzzy relation equations (I): the general and specialized solving algorithms
In this article, we develop a new method and an algorithm to solve a system of fuzzy relation equations. We first introduce a solution-base-matrix and then give a tractable mathema...
Li Chen, Paul P. Wang
CAGD
2006
167views more  CAGD 2006»
13 years 7 months ago
Discrete surface modelling using partial differential equations
We use various nonlinear partial differential equations to efficiently solve several surface modelling problems, including surface blending, N-sided hole filling and free-form sur...
Guoliang Xu, Qing Pan, Chandrajit L. Bajaj
PCM
2005
Springer
126views Multimedia» more  PCM 2005»
14 years 1 months ago
Gradient Based Image Completion by Solving Poisson Equation
This paper presents a novel gradient-based image completion algorithm for removing significant objects from natural images or photographs. Our method reconstructs the region of r...
Jianbing Shen, Xiaogang Jin, Chuan Zhou
AUTOMATICA
2007
75views more  AUTOMATICA 2007»
13 years 7 months ago
System theory for numerical analysis
Many numerical schemes can be suitably studied from a system theoretic point of view. This paper studies the relationship between the two disciplines, that is, numerical analysis ...
Kenji Kashima, Yutaka Yamamoto