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» Solving Rational Eigenvalue Problems via Linearization
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JGO
2008
83views more  JGO 2008»
13 years 9 months ago
Global minimization of rational functions and the nearest GCDs
This paper discusses the global minimization of rational functions with or without constraints. We studied the sum of squares (SOS) relaxations and their properties to solve this ...
Jiawang Nie, James Demmel, Ming Gu
WINE
2005
Springer
206views Economy» more  WINE 2005»
14 years 3 months ago
Exchange Market Equilibria with Leontief's Utility: Freedom of Pricing Leads to Rationality
This paper studies the equilibrium property and algorithmic complexity of the exchange market equilibrium problem with concave piece-wise linear functions, which include linear an...
Yinyu Ye
ACCV
2007
Springer
14 years 1 months ago
Efficiently Solving the Fractional Trust Region Problem
Normalized Cuts has successfully been applied to a wide range of tasks in computer vision, it is indisputably one of the most popular segmentation algorithms in use today. A number...
Anders P. Eriksson, Carl Olsson, Fredrik Kahl
CORR
2010
Springer
171views Education» more  CORR 2010»
13 years 10 months ago
Solving Inverse Problems with Piecewise Linear Estimators: From Gaussian Mixture Models to Structured Sparsity
A general framework for solving image inverse problems is introduced in this paper. The approach is based on Gaussian mixture models, estimated via a computationally efficient MAP...
Guoshen Yu, Guillermo Sapiro, Stéphane Mall...
JSC
2010
155views more  JSC 2010»
13 years 8 months ago
Algorithms for solving linear systems over cyclotomic fields
We consider the problem of solving a linear system Ax = b over a cyclotomic field. What makes cyclotomic fields of special interest is that we can easily find a prime p that sp...
Liang Chen, Michael B. Monagan