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ESA
2004
Springer
139views Algorithms» more  ESA 2004»
14 years 28 days ago
Comparing Real Algebraic Numbers of Small Degree
We study polynomials of degree up to 4 over the rationals or a computable real subfield. Our motivation comes from the need to evaluate predicates in nonlinear computational geome...
Ioannis Z. Emiris, Elias P. Tsigaridas
MP
2008
135views more  MP 2008»
13 years 7 months ago
A path to the Arrow-Debreu competitive market equilibrium
: We present polynomial-time interior-point algorithms for solving the Fisher and Arrow-Debreu competitive market equilibrium problems with linear utilities and n players. Both of ...
Yinyu Ye
CAD
2004
Springer
13 years 7 months ago
A shape design system using volumetric implicit PDEs
Solid modeling based on partial differential equations (PDEs) can potentially unify both geometric constraints and functional requirements within a single design framework to mode...
Haixia Du, Hong Qin
NA
2007
120views more  NA 2007»
13 years 7 months ago
On choosing "optimal" shape parameters for RBF approximation
Many radial basis function (RBF) methods contain a free shape parameter that plays an important role for the accuracy of the method. In most papers the authors end up choosing this...
Gregory E. Fasshauer, Jack G. Zhang
STOC
2010
ACM
176views Algorithms» more  STOC 2010»
14 years 12 days ago
Complexity Theory for Operators in Analysis
We propose a new framework for discussing computational complexity of problems involving uncountably many objects, such as real numbers, sets and functions, that can be represente...
Akitoshi Kawamura and Stephen Cook