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» On Wu's Method for Proving Constructive Geometric Theorems
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FOCM
2008
100views more  FOCM 2008»
13 years 11 months ago
A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds
We consider the problem of finding a singularity of a differentiable vector field X defined on a complete Riemannian manifold. We prove a unified result for the existence and local...
Felipe Alvarez, Jérôme Bolte, Julien ...
CDC
2010
IEEE
118views Control Systems» more  CDC 2010»
13 years 5 months ago
Explicit solutions for root optimization of a polynomial family
Abstract-- Given a family of real or complex monic polynomials of fixed degree with one fixed affine constraint on their coefficients, consider the problem of minimizing the root r...
Vincent D. Blondel, Mert Gurbuzbalaban, Alexandre ...
CORR
2010
Springer
116views Education» more  CORR 2010»
13 years 10 months ago
Convergent discrete Laplace-Beltrami operators over surfaces
The convergence problem of the Laplace-Beltrami operators plays an essential role in the convergence analysis of the numerical simulations of some important geometric partial diff...
Jyh-Yang Wu, Mei-Hsiu Chi, Sheng-Gwo Chen
COMBINATORICS
1998
86views more  COMBINATORICS 1998»
13 years 10 months ago
Lattice Tilings by Cubes: Whole, Notched and Extended
We discuss some problems of lattice tiling via Harmonic Analysis methods. We consider lattice tilings of Rd by the unit cube in relation to the Minkowski Conjecture (now a theorem...
Mihail N. Kolountzakis
FOCS
2006
IEEE
14 years 4 months ago
Points on Computable Curves
The “analyst’s traveling salesman theorem” of geometric measure theory characterizes those subsets of Euclidean space that are contained in curves of finite length. This re...
Xiaoyang Gu, Jack H. Lutz, Elvira Mayordomo