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SIAMJO
2008
108views more  SIAMJO 2008»
13 years 7 months ago
Sparse SOS Relaxations for Minimizing Functions that are Summations of Small Polynomials
This paper discusses how to find the global minimum of functions that are summations of small polynomials ("small" means involving a small number of variables). Some spa...
Jiawang Nie, James Demmel
CORR
2011
Springer
187views Education» more  CORR 2011»
13 years 2 months ago
Global Stability Analysis of Fluid Flows using Sum-of-Squares
This paper introduces a new method for proving global stability of fluid flows through the construction of Lyapunov functionals. For finite dimensional approximations of fluid...
Paul Goulart, Sergei Chernyshenko
SIAMSC
2010
142views more  SIAMSC 2010»
13 years 6 months ago
Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics
This paper develops a nested iteration algorithm to solve time-dependent nonlinear systems of partial differential equations. For each time step, Newton’s method is used to form...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...
CPHYSICS
2006
204views more  CPHYSICS 2006»
13 years 7 months ago
Genetically controlled random search: a global optimization method for continuous multidimensional functions
A new stochastic method for locating the global minimum of a multidimensional function inside a rectangular hyperbox is presented. A sampling technique is employed that makes use ...
Ioannis G. Tsoulos, Isaac E. Lagaris
ICRA
2010
IEEE
121views Robotics» more  ICRA 2010»
13 years 6 months ago
On the global optimum of planar, range-based robot-to-robot relative pose estimation
Abstract— In this paper, we address the problem of determining the relative position and orientation (pose) of two robots navigating in 2D, based on known egomotion and noisy rob...
Nikolas Trawny, Stergios I. Roumeliotis