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IMAMS
2007
133views Mathematics» more  IMAMS 2007»
13 years 10 months ago
Tuning Subdivision Algorithms Using Constrained Energy Optimization
In this paper a method is presented to fair the limit surface of a subdivision algorithm around an extraordinary point. The eigenvalues and eigenvectors of the subdivision matrix d...
Ingo Ginkel, Georg Umlauf
SIAMSC
2010
132views more  SIAMSC 2010»
13 years 3 months ago
An Interior-Point Algorithm for Large-Scale Nonlinear Optimization with Inexact Step Computations
We present a line-search algorithm for large-scale continuous optimization. The algorithm is matrix-free in that it does not require the factorization of derivative matrices. Inste...
Frank E. Curtis, Olaf Schenk, Andreas Wächter
HYBRID
2010
Springer
14 years 3 months ago
A descent algorithm for the optimal control of constrained nonlinear switched dynamical systems
One of the oldest problems in the study of dynamical systems is the calculation of an optimal control. Though the determination of a numerical solution for the general nonconvex o...
Humberto González, Ramanarayan Vasudevan, M...
ICRA
2008
IEEE
160views Robotics» more  ICRA 2008»
14 years 3 months ago
A constrained optimization approach to virtual fixtures for multi-handed tasks
— In this work, we have extended the concept of constrained motion control of robots to surgical tasks that require multiple robots. We present virtual fixtures to guide the mot...
Ankur Kapoor, Russell H. Taylor
FOCM
2011
175views more  FOCM 2011»
13 years 4 months ago
Convergence of Fixed-Point Continuation Algorithms for Matrix Rank Minimization
The matrix rank minimization problem has applications in many fields such as system identification, optimal control, low-dimensional embedding etc. As this problem is NP-hard in ...
Donald Goldfarb, Shiqian Ma