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SIAMSC
2010
132views more  SIAMSC 2010»
12 years 11 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
CDC
2010
IEEE
130views Control Systems» more  CDC 2010»
12 years 12 months ago
A fast well-conditioned interior point method for predictive control
Interior point methods (IPMs) have proven to be an efficient way of solving quadratic programming problems in predictive control. A linear system of equations needs to be solved in...
Amir Shahzad, Eric C. Kerrigan, George A. Constant...
SIAMJO
2008
114views more  SIAMJO 2008»
13 years 4 months ago
An Inexact SQP Method for Equality Constrained Optimization
We present an algorithm for large-scale equality constrained optimization. The method is based on a characterization of inexact sequential quadratic programming (SQP) steps that ca...
Richard H. Byrd, Frank E. Curtis, Jorge Nocedal
ISSAC
2005
Springer
119views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Computing the multiplicity structure in solving polynomial systems
This paper presents a duality analysis and an algorithm for computing the multiplicity structure of a zero to a polynomial system, while the zero can be exact or approximate with ...
Barry H. Dayton, Zhonggang Zeng