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MP
2010
135views more  MP 2010»
13 years 2 months ago
An inexact Newton method for nonconvex equality constrained optimization
Abstract We present a matrix-free line search algorithm for large-scale equality constrained optimization that allows for inexact step computations. For sufficiently convex problem...
Richard H. Byrd, Frank E. Curtis, Jorge Nocedal
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
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
VECPAR
2004
Springer
13 years 9 months ago
Domain Decomposition Methods for PDE Constrained Optimization Problems
Abstract. Optimization problems constrained by nonlinear partial differential equations have been the focus of intense research in scientific computing lately. Current methods for...
Ernesto E. Prudencio, Richard H. Byrd, Xiao-Chuan ...
EOR
2010
160views more  EOR 2010»
13 years 4 months ago
A modified alternating direction method for convex quadratically constrained quadratic semidefinite programs
We propose a modified alternate direction method for solving convex quadratically constrained quadratic semidefinite optimization problems. The method is a first-order method, the...
Jie Sun, Su Zhang