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SIAMJO
2010
88views more  SIAMJO 2010»
12 years 11 months ago
A Primal-Dual Exterior Point Method for Nonlinear Optimization
In this paper, a primal dual method for general possible nonconvex nonlinear optimization problems is considered. The method is an exterior point type method which means that it p...
Hiroshi Yamashita, Takahito Tanabe
SIAMIS
2010
283views more  SIAMIS 2010»
12 years 11 months ago
A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science
We generalize the primal-dual hybrid gradient (PDHG) algorithm proposed by Zhu and Chan in [M. Zhu, and T. F. Chan, An Efficient Primal-Dual Hybrid Gradient Algorithm for Total Var...
Ernie Esser, Xiaoqun Zhang, Tony F. Chan
TMI
2010
181views more  TMI 2010»
13 years 2 months ago
In Vivo Impedance Imaging With Total Variation Regularization
—We show that electrical impedance tomography (EIT) image reconstruction algorithms with regularization based on the Total Variation (TV) functional are suitable for in vivo imag...
Andrea Borsic, Brad M. Graham, Andy Adler, William...
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
93views more  SIAMJO 2008»
13 years 4 months ago
Recursive Trust-Region Methods for Multiscale Nonlinear Optimization
A class of trust-region methods is presented for solving unconstrained nonlinear and possibly nonconvex discretized optimization problems, like those arising in systems governed by...
Serge Gratton, Annick Sartenaer, Philippe L. Toint