Optimization theory and methods

By Wenyu Sun, Ya-Xiang Yuan. 2006

634 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Miniature Scalp-Implantable Antennas for Telemetry in the MICS and ISM Bands: Design, Safety Considerations and Link Budget Analysis (2012, methodology): “Antennas are initially designed inside a small single-tissue simulating cube, where simulations run fast, and further optimized inside a canonical model of the intended implantation site, using Quasi-Newton optimization [15].”
Linearized augmented Lagrangian and alternating direction methods for nuclear norm minimization (2012, methodology): “The classical augmented Lagrangian method (also known as the method of multipliers, see, e.g., [25, 39, 46]) is also discussed in [40] for low-rank matrix recovery problems based on this UV -parametrization.”
A feasible method for optimization with orthogonality constraints (2012, background): “Since finding its global minimizer is computationally expensive, one is usually satisfied with an approximate minimizer such as a τk satisfying the Armijo-Wolfe conditions [39, 51, 19]:”
BFGS trust-region method for symmetric nonlinear equations (2009, positive): “Similar to Moré [14] or Yuan and Sun [35], we have the following result.”