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In this paper a new preconditioned Extended Conjugate Gradient with self-scaling Variable Metric method is proposed for unconstrained optimization. This method is based on the inexact line searches and it is examined by ...

Topological Optimization provides a powerful framework to obtain the optimal domain topology for several engineering problems. The Topological Derivative is a function which characterizes the sensitivity of a given probl...

Suppose x is an unknown vector in Ropf m (a digital image or signal); we plan to measure n general linear functionals of x and then reconstruct. If x is known to be compressible by transform coding with a known transform...

Subjects / keywords: Mathematical optimization; Numerical analysis; Linear programming

Subjects / keywords: Linear programming; Network analysis (Planning); Mathematical optimization; Dynamic programming; Electronic books

The lasso is a popular technique for simultaneous estimation and variable selection. Lasso variable selection has been shown to be consistent under certain conditions. In this work we derive a necessary condition for the...