breast cancer continues to be a significant public health problem in the world. early detection is the key for improving breast cancer prognosis. in this way, magnetic resonance imaging (mri) is emerging as a powerful tool for the detection of breast cancer. breast mri presently has two major challenges. first, its specificity is relatively poor, and it detects many false positives (fps). secon...

Massive events, as sportive events, involves a huge amount of spectators. Citizens that wish to attend buy a ticket that allzows them to seat in a given zone of the stadium with several features, but usually they do not buy the physical seat at the sport ground. Then, one of the duties of the organizing committees is to allocate the different localities of the enclosure to the persons that have...

The recently proposed Riemannian Trust-Region method can be applied to the problem of computing extreme eigenpairs of a matrix pencil, with strong global convergence and local convergence properties. This paper addresses inherent inefficiencies of an explicit trustregion mechanism. We propose a new algorithm, the Implicit Riemannian Trust-Region method for extreme eigenpair computation, which s...

In the paper, aimed at the shortcoming of trust region method, we proposed a algorithm using negative curvature direction as its searching direction. The convergence of the algorithm was given. Furthermore, combing trust region method and curve-linear searching techniques, a trust region algorithm, using general curvelinear searching direction, was proposed. We proved its efficiency and feasibi...