Specialized Interior Point Methods for Radiotherapy Treatment Design / "Planejamento do tratamento por radioterapia através de métodos de pontos interiores"

AUTOR(ES)

Cecilia Bollini Barboza Cid

DATA DE PUBLICAÇÃO

2003

RESUMO

In this work, a specialized interior point method is developed for planning cancer treatment by radiotherapy. This is a large-scale problem with a specific matrix structure. That structure is explored in an efficient way reducing the dimension of the linear system which must be solved at each iteration speeding up the treatment design since usually several versions must be solved to obtain a satisfactory plan. Moreover, the system obtained is sparse, symmetric and positive definite. Numerical results in Matlab illustrate the efficiency of this approach in real problems and show the superiority of the preditor-corrector method in comparison to the primal-dual method.

ASSUNTO(S)

radioterapia métodos de pontos interiores linear programming programação linear interior point methods radiotherapy

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