Article ID Journal Published Year Pages File Type
4602929 Linear Algebra and its Applications 2008 11 Pages PDF
Abstract

The goal of intensity-modulated radiation therapy (IMRT) is to deliver sufficient doses to tumors to kill them, but without causing irreparable damage to critical organs. This requirement can be formulated as a linear feasibility problem. The sequential (i.e., iteratively treating the constraints one after another in a cyclic fashion) algorithm ART3 is known to find a solution to such problems in a finite number of steps, provided that the feasible region is full dimensional. We present a faster algorithm called ART3+. The idea of ART3+ is to avoid unnecessary checks on constraints that are likely to be satisfied. The superior performance of the new algorithm is demonstrated by mathematical experiments inspired by the IMRT application.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory