Minimal Changes in the Right Hand Side Data for Correcting Linear Infeasibility Arising in Intensity-Modulated Radiation Therapy with the Generalized Newton Method

作者：Ketabchi Saeed^*; Moosaei Hossein; Xiao Ying

来源：Chiang Mai Journal of Science, 2014, 41(5.2): 1439-1443.

• convex optimization
• generalized Newton method
• intensity modulated radiation therapy
• linear inequalities

Intensity modulated radiation therapy (IMRT) gives rise to systems of linear inequalities, representing the effects of radiation on the irradiated body. These systems are often infeasible. In this paper, we perform the minimal correction using the 12 norm by changing just the right hand vector for inconsistent set of linear inequalities which involves no negativity of the variables. We present an efficient second order algorithm using the generalized Newton method to solve this problem. A clinical case of IMRT treatment of prostate cancer is used to illustrate the solution process.

• 出版日期2014-10