Chiang Mai Journal of Science

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

Paper Type	Contributed Paper
Title	Minimal Changes in the Right Hand Side Data for Correcting Linear Infeasibility Arising in Intensity-Modulated Radiation Therapy with the Generalized Newton Method
Author	Saeed Ketabchi [a], Hossein Moosaei [b] and Ying Xiao [c]
Email	sketabchi@guilan.ac.ir; hmoosaei@gmail.com; ying.xiao@jefferson.edu
Abstract:   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  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.
Start & End Page	1439 - 1443
Received Date	2011-09-19
Revised Date
Accepted Date	2013-10-23
Full Text	Download
Keyword	Convex optimization, Generalized Newton method, Intensity modulated radiation therapy, Linear Inequalities.
Volume	Vol.41 No.5/2 (OCTOBER 2014)
DOI
Citation	Ketabchi S., Moosaei H. and Xiao Y., Minimal Changes in the Right Hand Side Data for Correcting Linear Infeasibility Arising in Intensity-Modulated Radiation Therapy with the Generalized Newton Method, Chiang Mai J. Sci., 2014; 41(5/2): 1439-1443.
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