Intensity modulated radiotherapy treatment planning by use of a barrier-penalty multiplier method

DOI10.1080/10556780600604940zbMath1170.90529OpenAlexW1999916457WikidataQ111898768 ScholiaQ111898768MaRDI QIDQ5436910

Rembert Reemtsen, Mark S. Alber

Publication date: 18 January 2008

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556780600604940

zbMATH Keywords

multiplier methodsnonlinear rescaling method

Mathematics Subject Classification ID

Large-scale problems in mathematical programming (90C06) Applications of mathematical programming (90C90) Nonlinear programming (90C30)

Related Items (7)

An interior-point implementation developed and tuned for radiation therapy treatment planning ⋮ The Legendre Transformation in Modern Optimization ⋮ Lexicographic extension of the reference point method applied in radiation therapy treatment planning ⋮ Multi-criteria optimization and decision-making in radiotherapy ⋮ Mathematical optimization in intensity modulated radiation therapy ⋮ Mathematical optimization in intensity modulated radiation therapy ⋮ A network approach for segmentation in intensity modulated arc therapy

Uses Software

• LANCELOT
• PENNON
• Benchmarks for Optimization Software

Cites Work

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• On the convergence of the exponential multiplier method for convex programming
• Efficient hybrid conjugate gradient techniques
• Modified barrier functions (theory and methods)
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• On the number of inner iterations per outer iteration of a globally convergent algorithm for optimization with general nonlinear inequality constraints and simple bounds
• Nonlinear rescaling vs. smoothing technique in convex optimization
• Radiosurgery treatment planning via nonlinear programming
• Computational experience with penalty-barrier methods for nonlinear programming
• On implementation of the extended interior penalty function
• Applications of a Quadratic Extended Interior for Structural Optimization Penalty Function
• Numerical Optimization
• Penalty/Barrier Multiplier Methods for Convex Programming Problems
• PENNON: A code for convex nonlinear and semidefinite programming
• Optimizing the Delivery of Radiation Therapy to Cancer Patients
• A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
• A globally convergent Lagrangian barrier algorithm for optimization with general inequality constraints and simple bounds
• New properties of a nonlinear conjugate gradient method
• Log-sigmoid multipliers method in constrained optimization

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