Description: George B. Dantzig: ForewordPrefaceAcknowledgmentsGlossary of Symbols1. IntroductionPART I. THEORY2. Generalized Distances and Generalized Projections3. Proximal Minimization with D-Functions4. Penalty Methods, Barrier Methods and Augmented LagrangiansPART II. ALGORITHMS5. Iterative Methods for Convex Feasibility Problems6. Iterative Algorithms for Linearly Constrained Optimization Problems7. Model Decomposition Algorithms8. Decompositions in Interior Point AlgorithmsPART III. APPLICATIONS9. Matrix Estimation Problems10. Image Reconstruction from Projections11. The Inverse Problem in Radiation Therapy Treatment Planning12. Multicommodity Network Flow Problems13. Planning Under Uncertainty14. Decompositions for Parallel Computing15. Numerical Investigations

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