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[美] 鲍迪 (Boyd S.) 著 / 世界图书出版公司 / 2013-10 / 平装
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上书时间2021-12-22
凸优化:Convex Potimization
Thisbookisaboutconueroptimization,aspecialclassofmathematicaloptimizationproblems,whichincludesleast-squaresandlinearprogrammingproblems.Itiswellknownthatleast-squaresandlinearprogrammingproblemshaveafairlycompletetheory,ariseinavarietyofapplications,andcanbesolvednumericallyveryefficiently.Thebasicpointofthisbookisthatthesamecanbesaidforthelargerclassofconvexoptimizationproblems.
作者:(美国)鲍迪(Stephen Boyd)
PrefaceIntroduction1.1Mathematicaloptimization1.2Least-squaresandlinearprogramming1.3Convexoptimization1.4Nonlinearoptimization1.5Outline1.6NotationBibliographyⅠTheoryConvexsets2.1Affineandconvexsets2.2Someimportantexamples2.3Operationsthatpreserveconvexity2.4Generalizedinequalities2.5Separatingandsupportinghyperplanes2.6DualconesandgeneralizedinequalitiesBibliographyExercisesConvexfunctions3.1Basicpropertiesandexamples3.2Operationsthatpreserveconvexity3.3Theconjugatefunction3.4Quasiconvexfunctions3.5Log-concaveandlog-convexfunctions3.6Convexitywithrespecttogeneralizedinequalities.BibliographyExercises……ⅡApplicationsⅢAlgorithmsAppendicesReferencesNotationIndex
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