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35
9.2折
¥
38
九五品
库存3件
作者Jean-Baptiste、Claude Lemarechal 编
出版社世界图书出版公司
出版时间2004-04
版次1
装帧平装
货号ST103/9787506266178
上书时间2024-08-05
商品详情
- 品相描述:九五品
图书标准信息
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作者
Jean-Baptiste、Claude Lemarechal 编
-
出版社
世界图书出版公司
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出版时间
2004-04
-
版次
1
-
ISBN
9787506266178
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定价
38.00元
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装帧
平装
-
开本
24开
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纸张
胶版纸
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页数
259页
- 【内容简介】
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Thisbookisanabridgedversionofourtwo-volumeopusConvexAnalysisandMinimizationAlgorithms[18],aboutwhichwehavereceivedverypositivefeedbackfromusers,readers,lecturerseversinceitwaspublished-bySpringer-Verlagin1993.Itspedagogicalqualitieswereparticularlyappreciated,inthecombinationwitharatheradvancedtechnicalmaterial.
- 【目录】
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Preface
O.Introduction:Notation,ElementaryResults
1SomeFactsAboutLowerandUpperBounds
2TheSetofExtendedRealNumbers
3LinearandBilinearAlgebra
4DifferentiationinaEuclideanSpace
5Set-ValuedAnalysis
6RecallsonConvexFunctionsoftheRealVariable
Exercises
A.ConvexSets
1Generalities
2ConvexSetsAttachedtoaConvexSet
3ProjectionontoClosedConvexSets
4SeparationandApplications
5ConicalApproximationsofConvexSets
Exercises
B.ConvexFunctions
1BasicDefinitionsandExamples
2FunctionalOperationsPreservingConvexity
3LocalandGlobalBehaviourofaConvexFunction
4First-andSecond-OrderDifferentiation
Preface
O.Introduction:Notation,ElementaryResults
1SomeFactsAboutLowerandUpperBounds
2TheSetofExtendedRealNumbers
3LinearandBilinearAlgebra
4DifferentiationinaEuclideanSpace
5Set-ValuedAnalysis
6RecallsonConvexFunctionsoftheRealVariable
Exercises
A.ConvexSets
1Generalities
2ConvexSetsAttachedtoaConvexSet
3ProjectionontoClosedConvexSets
4SeparationandApplications
5ConicalApproximationsofConvexSets
Exercises
C.SublinearityandSupportFunctions
1SublinearFunctions
2TheSupportFunctionofaNonemptySet
3CorrespondenceBetweenConvexSetsandSublinearFunctions
Exercises
D.SubdifferentialsofFiniteConvexFunctions
1TheSubdifferential:DefinitionsandInterpretations
2LocalPropertiesoftheSubdiffrential
3FirstExamples
4CalculusRuleswithSubdifferentials
5FurtherExamples
6TheSubdifferentialasaMultifunction
Exercises
E.ConjugacyinConvexAnalysis
1TheConvexConjugateofaFunction
2CalculusRulesontheConjugacyOperation
3VariousExamples
4DifferentiabilityofaConjugateFunction
Exercises
BibliographicalComments
TheFoundingFathersoftheDiscipline
References
Index
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