Author | Hiriart-Urruty, Jean-Baptiste. author |
---|---|
Title | Convex Analysis and Minimization Algorithms I [electronic resource] : Fundamentals / by Jean-Baptiste Hiriart-Urruty, Claude Lemarรฉchal |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993 |
Connect to | http://dx.doi.org/10.1007/978-3-662-02796-7 |
Descript | XVIII, 418 p. online resource |
Table of Contents Part I -- I. Convex Functions of One Real Variable -- II. Introduction to Optimization Algorithms -- III. Convex Sets -- IV. Convex Functions of Several Variables -- V. Sublinearity and Support Functions -- VI. Subdifferentials of Finite Convex Functions -- VII. Constrained Convex Minimization Problems: Minimality Conditions, Elements of Duality Theory -- VIII. Descent Theory for Convex Minimization: The Case of Complete Information -- Appendix: Notations -- 1 Some Facts About Optimization -- 2 The Set of Extended Real Numbers -- 3 Linear and Bilinear Algebra -- 4 Differentiation in a Euclidean Space -- 5 Set-Valued Analysis -- 6 A Birdโs Eye View of Measure Theory and Integration -- Bibliographical Comments -- References