Convex Analysis (R. Tyrrell Rockafellar)

Previous article Next article Convex Analysis (R. Tyrrell Rockafellar)Victor KleeVictor Kleehttps://doi.org/10.1137/1013042PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] E. F. Bechenbach, Convex functions, Bull. Amer. Math. Soc., 54 (1948), 439–460 MR0024479 0041.38003 CrossrefISIGoogle Scholar[2] John M. Danskin, The theory of max-min and its application to weapons allocation problems, Econometrics and Operations Research, Vol. V, Springer-Verlag New York, Inc., New York, 1967ix+126 MR0228260 0154.20009 CrossrefGoogle Scholar[3] W. Fenchel, On conjugate convex functions, Canadian J. Math., 1 (1949), 73–77 MR0028365 0038.20902 CrossrefISIGoogle Scholar[4] W. Fenchel, Convex Cones, Sets and Functions, mimeographed lecture notes, Princeton University, Princeton, 1951 Google Scholar[5] Allen A. Goldstein, Constructive real analysis, Harper & Row Publishers, New York, 1967xii+178 MR0217616 0189.49703 Google Scholar[6] G. H. Hardy, , J. E. Littlewood and , G. Pólya, Inequalities, Cambridge, at the University Press, 1952xii+324, 2nd ed.; 1st ed. 1934 MR0046395 0047.05302 Google Scholar[7] A. D. Ioffe and , V. M. Tihomirov, Duality of convex functions, and extremal problems, Uspehi Mat. Nauk, 23 (1968), 51–116, English transl., Russian Math. Surveys 23 (1968), pp. 53–124 MR0288601 0191.13101 Google Scholar[8] M. A. kranosel'skii˘ and , Ya B. Rutickii˘, Convex Functions and Orlicz Spaces, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1958, English transl., P. Noordhoff, Gröningen, Netherlands, 1961 Google Scholar[9] J. J. Moreau, Fonctionelles Convexes, Séminaire “Equations aux dérivées partielles”, mimeographed lecture notes, College de France, Paris, 1966–1967 Google Scholar[10] Tibere Popoviciu, Les fonctions convexes, Actualités Sci. Ind., no. 992, Hermann et Cie, Paris, 1944, 76– MR0018705 0060.14911 Google Scholar[11] Josef Stoer and , Christoph Witzgall, Convexity and optimization in finite dimensions. I, Die Grundlehren der mathematischen Wissenschaften, Band 163, Springer-Verlag, New York, 1970ix+293 MR0286498 0203.52203 CrossrefGoogle Scholar[12] Willard I. Zangwill and , B. Mond, Nonlinear programming: a unified approach, Prentice-Hall Inc., Englewood Cliffs, N.J., 1969xvi+356 MR0359816 0195.20804 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Certifying optimality for convex quantum channel optimization problems1 May 2021 | Quantum, Vol. 5 Cross Ref Volume 13, Issue 2| 1971SIAM Review History Published online:18 July 2006 InformationCopyright © 1971 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1013042Article page range:pp. 233-238ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics