000 04089nam a22004935i 4500
001 978-0-387-31256-9
003 DE-He213
005 20250710083948.0
007 cr nn 008mamaa
008 100504s2006 xxu| s |||| 0|eng d
020 _a9780387312569
_a99780387312569
024 7 _a10.1007/978-0-387-31256-9
_2doi
082 0 4 _a515
_223
100 1 _aBorwein, Jonathan.
_eauthor.
245 1 0 _aConvex Analysis and Nonlinear Optimization
_h[recurso electrónico] :
_bTheoryand Examples /
_cby Jonathan Borwein, Adrian Lewis.
250 _aSecond Edition.
264 1 _aNew York, NY :
_bSpringer New York,
_c2006.
300 _aXII, 310 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aCMS Books in Mathematics,
_x1613-5237
505 0 _aBackground -- Inequality Constraints -- Fenchel Duality -- Convex Analysis -- Special Cases -- Nonsmooth Optimization -- Karush-Kuhn-Tucker Theory -- Fixed Points -- More Nonsmooth Structure -- Postscript: Infinite Versus Finite Dimensions -- List of Results and Notation.
520 _aA cornerstone of modern optimization and analysis, convexity pervades applications ranging through engineering and computation to finance. This concise introduction to convex analysis and its extensions aims at first year graduate students, and includes many guided exercises. The corrected Second Edition adds a chapter emphasizing concrete models. New topics include monotone operator theory, Rademacher's theorem, proximal normal geometry, Chebyshev sets, and amenability. The final material on "partial smoothness" won a 2005 SIAM Outstanding Paper Prize. Jonathan M. Borwein, FRSC is Canada Research Chair in Collaborative Technology at Dalhousie University. A Fellow of the AAAS and a foreign member of the Bulgarian Academy of Science, he received his Doctorate from Oxford in 1974 as a Rhodes Scholar and has worked at Waterloo, Carnegie Mellon and Simon Fraser Universities. Recognition for his extensive publications in optimization, analysis and computational mathematics includes the 1993 Chauvenet prize. Adrian S. Lewis is a Professor in the School of Operations Research and Industrial Engineering at Cornell. Following his 1987 Doctorate from Cambridge, he has worked at Waterloo and Simon Fraser Universities. He received the 1995 Aisenstadt Prize, from the University of Montreal, and the 2003 Lagrange Prize for Continuous Optimization, from SIAM and the Mathematical Programming Society. About the First Edition: "...a very rewarding book, and I highly recommend it... " - M.J. Todd, in the International Journal of Robust and Nonlinear Control "...a beautifully written book... highly recommended..." - L. Qi, in the Australian Mathematical Society Gazette "This book represents a tour de force for introducing so many topics of present interest in such a small space and with such clarity and elegance." - J.-P. Penot, in Canadian Mathematical Society Notes "There is a fascinating interweaving of theory and applications..." - J.R. Giles, in Mathematical Reviews "...an ideal introductory teaching text..." - S. Cobzas, in Studia Universitatis Babes-Bolyai Mathematica
650 0 _aMATHEMATICS.
650 0 _aGLOBAL ANALYSIS (MATHEMATICS).
650 0 _aMATHEMATICAL OPTIMIZATION.
650 0 _aOPERATIONS RESEARCH.
650 1 4 _aMATHEMATICS.
650 2 4 _aANALYSIS.
650 2 4 _aOPTIMIZATION.
650 2 4 _aCALCULUS OF VARIATIONS AND OPTIMAL CONTROL, OPTIMIZATION.
650 2 4 _aOPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING.
700 1 _aLewis, Adrian.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387295701
830 0 _aCMS Books in Mathematics,
_x1613-5237
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-31256-9
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c57129
_d57129