2015 8 complete

50

Upload: geetharamakrishnan

Post on 08-Apr-2016

218 views

Category:

Documents


2 download

Tags:

DESCRIPTION

convex analysis notes

TRANSCRIPT

Page 1: 2015 8 Complete
Page 2: 2015 8 Complete
Page 3: 2015 8 Complete

http://www2.isye.gatech.edu/~nemirovs/ICMNemirovski.pdf

Page 4: 2015 8 Complete

www2.isye.gatech.edu/~nemirovs/Lect_ModConvOpt.pdf

http://en.wikipedia.org/wiki/Partially_ordered_set

Page 5: 2015 8 Complete
Page 6: 2015 8 Complete
Page 7: 2015 8 Complete
Page 8: 2015 8 Complete

http://www.olivierdubois.info/projects/CompGeo/project/APPLET/applet.html

Page 9: 2015 8 Complete

http://www2.isye.gatech.edu/~nemirovs/ICMNemirovski.pdf

Page 10: 2015 8 Complete

http://www2.isye.gatech.edu/~nemirovs/ICMNemirovski.pdf

Page 11: 2015 8 Complete
Page 12: 2015 8 Complete
Page 13: 2015 8 Complete
Page 14: 2015 8 Complete
Page 15: 2015 8 Complete
Page 16: 2015 8 Complete
Page 17: 2015 8 Complete
Page 18: 2015 8 Complete
Page 19: 2015 8 Complete
Page 20: 2015 8 Complete
Page 21: 2015 8 Complete
Page 22: 2015 8 Complete

http://www2.isye.gatech.edu/~nemirovs/Lect_ModConvOpt.pdf

Page 23: 2015 8 Complete
Page 24: 2015 8 Complete

http://www2.isye.gatech.edu/~nemirovs/ICMNemirovski.pdf

Page 25: 2015 8 Complete
Page 26: 2015 8 Complete
Page 27: 2015 8 Complete
Page 28: 2015 8 Complete
Page 29: 2015 8 Complete
Page 30: 2015 8 Complete
Page 31: 2015 8 Complete
Page 32: 2015 8 Complete
Page 33: 2015 8 Complete
Page 34: 2015 8 Complete
Page 35: 2015 8 Complete
Page 36: 2015 8 Complete
Page 37: 2015 8 Complete
Page 38: 2015 8 Complete
Page 39: 2015 8 Complete
Page 40: 2015 8 Complete
Page 41: 2015 8 Complete
Page 42: 2015 8 Complete
Page 43: 2015 8 Complete

Informally speaking, is a limit point of A if there are points in A that are different from but arbitrarily close to it

Page 44: 2015 8 Complete
Page 45: 2015 8 Complete

http://www.cse.iitb.ac.in/~cs709/notes/eNotes/ExtraProblems-1.pdf

Page 46: 2015 8 Complete
Page 47: 2015 8 Complete
Page 48: 2015 8 Complete
Page 49: 2015 8 Complete
Page 50: 2015 8 Complete