NDLI: The convexity principle and its applications

Content Provider	Springer Nature Link
Author	Polyak, B. T.
Copyright Year	2003
Abstract	Recently [1, 2] the new convexity principle has been validated. It states that a nonlinear image of a small ball in a Hilbert space is convex, provided that the map is C1,1 and the center of the ball is a regular point of the map. This result has numerous applications in linear algebra, optimization and control.
Starting Page	59
Ending Page	75
Page Count	17
File Format	PDF
ISSN	16787544
Journal	Bulletin of the Brazilian Mathematical Society
Volume Number	34
Issue Number	1
e-ISSN	16787714
Language	English
Publisher	Springer-Verlag
Publisher Date	2003-01-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Convexity image nonlinear transformation linear algebra pseudospectrum duality nonconvex programming optimal control
Content Type	Text
Resource Type	Article
Subject	Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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The convexity principle and its applications