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L. Qiu, B. Bernhardsson, A. Rantzer, E. Davison, Peter Young, J. Doyle (1995)
A formula for computation of the real stability radiusAutom., 31
Boris Polyak (1964)
Gradient methods for solving equations and inequalitiesUssr Computational Mathematics and Mathematical Physics, 4
(1950)
Ljusternik theorem and extremum theory , Russian Math
A. Ioffe (1987)
On the local surjection propertyNonlinear Analysis-theory Methods & Applications, 11
H. Hermes (1968)
Foundations of optimal control theoryIEEE Transactions on Automatic Control, 13
B. Barmish, R. Tempo (1991)
On the spectral set for a family of polynomialsIEEE Transactions on Automatic Control, 36
Vincent Mancuso (1971)
SOME MAPPING THEOREMSAnnals of the New York Academy of Sciences, 33
Boris Polyak (2001)
Convexity of Nonlinear Image of a Small Ball with Applications to OptimizationSet-Valued Analysis, 9
J. Doyle (1995)
Robust and optimal controlProceedings of 35th IEEE Conference on Decision and Control, 2
(2002)
On convexity of images of convex sets under smooth transformations
Boris Polyak (1998)
Convexity of Quadratic Transformations and Its Use in Control and OptimizationJournal of Optimization Theory and Applications, 99
R. Murphy (1994)
Iterative solution of nonlinear equationsJournal of Computers in Mathematics and Science Teaching archive, 13
Pseudospectra gateway: www.comlab.ox.ac.uk/pseudospectra
(1970)
Convex Analysis
J. Ortega, W. Rheinboldt (2014)
Iterative solution of nonlinear equations in several variables
L. Trefethen (1997)
Pseudospectra of Linear OperatorsSIAM Rev., 39
D. Bertsekas (1995)
Nonlinear Programming
J. Wilkinson (1966)
The algebraic eigenvalue problem
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.
Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals
Published: Jan 1, 2003
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