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We consider superlinearly convergent analogues of Newton methods for nondiier-entiable operator equations in function spaces. The superlinear convergence analysis of semismooth methods for nondiierentiable equations described by deening a locally Lipschitzian operator in R n is based on Rademacher's theorem which does not hold in function spaces. We(More)
We present a local convergence analysis of generalized Newton methods for singular smooth and nonsmooth operator equations using adaptive constructs of outer inverses. We prove that for a solution x of F(x) = 0, there exists a ball S = S(x ; r), r > 0 such that for any starting point x 0 2 S the method converges to a solution x 2 S of ?F (x) = 0, where ? is(More)
Characterization of quasiconvexity and pseudoconvexity of lower semicontinuous functions on Banach spaces are presented in terms of abstract subdifferentials relying on a Mean Value Theorem. We give some properties of the normal cone to the lower level set of f. We also obtain necessary and sufficient optimality conditions in quasiconvex and pseudoconvex(More)
This conference is dedicated to Professors John Canon and Zuhair Nashed on their 75 th birthdays, and the main themes are inverse problems and partial differential equations, together with relevant computational analysis. The organization committee would like to extend sincere thanks for your coming to the conference. We believe that the conference will be(More)
See inside back cover or http://pjm.math.berkeley.edu/involve for submission instructions and subscription prices. Subscriptions, requests for back issues from the last three years and changes of subscribers address should be sent to Mathematical Sciences Publishers, Generating and zeta functions, structure, spectral and analytic properties of the moments(More)
See inside back cover or http://pjm.math.berkeley.edu/involve for submission instructions and subscription prices. Subscriptions, requests for back issues from the last three years and changes of subscribers address should be sent to Mathematical Sciences Publishers, Generating and zeta functions, structure, spectral and analytic properties of the moments(More)
In automatic target recognition (ATR), correlation filters are widely used to detect target signature variations. In this paper we concentrate on a particular case: target pose angle. For the traditional maximum average correlation height (MACH) filter method, only a few special angles can be used due to the limitation of the training data and the(More)