Zuhair Nashed

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We consider superlinearly convergent analogues of Newton methods for nondifferentiable operator equations in function spaces. The superlinear convergence analysis of semismooth methods for nondifferentiable equations described by a locally Lipschitzian operator in Rn is based on Rademacher’s theorem which does not hold in function spaces. We introduce a(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)
The present paper is devoted to the stability analysis of a general class of hemivariational inequalities. Essentially, we present two approaches for this class of problems. First, using a general version of Minty’s Lemma and the convergence result of generalized gradients due to T. Zolezzi [23], we prove a stability result in the spirit of Mosco’s results(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)
Colin Adams John V. Baxley Arthur T. Benjamin Martin Bohner Nigel Boston Amarjit S. Budhiraja Pietro Cerone Scott Chapman Jem N. Corcoran Toka Diagana Michael Dorff Sever S. Dragomir Behrouz Emamizadeh Joel Foisy Errin W. Fulp Joseph Gallian Stephan R. Garcia Anant Godbole Ron Gould Andrew Granville Jerrold Griggs Sat Gupta Jim Haglund Johnny Henderson Jim(More)
Colin Adams John V. Baxley Arthur T. Benjamin Martin Bohner Nigel Boston Amarjit S. Budhiraja Pietro Cerone Scott Chapman Jem N. Corcoran Toka Diagana Michael Dorff Sever S. Dragomir Behrouz Emamizadeh Joel Foisy Errin W. Fulp Joseph Gallian Stephan R. Garcia Anant Godbole Ron Gould Andrew Granville Jerrold Griggs Sat Gupta Jim Haglund Johnny Henderson Jim(More)
In this paper we give conditions which assure the coercive solvability of an abstract differential equation of elliptic type with an operator in the boundary conditions, and the completeness of generalized eigenfunctions. We apply the abstract result to show that a non regular boundary value problem for a second order partial differential equation of an(More)
We consider reconstruction of signals by a direct method for the solution of the discrete Fourier system. We note that the reconstruction of a time-limited signal can be simply realized by using only either the real part or the imaginary part of the discrete Fourier transform (DFT) matrix. Therefore, based on the study of the special structure of the real(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)
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