Zuhair Nashed

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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)
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)
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