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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)

- A. HASSOUNI, Z. Nashed, A. JADDAR
- 2003

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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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)

- Kenneth S. Berenhaut, Colin Adams, John V. Baxley, Arthur T. Benjamin, Martin Bohner, Nigel Boston +56 others
- 2013

- Kenneth S. Berenhaut, John V. Baxley, Arthur T. Benjamin, Martin Bohner, Nigel Boston, Amarjit S. Budhiraja +45 others
- 2009

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)

- Kenneth S. Berenhaut, John V. Baxley, Arthur T. Benjamin, Martin Bohner, Nigel Boston, Amarjit S. Budhiraja +45 others
- 2009

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)

- Tamás Erdélyi, Paul Nevai, Colin Bennett, Charles K. Chui, Larry L. Schumaker, Gábor Halász +5 others
- 2008

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)