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The same holds when A is a normal linear operator, except that now the spectrum may include more than just the eigenvalues. This statement does not hold for nonnormal matrices and linear operators, and there is considerable interest in identifying sets in the complex plane that can be associated with nonnormal operators to provide the sort of information that the spectrum provides in the normal case. There are many reasons for wanting to do this. Among the many applications are the study of stability of differential and difference equations, prediction of cutoff phenomena in Markov chains such as the fact that it takes 7 riffle shuffles to randomize a deck of cards , and understanding the convergence behavior of iterative methods for solving large nonsymmetric systems of linear equations.

A total of 18 papers were presented, with sUbstantial time being devoted to their informal discussion. This volume constitutes the proceedings of the Conference, and includes all papers presented.


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Fractional Calculus and Applied Analysis

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Uspekhi Mat. Nauk, , Volume 12, Issue 1(73)

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Arrangements

Diethelm and A. In: S. Heinzel and T. Plesser Eds. Diethelm, N. Ford and A. Freed, Detailed error analysis for a fractional Adams method.

Aglorithms 36 , No 1 , 31— Egger and A. Neubauer, Preconditioning Landweber iteration in Hilbert scales. Engl, M. Hanke and A. Neubauer, Regularization of Inverse Problems. Kluwer, Dordrecht Flemming, B. Hofmann and P. Inverse Problems 27 , No 2 , Art. Gong, B. Hofmann and Y. Zhang, A new class of accelerated regularization methods, with application to bioluminescence tomography.

Gorenflo, A. Kilbas, F. Mainardi and S. Springer-Verlag, Heidelberg Groetsch, Integral equations of the first kind, inverse problems and regularization: a crash course. SIAM, Philadelphia Wiley, New York SIAM J. Hohage, Regularization of exponentially ill-posed problems. Kian and M. Yamamoto, On existence and uniqueness of solutions for semilinear fractional wave equations.

Kilbas, H.


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Srivastava and J.