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Browsing by Subject "projection methods"

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    Item type:Article, Access status: Open Access ,
    Approximation methods for a class of discrete Wiener-Hopf equations
    (2009) Nowak, Michał Andrzej
    In this paper, we consider approximation methods for operator equations of the form $Au + Bu = f$, where $A$ is a discrete Wiener-Hopf operator on $l_{p}$ $1 \leq p \lt \infty$ which symbol has roots on the unit circle with arbitrary multiplicities (not necessary integers). Conditions on perturbation $B$ and $f$ are given in order to guarantee the applicability of projection-iterative methods. Effective error estimates, and simultaneously, decaying properties for solutions are obtained in terms of some smooth spaces.