منابع مشابه
On Centered and Weakly Centered Operators
and to be power bounded (notation: T ∈ (PW)) if (1) holds for every polynomial of the special form p(ζ) = ζ where n is a positive integer. If T ∈ (PB) [resp., T ∈ (PW)], then there is a smallest number M ≥ 1 which satisfies (1) [resp., (1) restricted]. This number will be called the polynomial bound [resp., the power bound] of T and will be denoted by Mpb(T ) [resp., Mpw(T )]. (If T / ∈ (PB) [r...
متن کاملLinguistic-based voting through centered OWA operators
Two linguistic-based voting systems have been introduced in recent years, namely: Majority Judgement (Balinski and Laraki, 2007) and Range Voting (Smith, 2000). The keys for them are aggregation procedures based on the median and the arithmetic mean of the grades assessed to the alternatives, respectively. In this paper a comprehensive framework based on centered OWA operators (Yager, 2007) and...
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In this paper we show that every power bounded operator weighted shift with commuting normal weights is similar to a contraction. As an application of this result, we reduce the problem whether every centered power bounded operator is similar to a contraction to the analogous question about quasi-invertible centered operators.
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Higher-order intergrid transfer operators used within cell-centered multigrid can improve the convergence properties of the multigrid method compared to low-order operators. In this thesis those operators are analyzed and incorporated into the LSE (linear systems of equation) module of the waLBerla software framework. The aim is to provide a solver for Poisson and Poisson-Boltzmann partial di e...
متن کاملIntergrid Operators for the Cell Centered Finite Difference Multigrid Algorithm on Rectangular Grids
We introduce intergrid operator recently developed for the cell centered finite difference multigrid on rectangular grids. The main idea of operator construction is based on flux continuity and certain kind of interpolation. This operator works well for solving diffusion equations both with discontinuous coefficient and with smooth coefficient. We disscuss on the construction of prolongation op...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1974
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-51-3-251-263