منابع مشابه
Stability of Quadratic Projection Methods
We discuss stability properties of the method studied recently in [7] and [2], for computing eigenvalues in gaps of the essential spectrum. Date: 25th January 2007. 2000 Mathematics Subject Classification. Primary: 47B36; Secondary: 47B39, 81-08.
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In the present paper a solution of the generalizedquadratic functional equation$$f(kx+ y)+f(kx+sigma(y))=2k^{2}f(x)+2f(y),phantom{+} x,yin{E}$$ isgiven where $sigma$ is an involution of the normed space $E$ and$k$ is a fixed positive integer. Furthermore we investigate theHyers-Ulam-Rassias stability of the functional equation. TheHyers-Ulam stability on unbounded domains is also studied.Applic...
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This paper presents some practical and guaranteed ways of studying the discrete-time/ continuous-time stability quality of large sparse matrices. The methods use projection techniques for computing an invariant subspace associated with a few outermost eigenvalues (those with largest real parts for the continuous-time case and with largest magnitudes in the discrete-time case). Standard Lyapunov...
متن کاملStability of approximate projection methods on cell-centered grids
Projection methods are a popular class of methods for solving the incompressible Navier-Stokes equations. If a cell-centered grid is chosen, in order to use highresolution methods for the advection terms, performing the projection exactly is problematic. An attractive alternative is to use an approximate projection, in which the velocity is required to be only approximately discretely divergenc...
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2007
ISSN: 1846-3886
DOI: 10.7153/oam-01-15