منابع مشابه
On Singular Interval Systems
We consider the interval iteration [x]kH = [A][X]k+ [b]with p(I[A]I) ::; 1 where I[A]I denotes the absolute value of the given interval matrix [A]. If I[A]I is irreducible we derive a necessary and sufficient criterion für the existence of the limit [x]*= [x]*([x]o)of each sequence ([xt) of interval iterates. In this way we generalize a well-known theorem of O. Mayer [6] on the above-mentioned ...
متن کاملFamilies of Regular Solutions of Singular Systems
The seminal 1969 paper of W. A. Harris, Jr., Y. Sibuya, and L. Weinberg provided new proofs for the Perron-Lettenmeyer theorem, as well as several other classical results, and has stimulated renewed consideration of families of regular solutions of certain singular problems. In this paper we give some further applications of the method developed there and, in addition, examine some connections ...
متن کاملEnclosing Solutions of Singular Interval Systems Iteratively
Richardson splitting applied to a consistent system of linear equations Cx = b with a singular matrix C yieJds to an iterative method ..1+1 = Axk + b where A has the eigenvalue one. It is known that each sequence of iterates is convergent to a vector x* = x*(xO)if and onJy if A is semi-convergent. In order to enclose such vectors we consider the corresponding interval iteration [X]k+1 = [A][x]k...
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In the linear system Ax = b the points x are sometimes constrained to lie in a given subspace S of column space of A. Drazin inverse for any singular or nonsingular matrix, exist and is unique. In this paper, the singular consistent or inconsistent constrained linear systems are introduced and the effect of Drazin inverse in solving such systems is investigated. Constrained linear system arise ...
متن کاملDirac systems with regular and singular transmission effects
In this paper, we investigate the spectral properties of singular eigenparameter dependent dissipative problems in Weyl’s limit-circle case with finite transmission conditions. In particular, these transmission conditions are assumed to be regular and singular. To analyze these problems we construct suitable Hilbert spaces with special inner products and linear operators associated with these p...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2007
ISSN: 0377-0427
DOI: 10.1016/j.cam.2005.07.033