In this paper we present an extension of Reusken's Lemma about the smoothing property of a multigrid method for solving non-symmetric linear systems of equations. One of the consequences of this extended lemma is the verification of the smoothing property for all damping factors o E (0, 1). Addition
โฆ LIBER โฆ
On Krein's Formula in the Case of Non-densely Defined Symmetric Operators
โ Scribed by Sergey Belyi; Govind Menon; Eduard Tsekanovskii
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 146 KB
- Volume
- 264
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
In this paper we provide some additional results related to Krein's resolvent formula for a non-densely defined symmetric operator. We show that coefficients in Krein's formula can be expressed in terms of analogues of the classical von Neumann formulas. The relationship between two Weyl-Tichmarsh m-functions corresponding to self-adjoint extensions of a non-densely defined symmetric operator is established.
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