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On the Titchmarsh-Weyl Coefficients for Singular S-Hermitian Systems I

✍ Scribed by D. B. Hinton; A. Schneider

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
863 KB
Volume
163
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Singular S‐Hermitian systems are studied with the goal of defining a Titchmarsh‐Weyl M(λ)‐coefficient directly in terms of separated, selfadjoint boundary conditions. A general deficiency index is allowed. The resolvent operator is constructed and a self‐adjoint operator A is constructed in the Hilbert space which gives an equivalent description of the singular S‐Hermitian boundary value problem.

📜 SIMILAR VOLUMES

On the Titchmarsh-Weyl Coefficients for
On the Titchmarsh-Weyl Coefficients for Singular S-Hermitian Systems II
✍ D. B. Hinton; A. Schneider 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 653 KB

## Abstract In part I of this work we defined a Titchmarsh‐Weyl‐coefficient __M__(λ) for singular 8 hermitian systems of arbitrary deficiency index. This construction proceeded by the method of von Noumann for selfadjoint extensions of symmetric operators. In this part we show how a Titchmarsh‐Weyl

On the convergence of general stationary
On the convergence of general stationary iterative methods for range-Hermitian singular linear systems
✍ Naimin Zhang; Yi-Min Wei 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 142 KB 👁 1 views

## Abstract General stationary iterative methods with a singular matrix __M__ for solving range‐Hermitian singular linear systems are presented, some convergence conditions and the representation of the solution are also given. It can be verified that the general Ortega–Plemmons theorem and Keller