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Singular Sylvester equation in Banach spaces and its applications: Fredholm theory approach

  • Published:2021-08 Issue: Volume:622 Page:189-214
  • ISSN:0024-3795
  • Container-title:Linear Algebra and its Applications
  • language:en
  • Short-container-title:Linear Algebra and its Applications

Author:

Djordjević Bogdan D.ORCID

Funder

Republika Srbija Ministarstvo prosvete nauke i tehnoloskog razvoja

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference45 articles.

1. The fundamental equations for the generalized resolvent of an elementary pencil in a unital Banach algebra;Albrecht;Linear Algebra Appl.,2019

2. Inversion of operator pencils on Banach space using Jordan chains when the generalized resolvent has an isolated essential singularity;Albrecht;Linear Algebra Appl.,2020

3. Bilateral shorted operators and parallel sums;Antezana;Linear Algebra Appl.,2006

4. Schur complements and state space realizations;Bart;Linear Algebra Appl.,2005

5. Poles of a generalised resolvent operator;Bart;Proc. R. Ir. Acad. A,1974

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Iterative method for constrained systems of conjugate transpose matrix equations;Applied Numerical Mathematics;2024-02

2. Numerical solution of singular Sylvester equations;Journal of Computational and Applied Mathematics;2024-01

3. On the intrinsic structure of the solution set to the Yang–Baxter-like matrix equation;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2022-01-30

4. On the solvability of generalized Sylvester operator equations;Operators and Matrices;2022

5. The Sylvester equation in Banach algebras;Linear Algebra and its Applications;2021-12
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