A priori Estimate for the solution of Sylvester equation

Abdelouahab Mansour; L. Hariz Bekkar; H Gaaya

doi:10.24297/jam.v10i7.1771

A priori Estimate for the solution of Sylvester equation

Authors

Abdelouahab Mansour Camille Jordan Institute, Claude Bernard University-Lyon1, France.
L. Hariz Bekkar Eloued University, Algeria.
H Gaaya Camille Jordan Institute, Claude Bernard University-Lyon1, France.

DOI:

https://doi.org/10.24297/jam.v10i7.1771

Keywords:

Sylvester equation, A priori estimate, selfadjoint operator, spectrum

Abstract

For A, B and Y operators in B(H) it's well known the importance of sylvester equation AX - XB= Y in control theory and its applications. In this paper -using integral calculus- we were able to give a priori estimate of the solution of famous sylvester equation when A and B are selfadjoint operators, some other results are also given.

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Author Biography

L. Hariz Bekkar, Eloued University, Algeria.

Mathematics departement,

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Published

2015-05-29

How to Cite

Mansour, A., Bekkar, L. H., & Gaaya, H. (2015). A priori Estimate for the solution of Sylvester equation. JOURNAL OF ADVANCES IN MATHEMATICS, 10(7), 3633–3638. https://doi.org/10.24297/jam.v10i7.1771