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.

Downloads

Download data is not yet available.

Author Biography

  • L. Hariz Bekkar, Eloued University, Algeria.
    Mathematics departement,
Journal of Advances in Mathematics

Downloads

Published

2015-05-29

Issue

Vol. 10 No. 7 (2015)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

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

Similar Articles

1-10 of 211

You may also start an advanced similarity search for this article.