The solution of operator equations AXB-X* = C and A X B + B*X*C = D
Other Title(s)
حل معادلات المؤثر AXB-X* = C و AXB + B*X*C = D
Joint Authors
Ibrahim, Nur Imad al-Din
Ahmad, Buthaynah Abd al-Hasan
Source
Issue
Vol. 56, Issue 3B (30 Sep. 2015), pp.2368-2373, 6 p.
Publisher
University of Baghdad College of Science
Publication Date
2015-09-30
Country of Publication
Iraq
No. of Pages
6
Main Subjects
Topics
Abstract AR
في هذا البحث درسنا إمكانية الحل لمعادلتي المؤثرات A X B + X* = C و كذلك A X B + B * X * = D حيث أن C, B, A و D مؤثرات خطية مقيدة كذلك أعطينا الشروط الضرورية و الكافية لوجود الحل للمعادلة (1)، أيضا أعطينا صيغة الحل العام لكلا المعادلتين باستخدام معكوس g- للمؤثر B.
Abstract EN
In this paper, we study the solvability of two operator equations AXB-X*= C (1)and AXB+B*X*C=D (2) Where A, B, C and D are bounded linear operators.
We give the necessary and sufficient conditions for the existence of a solution of equation (1), and describe the general form of the solution in the solvable case for both equations by using g-inverse of the operator B.
American Psychological Association (APA)
Ahmad, Buthaynah Abd al-Hasan& Ibrahim, Nur Imad al-Din. 2015. The solution of operator equations AXB-X* = C and A X B + B*X*C = D. Iraqi Journal of Science،Vol. 56, no. 3B, pp.2368-2373.
https://search.emarefa.net/detail/BIM-645407
Modern Language Association (MLA)
Ahmad, Buthaynah Abd al-Hasan& Ibrahim, Nur Imad al-Din. The solution of operator equations AXB-X* = C and A X B + B*X*C = D. Iraqi Journal of Science Vol. 56, no. 3B (2015), pp.2368-2373.
https://search.emarefa.net/detail/BIM-645407
American Medical Association (AMA)
Ahmad, Buthaynah Abd al-Hasan& Ibrahim, Nur Imad al-Din. The solution of operator equations AXB-X* = C and A X B + B*X*C = D. Iraqi Journal of Science. 2015. Vol. 56, no. 3B, pp.2368-2373.
https://search.emarefa.net/detail/BIM-645407
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 2373
Record ID
BIM-645407
