The Relaxed Gradient Based Iterative Algorithm for the Symmetric (Skew Symmetric)‎ Solution of the Sylvester Equation AX+XB=C

المؤلفون المشاركون

Zhang, Xiaodan
Sheng, Xingping

المصدر

Mathematical Problems in Engineering

العدد

المجلد 2017، العدد 2017 (31 ديسمبر/كانون الأول 2017)، ص ص. 1-8، 8ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2017-04-03

دولة النشر

مصر

عدد الصفحات

8

التخصصات الرئيسية

هندسة مدنية

الملخص EN

In this paper, we present two different relaxed gradient based iterative (RGI) algorithms for solving the symmetric and skew symmetric solution of the Sylvester matrix equation AX+XB=C.

By using these two iterative methods, it is proved that the iterative solution converges to its true symmetric (skew symmetric) solution under some appropriate assumptions when any initial symmetric (skew symmetric) matrix X0 is taken.

Finally, two numerical examples are given to illustrate that the introduced iterative algorithms are more efficient.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Zhang, Xiaodan& Sheng, Xingping. 2017. The Relaxed Gradient Based Iterative Algorithm for the Symmetric (Skew Symmetric) Solution of the Sylvester Equation AX+XB=C. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1189603

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Zhang, Xiaodan& Sheng, Xingping. The Relaxed Gradient Based Iterative Algorithm for the Symmetric (Skew Symmetric) Solution of the Sylvester Equation AX+XB=C. Mathematical Problems in Engineering No. 2017 (2017), pp.1-8.
https://search.emarefa.net/detail/BIM-1189603

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Zhang, Xiaodan& Sheng, Xingping. The Relaxed Gradient Based Iterative Algorithm for the Symmetric (Skew Symmetric) Solution of the Sylvester Equation AX+XB=C. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-8.
https://search.emarefa.net/detail/BIM-1189603

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1189603