Least-Norm of the General Solution to Some System of Quaternion Matrix Equations and Its Determinantal Representations

المؤلفون المشاركون

Kyrchei, Ivan
Rehman, Abdur
Akram, Muhammad
Ali, Ilyas
Shakoor, Abdul

المصدر

Abstract and Applied Analysis

العدد

المجلد 2019، العدد 2019 (31 ديسمبر/كانون الأول 2019)، ص ص. 1-18، 18ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2019-08-19

دولة النشر

مصر

عدد الصفحات

18

التخصصات الرئيسية

الرياضيات

الملخص EN

We constitute some necessary and sufficient conditions for the system A1X1=C1, X1B1=C2, A2X2=C3, X2B2=C4, A3X1B3+A4X2B4=Cc, to have a solution over the quaternion skew field in this paper.

A novel expression of general solution to this system is also established when it has a solution.

The least norm of the solution to this system is also researched in this article.

Some former consequences can be regarded as particular cases of this article.

Finally, we give determinantal representations (analogs of Cramer’s rule) of the least norm solution to the system using row-column noncommutative determinants.

An algorithm and numerical examples are given to elaborate our results.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Rehman, Abdur& Kyrchei, Ivan& Akram, Muhammad& Ali, Ilyas& Shakoor, Abdul. 2019. Least-Norm of the General Solution to Some System of Quaternion Matrix Equations and Its Determinantal Representations. Abstract and Applied Analysis،Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1114508

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Rehman, Abdur…[et al.]. Least-Norm of the General Solution to Some System of Quaternion Matrix Equations and Its Determinantal Representations. Abstract and Applied Analysis No. 2019 (2019), pp.1-18.
https://search.emarefa.net/detail/BIM-1114508

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Rehman, Abdur& Kyrchei, Ivan& Akram, Muhammad& Ali, Ilyas& Shakoor, Abdul. Least-Norm of the General Solution to Some System of Quaternion Matrix Equations and Its Determinantal Representations. Abstract and Applied Analysis. 2019. Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1114508

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1114508