Year 2006,
Volume: 8 Issue: 2, 107 - 110, 01.05.2006
Abstract
In this paper, the trace inequalities involving special products of the positive semidefinite
matrices are investigated. The trace inequalities between the Kronecker product and
Kronecker sum of two matrices is obtained as in the short note Yang’s inequalities.
References
- Brewer J.M. (1978): “Kronecker Products and Matrix Calculus in System Theory”, IEEE Transaction on Circuits and Systems, Vol. 25, no. 9, 772-781.
- Rao S.S., Mitra S.K. (1971): “Generalized Inverse of Matrices and its Applications”, J.Wiley, New York.
- Yang X.M. (1995): “A Generalization of a Matrix Trace Inequality”, J. Math. Anal. Appl., 189, 897-900.
- Yang Y. (1988): “A Matrix Trace Inequality”, J. Math. Anal. Appl., 133, 573-574.
Year 2006,
Volume: 8 Issue: 2, 107 - 110, 01.05.2006
Abstract
Bu çalışmada, bazı özel matris çarpımları ile ifade edilen yarı pozitif tanımlı çarpım
matrislerinin izleri arasındaki eşitsizlikler incelenmiştir. Xin-Min Yang’ın makalesindeki
eşitsizliklere bağlı olarak Kronecker çarpım ve toplam matrislerinin izleri arasındaki
eşitsizlikler elde edilmiştir.
References
- Brewer J.M. (1978): “Kronecker Products and Matrix Calculus in System Theory”, IEEE Transaction on Circuits and Systems, Vol. 25, no. 9, 772-781.
- Rao S.S., Mitra S.K. (1971): “Generalized Inverse of Matrices and its Applications”, J.Wiley, New York.
- Yang X.M. (1995): “A Generalization of a Matrix Trace Inequality”, J. Math. Anal. Appl., 189, 897-900.
- Yang Y. (1988): “A Matrix Trace Inequality”, J. Math. Anal. Appl., 133, 573-574.
There are 4 citations in total.
Details
| Other ID | JA46VR24NT |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Publication Date | May 1, 2006 |
| Published in Issue | Year 2006 Volume: 8 Issue: 2 |
Cite
Dokuz Eylül Üniversitesi, Mühendislik Fakültesi Dekanlığı Tınaztepe Yerleşkesi, Adatepe Mah. Doğuş Cad. No: 207-I / 35390 Buca-İZMİR.