A Lie product type formula in Euclidean Jordan algebras

• Autorzy: Jiyuan Tao
• Języki publikacji: EN

Abstrakty

EN

In this paper,we state and prove an analog of Lie product formula in the setting of Euclidean Jordan algebras.

Słowa kluczowe

EN

Euclidean Jordan algebra; Lie product formula

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2016
• Tom: 4
• Numer: 1
• Strony: 255-261

Daty

otrzymano

2015-03-19

zaakceptowano

2016-06-02

online

2016-06-16

Twórcy

autor

Jiyuan Tao

• Department of Mathematical Sciences, Loyola University Maryland, Baltimore, MD 21210, USA

Bibliografia

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• [6] B.K. Rangarajan, Polynomial convergence of infeasible-interior-point methods over symmetric cones, SIAM J. Optim., 16, 1211-1229, 2006.
• [7] J.F. Sturm, Similarity and other spectral relations for symmetric cones, Linear Alg. Appl., 312, 135-154, 2000.
• [8] J. Tao, L. Kong, Z. Luo, and N. Xiu, Somemajorization inequalities in Euclidean Jordan algebras, Linear Alg. Appl., 461, 92-122 (2014).
• [9] X. Zhan, Matrix Inequalities, Springer, 2002.
• [10] F. Zhang, Quaternions and matrices of quaternions, Linear Alg. Appl. 251, 21-27 (1997).

Identyfikatory

DOI

10.1515/spma-2016-0025