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Some results related to non-degenerate linear transformations on Euclidean Jordan algebras

R. Theivaraman|K. Saravanan|V. Piramanantham
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2023.12|한국수학논문집 (Korean Journal of Mathematics)|제31권 제4호|pp. 495-504

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참고문헌

키워드

non-degeneratestrictly semi monotone propertyEuclidean Jordan algebracomplementarity problemLyapunov-like transformations.
주제분류수학

초록

This article deals with non-degenerate linear transformations on Euclidean Jordan algebras. First, we study non-degenerate for cone invariant, copositive, Lyapunov-like, and relaxation transformations. Further, we study that the non-degenerate is invariant under principal pivotal transformations and algebraic automorphisms.

Abstract

This article deals with non-degenerate linear transformations on Euclidean Jordan algebras. First, we study non-degenerate for cone invariant, copositive, Lyapunov-like, and relaxation transformations. Further, we study that the non-degenerate is invariant under principal pivotal transformations and algebraic automorphisms.

참고문헌 (13)

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  9. Gowda, M. S, "Some global uniquness and solvability results for linear complementarity problem over symmetric cones", SIAM J. Optim, 18, pp.461~481 (2007)
  10. Alizadeh, F, "Second order cone programming", Math. Program., Ser. B, 95, pp.3~51 (2003)
  11. Gowda, M. S, "Z-transformations on proper and symmetric cones", Math. Program., Ser. B, 117, pp.195~221 (2009)
  12. Tao,J., "Some P-properties for nonlinear transformations on Euclidean Jordan algebras", Mathematics of Operations Research, 30, pp.985~1004 (2005)
  13. Tao, J., "More results on column sufficiency property in Euclidean Jordan algebras", Annals of operation research, 243, pp.229~243 (2016)

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