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Volumn 15, Issue 4, 2003, Pages 639-644

Simultaneous diagonalization on simple Euclidean Jordan algebras and its applications

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EID: 0037838900     PISSN: 09337741     EISSN: None     Source Type: Journal    
DOI: 10.1515/form.2003.034     Document Type: Article
Times cited : (27)

References (14)
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    • Euclidean Jordan algebras and interior-point algorithms
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    • Jordan algebras and holomorphy
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    • Kaup, W.: Jordan algebras and holomorphy. In: Functional analysis, holomorphy, and approximation theory, pp. 341-365. Lecture Notes in Mathematics 843, Springer-Verlag, New York-Berlin-Heidelberg 1981
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    • Jordan algebras and their applications
    • University of Minnesota
    • Koecher, M.: Jordan algebras and their applications. Lecture Notes, University of Minnesota 1962
    • (1962) Lecture Notes
    • Koecher, M.1
  • 7
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    • On convexity, the Weyl group and the Iwasawa decomposition
    • Kostant, B.: On convexity, the Weyl group and the Iwasawa decomposition. Ann. Sci. Ecole Norm. Sup. 6 (1973), 413-455
    • (1973) Ann. Sci. Ecole Norm. Sup. , vol.6 , pp. 413-455
    • Kostant, B.1
  • 8
    • 0030518228 scopus 로고    scopus 로고
    • Group invariance and convex matrix analysis
    • Lewis, A. S.: Group invariance and convex matrix analysis. SIAM J. Matrix Anal. Appl. 17 (1996), no. 4, 927-949
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , Issue.4 , pp. 927-949
    • Lewis, A.S.1
  • 9
    • 0030304775 scopus 로고    scopus 로고
    • Convex analysis on the Hermitian matrices
    • Lewis, A. S.: Convex analysis on the Hermitian matrices. SIAM J. Optim. 6 (1996), 164-177
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    • Lewis, A.S.1
  • 10
    • 0003111058 scopus 로고    scopus 로고
    • Nonsmooth analysis of eigenvalues
    • Ser. A
    • Lewis, A. S.: Nonsmooth analysis of eigenvalues. Math. Program. 84 (1999), Ser. A, 1-24
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    • Lewis, A.S.1
  • 11
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    • Convex analysis on Cartan subspaces
    • Ser. A: Theory Methods
    • Lewis, A. S.: Convex analysis on Cartan subspaces. Nonlinear Anal. 42 (2000), Ser. A: Theory Methods, 813-820
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    • Lewis, A.S.1
  • 12
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    • Von Neumann's lemma and a Chevalley-type theorem for convex functions on Cartan subspaces
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    • Lewis, A. S.: Von Neumann's lemma and a Chevalley-type theorem for convex functions on Cartan subspaces. Technical Report CORR 95-19, University of Waterloo 1995
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  • 13
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    • On commutative class of search direction for linear programming over symmetric cones
    • Muramatsu, M.: On commutative class of search direction for linear programming over symmetric cones. (To appear in Journal of Optimization Theory and its Applications 112 (2002))
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  • 14
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    • An infinite-dimensional version of the Schur-Horn convexity theorem
    • Neumann, A.: An infinite-dimensional version of the Schur-Horn convexity theorem. J. Funct. Anal. 161 (1999), 418-451
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    • Neumann, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.