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Volumn 5, Issue , 1999, Pages 1-10

An extension of a result of Lewis

Author keywords

Eaton triple; Finite reflection group; Reduced triple

Indexed keywords


EID: 0010708134     PISSN: 10813810     EISSN: None     Source Type: Journal    
DOI: 10.13001/1081-3810.1026     Document Type: Article
Times cited : (26)

References (16)
  • 1
    • 0025474861 scopus 로고
    • The projected gradient method for least squares matrix approximations with spectral constraints
    • M.T. Chu and K.R. Driessel. The projected gradient method for least squares matrix approximations with spectral constraints. SIAM J. Numer. Anal., 27:1050-1060, 1990
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 1050-1060
    • Chu, M.T.1    Driessel, K.R.2
  • 2
    • 0000142610 scopus 로고
    • On a theorem of Weyl concerning eigenvalues of linear transformations
    • K. Fan. On a theorem of Weyl concerning eigenvalues of linear transformations. Proc. Nat. Acad. Sci. U.S.A., 35:652-655, 1949.
    • (1949) Proc. Nat. Acad. Sci. U.S.A. , vol.35 , pp. 652-655
    • Fan, K.1
  • 3
    • 10044251821 scopus 로고    scopus 로고
    • Distance to the convex hull of an orbit under the action of a compact Lie group
    • to appear
    • R.R. Holmes and T.Y. Tam. Distance to the convex hull of an orbit under the action of a compact Lie group. J. Austral. Math. Soc. Ser. A, to appear.
    • J. Austral. Math. Soc. Ser. A
    • Holmes, R.R.1    Tam, T.Y.2
  • 6
    • 0000368974 scopus 로고
    • On convexity, the Weyl group and Iwasawa decomposition
    • B. Kostant. On convexity, the Weyl group and Iwasawa decomposition. Ann. Sci. École Norm. Sup., (4) 6:413-460, 1973.
    • (1973) Ann. Sci. École Norm. Sup. , vol.6 , Issue.4 , pp. 413-460
    • Kostant, B.1
  • 7
    • 10044262725 scopus 로고    scopus 로고
    • Convex analysis on Cartan subspaces
    • to appear
    • A.S. Lewis. Convex analysis on Cartan subspaces. Nonlinear Anal., to appear.
    • Nonlinear Anal.
    • Lewis, A.S.1
  • 8
    • 0030518228 scopus 로고    scopus 로고
    • Group invariance and convex matrix analysis
    • A.S. Lewis. Group invariance and convex matrix analysis. SIAM J. Matrix Anal. Appl., 17:927-949, 1996
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , pp. 927-949
    • Lewis, A.S.1
  • 9
    • 0030486434 scopus 로고
    • A supplement to the von Neumann trace inequality for singular values
    • H. Miranda and R.C. Thompson.A supplement to the von Neumann trace inequality for singular values. Linear Algebra Appl., 248: 61-66, 1994.
    • (1994) Linear Algebra Appl. , vol.248 , pp. 61-66
    • Miranda, H.1    Thompson, R.C.2
  • 10
    • 0000011340 scopus 로고
    • Some matrix-inequalities and metrization of matrix-space
    • J. von Neumann. Some matrix-inequalities and metrization of matrix-space. Tomsk. Univ. Rev. 1:286-300, 1937; in Collected Works, Pergamon, New York, Vol. 4, p.205-219, 1962.
    • (1937) Tomsk. Univ. Rev. , vol.1 , pp. 286-300
    • Von Neumann, J.1
  • 11
    • 0011328006 scopus 로고
    • Pergamon, New York
    • J. von Neumann. Some matrix-inequalities and metrization of matrix-space. Tomsk. Univ. Rev. 1:286-300, 1937; in Collected Works, Pergamon, New York, Vol. 4, p.205-219, 1962.
    • (1962) Collected Works , vol.4 , pp. 205-219
  • 12
    • 0042208950 scopus 로고    scopus 로고
    • Group majorization and Schur type inequalities
    • M. Niezgoda. Group majorization and Schur type inequalities. Linear Algebra Appl., 268:9-30, 1998.
    • (1998) Linear Algebra Appl. , vol.268 , pp. 9-30
    • Niezgoda, M.1
  • 13
    • 0032393863 scopus 로고    scopus 로고
    • On Schur-Ostrowski type theorems for group majorizations
    • M. Niezgoda. On Schur-Ostrowski type theorems for group majorizations. J. Convex Anal., 5:81-105, 1998.
    • (1998) J. Convex Anal. , vol.5 , pp. 81-105
    • Niezgoda, M.1
  • 14
    • 0040664129 scopus 로고    scopus 로고
    • Miranda-Thompson's trace inequality and a log convexity result
    • T.Y. Tam. Miranda-Thompson's trace inequality and a log convexity result. Linear Algebra Appl., 272:91-101, 1997.
    • (1997) Linear Algebra Appl. , vol.272 , pp. 91-101
    • Tam, T.Y.1
  • 15
    • 26444570014 scopus 로고    scopus 로고
    • Group majorization, Eaton triples and numerical range
    • to appear
    • T.Y. Tam. Group majorization, Eaton triples and numerical range, Linear and Multilinear Algebra, to appear.
    • Linear and Multilinear Algebra
    • Tam, T.Y.1
  • 16
    • 84976150915 scopus 로고
    • An inequality for the trace of the product of two symmetric matrices
    • C.M. Theobald. An inequality for the trace of the product of two symmetric matrices. Math. Proc. Cambridge Philos. Soc. 77:265, 1975.
    • (1975) Math. Proc. Cambridge Philos. Soc. , vol.77 , pp. 265
    • Theobald, C.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.