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Volumn 56, Issue 4, 2004, Pages 776-793

Best approximation in Riemannian geodesic submanifolds of positive definite matrices

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EID: 3943053364     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-2004-035-5     Document Type: Article
Times cited : (6)

References (11)
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    • Borwein, J.M.1    Lewis, A.S.2
  • 3
    • 0039176122 scopus 로고    scopus 로고
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    • Fiedler, M.1    Pták, V.2
  • 4
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    • Horn, R.1    Johnson, C.2
  • 5
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    • Means of positive linear operators
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    • (1980) Math. Ann. , vol.246 , pp. 205-224
    • Kubo, F.1    Ando, T.2
  • 6
    • 0003263328 scopus 로고    scopus 로고
    • Fundamentals of differential geometry
    • Springer-Verlag, New York
    • S. Lang, Fundamentals of differential geometry. Graduate Texts in Mathematics 191, Springer-Verlag, New York, 1999.
    • (1999) Graduate Texts in Mathematics , vol.191
    • Lang, S.1
  • 7
    • 0035601362 scopus 로고    scopus 로고
    • The geometric mean, matrices, metrics, and more
    • J. D. Lawson and Y. Lim, The geometric mean, matrices, metrics, and more. Amer. Math. Monthly 108(2001), 797-812.
    • (2001) Amer. Math. Monthly , vol.108 , pp. 797-812
    • Lawson, J.D.1    Lim, Y.2
  • 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( 1996), 927-949.
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    • Lewis, A.S.1
  • 9
    • 0003111058 scopus 로고    scopus 로고
    • Nonsmooth analysis of eigenvalues
    • _, Nonsmooth analysis of eigenvalues. Math. Program. 84(1999), 1-24.
    • (1999) Math. Program. , vol.84 , pp. 1-24
  • 10
    • 0030508084 scopus 로고    scopus 로고
    • Dualistic differential geometry of positive definite matrices and its applications to related problems
    • A. Ohara, N. Suda and S. Amari, Dualistic differential geometry of positive definite matrices and its applications to related problems. Linear Algebra Appl. 247(1996), 31-53.
    • (1996) Linear Algebra Appl. , vol.247 , pp. 31-53
    • Ohara, A.1    Suda, N.2    Amari, S.3
  • 11
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    • Information geometric analysis of an interior-point method for semidefinite programming
    • World Scientific
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