메뉴 건너뛰기




Volumn 273, Issue 1-3, 1998, Pages 9-22

A connection between positive semidefinite and Euclidean distance matrix completion problems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0042859913     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(97)83714-7     Document Type: Article
Times cited : (37)

References (19)
  • 1
    • 4243251180 scopus 로고    scopus 로고
    • 1: Aspect analytique
    • (G. Choquet, H. Fakhoury, and J. Saint-Raymond, Eds.), Univ. Paris
    • 1: Aspect analytique, in Séminaire d'Initiation à l'Analyse (G. Choquet, H. Fakhoury, and J. Saint-Raymond, Eds.), Univ. Paris VI, 1979-1980, No. 14.
    • Séminaire d'Initiation à l'Analyse , vol.6 , Issue.14 , pp. 1979-1980
    • Assouad, P.1
  • 2
    • 21844519147 scopus 로고
    • The Euclidean distance matrix completion problem
    • M. Bakonyi and C. R. Johnson, The Euclidean distance matrix completion problem, SIAM J. Matrix Anal. Appl. 16(2):646-654 (1995).
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16 , Issue.2 , pp. 646-654
    • Bakonyi, M.1    Johnson, C.R.2
  • 3
    • 0027610254 scopus 로고
    • On cuts and matchings in planar graphs
    • F. Barahona, On cuts and matchings in planar graphs, Math. Programming 60:53-68 (1993).
    • (1993) Math. Programming , vol.60 , pp. 53-68
    • Barahona, F.1
  • 5
    • 0030186335 scopus 로고    scopus 로고
    • The real positive definite completion problem: Cycle completability
    • 69 pp.
    • W. W. Barrett, C. R. Johnson, and R. Loewy, The Real Positive Definite Completion Problem: Cycle Completability, Mem. Amer. Math. Soc. 584, 1996, 69 pp.
    • (1996) Mem. Amer. Math. Soc. , vol.584
    • Barrett, W.W.1    Johnson, C.R.2    Loewy, R.3
  • 6
    • 0041629678 scopus 로고
    • The real positive definite completion problem for a simple cycle
    • W. W. Barrett, C. R. Johnson, and P. Tarazaga, The real positive definite completion problem for a simple cycle, Linear Algebra Appl. 192:3-31 (1993).
    • (1993) Linear Algebra Appl. , vol.192 , pp. 3-31
    • Barrett, W.W.1    Johnson, C.R.2    Tarazaga, P.3
  • 8
    • 43949159452 scopus 로고
    • Applications of cut polyhedra - I, II
    • M. Deza and M. Laurent, Applications of cut polyhedra - I, II, J. Comput. Appl. Math. 55:191-216, 217-247 (1994).
    • (1994) J. Comput. Appl. Math. , vol.55 , pp. 191-216
    • Deza, M.1    Laurent, M.2
  • 9
    • 47849109874 scopus 로고
    • Positive definite completions of partial hermitian matrices
    • R. Grone, C. R. Johnson, E. M. Sá, and H. Wolkowicz, Positive definite completions of partial hermitian matrices, Linear Algebra Appl. 58:109-124 (1984).
    • (1984) Linear Algebra Appl. , vol.58 , pp. 109-124
    • Grone, R.1    Johnson, C.R.2    Sá, E.M.3    Wolkowicz, H.4
  • 11
  • 12
    • 85045586759 scopus 로고    scopus 로고
    • The real positive semidefinite completion problem for series-parallel graphs
    • to appear
    • M. Laurent, The real positive semidefinite completion problem for series-parallel graphs, Linear Algebra Appl., to appear.
    • Linear Algebra Appl.
    • Laurent, M.1
  • 13
    • 4243480492 scopus 로고
    • On a positive semidefinite relaxation of the cut polytope
    • M. Laurent and S. Poljak, On a positive semidefinite relaxation of the cut polytope, Linear Algebra Appl. 223/224:439-461 (1995).
    • (1995) Linear Algebra Appl. , vol.223-224 , pp. 439-461
    • Laurent, M.1    Poljak, S.2
  • 14
    • 21344489840 scopus 로고
    • A note on extreme correlation matrices
    • Chi-Kwong Li and Bit-Shun Tam, A note on extreme correlation matrices, SIAM J. Matrix anal. Appl. 15(3):903-908 (1994).
    • (1994) SIAM J. Matrix Anal. Appl. , vol.15 , Issue.3 , pp. 903-908
    • Li, C.-K.1    Tam, B.-S.2
  • 15
    • 0008725476 scopus 로고
    • Extreme points of a convex subset of the cone of positive semidefinite matrices
    • R. Loewy, Extreme points of a convex subset of the cone of positive semidefinite matrices, Math. Ann. 253:227-232 (1980).
    • (1980) Math. Ann. , vol.253 , pp. 227-232
    • Loewy, R.1
  • 16
    • 0001203499 scopus 로고
    • Sur la définition axiomatique d'une classe d'espaces vectoriels distanciés applicables vectoriellement sur l'espace de Hilbert
    • Remarks to M. Fréchet's article
    • I. J. Schoenberg, Remarks to M. Fréchet's article "Sur la définition axiomatique d'une classe d'espaces vectoriels distanciés applicables vectoriellement sur l'espace de Hilbert," Ann. Math. 36:724-732 (1935).
    • (1935) Ann. Math. , vol.36 , pp. 724-732
    • Schoenberg, I.J.1
  • 17
    • 84968492782 scopus 로고
    • Metric spaces and positive definite functions
    • I. J. Schoenberg, Metric spaces and positive definite functions, Trans. Amer. Math. Soc. 44:522-536 (1938).
    • (1938) Trans. Amer. Math. Soc. , vol.44 , pp. 522-536
    • Schoenberg, I.J.1
  • 18
    • 0003224575 scopus 로고
    • Matroids and multicommodity flows
    • P. D. Seymour, Matroids and multicommodity flows, European J. Combin. 2:257-290 (1981).
    • (1981) European J. Combin. , vol.2 , pp. 257-290
    • Seymour, P.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.