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Volumn 14, Issue 3, 2004, Pages 1559-1576

Concentration of permanent estimators for certain large matrices

Author keywords

Concentration of measure; Permanent; Random matrices

Indexed keywords


EID: 26844441569     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/105051604000000396     Document Type: Article
Times cited : (15)

References (15)
  • 1
    • 0031534271 scopus 로고    scopus 로고
    • Circular law
    • BAI, Z. D. (1997). Circular law. Ann. Probab. 25 494-529.
    • (1997) Ann. Probab. , vol.25 , pp. 494-529
    • Bai, Z.D.1
  • 2
    • 0033479677 scopus 로고    scopus 로고
    • Polynomial time algorithms to approximate permanents and mixed discriminants within a simply exponential factor
    • BARVINOK, A. (1999). Polynomial time algorithms to approximate permanents and mixed discriminants within a simply exponential factor. Random Structures Algorithms 14 29-61.
    • (1999) Random Structures Algorithms , vol.14 , pp. 29-61
    • Barvinok, A.1
  • 4
    • 0142091458 scopus 로고    scopus 로고
    • Clifford algebras and approximating the permanent
    • CHIEN, S., RASMUSSEN, L. and SINCLAIR, A. (2002). Clifford algebras and approximating the permanent. J. Comput. System Sci. 67 263-290.
    • (2002) J. Comput. System Sci. , vol.67 , pp. 263-290
    • Chien, S.1    Rasmussen, L.2    Sinclair, A.3
  • 5
    • 0000383297 scopus 로고
    • Asymptotic forms for Laguerre polynomials
    • ERDELYI, A. (1960). Asymptotic forms for Laguerre polynomials. J. Indian Math. Soc. 24 235-250.
    • (1960) J. Indian Math. Soc. , vol.24 , pp. 235-250
    • Erdelyi, A.1
  • 6
    • 0000282987 scopus 로고
    • Maximum properties and inequalities of completely continuous operators
    • FAN, K. (1951). Maximum properties and inequalities of completely continuous operators. Proc. Natl. Acad. Sci. 37 760-766.
    • (1951) Proc. Natl. Acad. Sci. , vol.37 , pp. 760-766
    • Fan, K.1
  • 7
    • 0005347268 scopus 로고
    • On the matching polynomial of a graph
    • (L. Lóvasz and V. T. Sós, eds.). North-Holland, Amsterdam
    • GODSIL, C. D. and GUTMAN, I. (1981). On the matching polynomial of a graph. In Algebraic Methods in Graph Theory I-II (L. Lóvasz and V. T. Sós, eds.) 67-83. North-Holland, Amsterdam.
    • (1981) Algebraic Methods in Graph Theory , vol.1-2 , pp. 67-83
    • Godsil, C.D.1    Gutman, I.2
  • 8
    • 0001226135 scopus 로고    scopus 로고
    • Concentration of the spectral measure for large matrices
    • GUIONNET, A. and ZEITOUNI, O. (2000). Concentration of the spectral measure for large matrices. Electron. J. Probab. 119-136.
    • (2000) Electron. J. Probab. , pp. 119-136
    • Guionnet, A.1    Zeitouni, O.2
  • 9
    • 0000952005 scopus 로고
    • Distribution of matrix variates and latent roots derived from normal samples
    • JAMES, A. T. (1964). Distribution of matrix variates and latent roots derived from normal samples. Ann. Math. Statist. 35 475-501.
    • (1964) Ann. Math. Statist. , vol.35 , pp. 475-501
    • James, A.T.1
  • 10
    • 0006714584 scopus 로고    scopus 로고
    • A polynomial-time approximation algorithm for the permanent of a matrix with non-negative entries
    • JERRUM, M., SINCLAIR, A. and VIGODA, E. (2000). A polynomial-time approximation algorithm for the permanent of a matrix with non-negative entries. ECCC 79 1-21.
    • (2000) ECCC , vol.79 , pp. 1-21
    • Jerrum, M.1    Sinclair, A.2    Vigoda, E.3
  • 11
    • 0034363964 scopus 로고    scopus 로고
    • A deterministic strongly polynomial algorithm for matrix scaling and approximate permanents
    • LINIAL, N., SAMORODNITSKY, A. and WIGDERSON, A. (2000). A deterministic strongly polynomial algorithm for matrix scaling and approximate permanents. Combinatorica 20 545-568.
    • (2000) Combinatorica , vol.20 , pp. 545-568
    • Linial, N.1    Samorodnitsky, A.2    Wigderson, A.3
  • 12
    • 0032510932 scopus 로고    scopus 로고
    • Probability density of the determinant of a random Hermitian matrix
    • MEHTA, M. L. and NORMAND, J.-M. (1998). Probability density of the determinant of a random Hermitian matrix. J. Phys. A. 31 5377-5391.
    • (1998) J. Phys. A. , vol.31 , pp. 5377-5391
    • Mehta, M.L.1    Normand, J.-M.2
  • 13
    • 0001629248 scopus 로고
    • The smallest eigenvalue of a large dimensional Wishart matrix
    • SILVERSTEIN, J. W. (1985). The smallest eigenvalue of a large dimensional Wishart matrix. Ann. Probab. 13 1364-1368.
    • (1985) Ann. Probab. , vol.13 , pp. 1364-1368
    • Silverstein, J.W.1
  • 15
    • 49249151236 scopus 로고
    • The complexity of computing the permanent
    • VALIANT, L. G. (1979). The complexity of computing the permanent. Theoret. Comput. Sci. 8 189-201.
    • (1979) Theoret. Comput. Sci. , vol.8 , pp. 189-201
    • Valiant, L.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.