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Volumn 12, Issue , 2007, Pages 29-35

Spectral norm of random large dimensional noncentral Toeplitz and Hankel matrices

Author keywords

Eigenvalues; Hankel matrix; Large dimensional random matrix; Spectral norm; Toeplitz matrix; Wigner matrix

Indexed keywords


EID: 33847065987     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (16)

References (7)
  • 1
    • 33847056592 scopus 로고    scopus 로고
    • Bai, Zhidong and Yin, J. F. (1988). Necessary and sufficient condition for the almost sure convergence of the largest eigenvalue of Wigner Matrices Ann. Probab., 16, No. 4, 1729-1741. MR0958213
    • Bai, Zhidong and Yin, J. F. (1988). Necessary and sufficient condition for the almost sure convergence of the largest eigenvalue of Wigner Matrices Ann. Probab., 16, No. 4, 1729-1741. MR0958213
  • 2
    • 33644950826 scopus 로고    scopus 로고
    • Bryc, Włodzimierz, Dembo, Amir and Jiang, Tiefeng (2006). Spectral measure of large random Hankel, Markov and Toeplitz matrices. Ann. Probab., 34, no. 1, 1-38. Also available at http://arxiv.org/abs/math.PR/ 0307330 MR220634
    • Bryc, Włodzimierz, Dembo, Amir and Jiang, Tiefeng (2006). Spectral measure of large random Hankel, Markov and Toeplitz matrices. Ann. Probab., 34, no. 1, 1-38. Also available at http://arxiv.org/abs/math.PR/ 0307330 MR220634
  • 3
    • 25144519712 scopus 로고    scopus 로고
    • Distribution of eigenvalues for the ensemble of real symmetric Toeplitz matrices
    • MR2167641
    • Hammnond, Christopher and Miller, Steven J. (2005). Distribution of eigenvalues for the ensemble of real symmetric Toeplitz matrices. J. Theoret. Probab., 18, no. 3, 537-566. MR2167641
    • (2005) J. Theoret. Probab , vol.18 , Issue.3 , pp. 537-566
    • Hammnond, C.1    Miller, S.J.2
  • 4
    • 33847038313 scopus 로고    scopus 로고
    • Horn, R. A. and Johnson C. R.(1985) Matrix Analysis Cambridge Univ. Press. MR0832183
    • Horn, R. A. and Johnson C. R.(1985) Matrix Analysis Cambridge Univ. Press. MR0832183
  • 5
    • 33847058040 scopus 로고
    • The Spectral Radii and norms of large dimensional non-central random matrices
    • MR1284550
    • Silverstein, J. W. (1994). The Spectral Radii and norms of large dimensional non-central random matrices Commun. Statist-Stochastic Models, 10(3), 525-532. MR1284550
    • (1994) Commun. Statist-Stochastic Models , vol.10 , Issue.3 , pp. 525-532
    • Silverstein, J.W.1
  • 6
    • 0000840166 scopus 로고
    • Characteristic vectors of bordered matrices with infinite dimensions
    • MR0077805
    • Wigner, E. P. (1955). Characteristic vectors of bordered matrices with infinite dimensions. Ann. of Math., (2), 62, 548-564 MR0077805
    • (1955) Ann. of Math , vol.62 , Issue.2 , pp. 548-564
    • Wigner, E.P.1
  • 7
    • 0001560594 scopus 로고
    • On the distribution of the roots of certain symmetric matrices
    • MR0095527
    • Wigner, E. P. (1958). On the distribution of the roots of certain symmetric matrices. Ann. of Math., (2), 67, 325-327 MR0095527
    • (1958) Ann. of Math , vol.67 , Issue.2 , pp. 325-327
    • Wigner, E.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.