Some estimates of norms of random matrices

被引：127

作者：

Latala, R ^{[1
]}

机构：

[1] Warsaw Univ, Inst Math, PL-02097 Warsaw, Poland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 05期

关键词：

random matrices; operator norm;

D O I：

10.1090/S0002-9939-04-07800-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that for any random matrix (X-ij) with independent mean zero entries Eparallel to(X-ij) less than or equal to C (max(i) rootj Sigma(j) EXij2 + max(j) rootSigma(i) EXij2 + 4 rootSigma(ij) EXij4), where C is some universal constant.

引用

页码：1273 / 1282

页数：10

共 8 条

[1]

Chevet S, 1978, SERIES VARIABLES ALE, P15

[2] A LIMIT-THEOREM FOR THE NORM OF RANDOM MATRICES [J].

GEMAN, S .

ANNALS OF PROBABILITY, 1980, 8 (02) :252-261

[3]

Ledoux M., 2001, CONCENTRATION MEASUR

[4] The expected norm of random matrices [J].

Seginer, Y .

COMBINATORICS PROBABILITY & COMPUTING, 2000, 9 (02) :149-166

[5] ON THE WEAK LIMIT OF THE LARGEST EIGENVALUE OF A LARGE DIMENSIONAL SAMPLE COVARIANCE-MATRIX [J].

SILVERSTEIN, JW .

JOURNAL OF MULTIVARIATE ANALYSIS, 1989, 30 (02) :307-311

[6]

Szarek S. J., 1991, Journal of Complexity, V7, P131, DOI 10.1016/0885-064X(91)90002-F

[7] CHARACTERISTIC VECTORS OF BORDERED MATRICES WITH INFINITE DIMENSIONS [J].

WIGNER, EP .

ANNALS OF MATHEMATICS, 1955, 62 (03) :548-564

[8] ON THE LIMIT OF THE LARGEST EIGENVALUE OF THE LARGE DIMENSIONAL SAMPLE COVARIANCE-MATRIX [J].

YIN, YQ ;

BAI, ZD ;

KRISHNAIAH, PR .

PROBABILITY THEORY AND RELATED FIELDS, 1988, 78 (04) :509-521

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