On the spectral norm of a random Toeplitz matrix
نویسندگان
چکیده
منابع مشابه
On the Spectral Norm of a Random Toeplitz Matrix
Abstract Suppose that Tn is a Toeplitz matrix whose entries come from a sequence of independent but not necessarily identically distributed random variables with mean zero. Under some additional tail conditions, we show that the spectral norm of Tn is of the order √ n log n. The same result holds for random Hankel matrices as well as other variants of random Toeplitz matrices which have been st...
متن کاملSpectral Norm of Random Large Dimensional Noncentral Toeplitz and Hankel Matrices
Suppose sn is the spectral norm of either the Toeplitz or the Hankel matrix whose entries come from an i.i.d. sequence of random variables with positive mean μ and finite fourth moment. We show that n−1/2(sn − nμ) converges to the normal distribution in either case. This behaviour is in contrast to the known result for the Wigner matrices where sn−nμ is itself asymptotically normal.
متن کاملthe effect of consciousness raising (c-r) on the reduction of translational errors: a case study
در دوره های آموزش ترجمه استادان بیشتر سعی دارند دانشجویان را با انواع متون آشنا سازند، درحالی که کمتر به خطاهای مکرر آنان در متن ترجمه شده می پردازند. اهمیت تحقیق حاضر مبنی بر ارتکاب مکرر خطاهای ترجمانی حتی بعد از گذراندن دوره های تخصصی ترجمه از سوی دانشجویان است. هدف از آن تاکید بر خطاهای رایج میان دانشجویان مترجمی و کاهش این خطاها با افزایش آگاهی و هوشیاری دانشجویان از بروز آنها است.از آنجا ک...
15 صفحه اولOn the Spectral Norm of Gaussian Random Matrices
Let X be a d×d symmetric random matrix with independent but non-identically distributed Gaussian entries. It has been conjectured by Lata la that the spectral norm of X is always of the same order as the largest Euclidean norm of its rows. A positive resolution of this conjecture would provide a sharp understanding of the probabilistic mechanisms that control the spectral norm of inhomogeneous ...
متن کاملOn the Generalized Matrix Approximation Problems in the Spectral Norm
In this paper theoretical results regarding a generalized minimum rank matrix approximation problem in the spectral norm are presented. An alternative solution expression for the generalized matrix approximation problem is obtained. This alternative expression provides a simple characterization of the achievable minimum rank, which is shown to be the same as the optimal objective value of the c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Communications in Probability
سال: 2007
ISSN: 1083-589X
DOI: 10.1214/ecp.v12-1313