The probabilistic estimates on the largest and smallest q-singular values of random matrices
نویسندگان
چکیده
Abstract. We study the q-singular values of random matrices with preGaussian entries defined in terms of the q-quasinorm with 0 < q ≤ 1. In this paper, we mainly consider the decay of the lower and upper tail probabilities of the largest q-singular value s 1 , when the number of rows of the matrices becomes very large. Based on the results in probabilistic estimates on the largest q-singular value, we also give probabilistic estimates on the smallest q-singular value for pre-Gaussian random matrices.
منابع مشابه
The Probabilistic Estimates on the Largest and Smallest q-Singular Values of Pre-Gaussian Random Matrices
We study the q-singular values of random matrices with pre-Gaussian entries defined in terms of the `q-quasinorm with 0 < q ≤ 1. Mainly we study the decay of the lower and upper tail probabilities of the largest q-singular value s 1 , when the number of rows of the matrices becomes very large. Furthermore, we also give probabilistic estimates for the smallest q-singular value of pre-Gaussian ra...
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ورودعنوان ژورنال:
- Math. Comput.
دوره 84 شماره
صفحات -
تاریخ انتشار 2015