Abstract:Consider a truncated circular unitary matrix which is a p n by p n submatrix of an n by n circular unitary matrix after deleting the last n − p n columns and rows. Jiang and Qi [17] and Gui and Qi [13] study the limiting distributions of the maximum absolute value of the eigenvalues (known as spectral radius) of the truncated matrix. Some limiting distributions for the spectral radius for the truncated circular unitary matrix have been obtained under the following conditions: (1). p n /n is bounded away from … Show more
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