The authors supply the derivative of an orthogonal matrix of eigenvectors of a real symmetric matrix. To illustrate the applicability of their result they consider a real symmetric random matrix for which a more or less standard convergence in distribution is assumed to hold. The well-known delta method is then used to get the asymptotic distribution of the orthogonal eigenmatrix of the random matrix. (C) 1997 Elsevier Science Inc. [References: 4]
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机译:作者提供了实对称矩阵特征向量正交矩阵的导数。为了说明其结果的适用性,他们考虑了一个实数对称的随机矩阵,假定该矩阵在分布中或多或少地具有标准收敛性。然后使用众所周知的增量法获得随机矩阵的正交本征矩阵的渐近分布。 (C)1997 Elsevier Science Inc. [参考:4]
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