About: Eigengap

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In linear algebra, the eigengap of a linear operator is the difference between two successive eigenvalues, where eigenvalues are sorted in ascending order. The Davis–Kahan theorem, named after Chandler Davis and William Kahan, uses the eigengap to show how eigenspaces of an operator change under perturbation. In spectral clustering, the eigengap is often referred to as the spectral gap; although the spectral gap may often be defined in a broader sense than that of the eigengap.

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  • In linear algebra, the eigengap of a linear operator is the difference between two successive eigenvalues, where eigenvalues are sorted in ascending order. The Davis–Kahan theorem, named after Chandler Davis and William Kahan, uses the eigengap to show how eigenspaces of an operator change under perturbation. In spectral clustering, the eigengap is often referred to as the spectral gap; although the spectral gap may often be defined in a broader sense than that of the eigengap. (en)
  • 在矩阵论中，特征裂隙（eigen gap）指的是一组相邻的特征值（或奇异值）所构成的集合，与其它特征值（或奇异值）之间的豪斯多夫距离。 特征裂隙的概念，一般只在矩阵的全部特征值（或奇异值）都是实数之语境下提出和研讨。 (zh)
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  • In linear algebra, the eigengap of a linear operator is the difference between two successive eigenvalues, where eigenvalues are sorted in ascending order. The Davis–Kahan theorem, named after Chandler Davis and William Kahan, uses the eigengap to show how eigenspaces of an operator change under perturbation. In spectral clustering, the eigengap is often referred to as the spectral gap; although the spectral gap may often be defined in a broader sense than that of the eigengap. (en)
  • 在矩阵论中，特征裂隙（eigen gap）指的是一组相邻的特征值（或奇异值）所构成的集合，与其它特征值（或奇异值）之间的豪斯多夫距离。 特征裂隙的概念，一般只在矩阵的全部特征值（或奇异值）都是实数之语境下提出和研讨。 (zh)
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  • Eigengap (en)
  • 特征裂隙 (zh)
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