Contributio of row/colum of a Hermitian matrix to the leading eigenvalue

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Kyle 2011-11-24

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https://ww2.mathworks.cn/matlabcentral/answers/22124-contributio-of-row-colum-of-a-hermitian-matrix-to-the-leading-eigenvalue

关闭： MATLAB Answer Bot 2021-8-20

Hi all, thanks in advance that if you can give any clues for my question below:

Assume that I have a Hermitian matrix (M = M'), matrix is square. If I do the singular value decomposition (SVD): [U,S,V] = svd(M), we can get the leading eigenvalue which is the 1st element in S. But how much contribution that each column/row is given to this leading eigenvalue? Is there a way to measure this kind of contribution (not the eigenvalue sensitivity)?