What is the fastest way to compute the first eigenvector?

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I'd like to know a way to compute the first eigenvector (the eigenvector with the largest eigenvalue) of a matrix A. Now I am using eig function.
[V, D] = eig(A);
However, this computes all eigenvectors of A, resulting in slow computation.
Does anyone know if there is a fastest way to compute the eigenvector? Thank you in advance.

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gonzalo Mier
gonzalo Mier 2019년 6월 10일
Read about eigs
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gonzalo Mier
gonzalo Mier 2020년 4월 3일
Really interesting! Thank you for contribute

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