First MATLAB Build (Directly) Supporting Left Eigenvector in eig?

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Mark Stone 2015-5-18

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https://ww2.mathworks.cn/matlabcentral/answers/217418-first-matlab-build-directly-supporting-left-eigenvector-in-eig

评论： Mark Stone 2016-8-20

Since at least R2014A, eig has the following option, which returns both left and right eigenvectors in one command, without resorting to a second call to eig on the transpose of the original matrix.

[V,D,W] = eig(A) also produces a full matrix W whose columns are the
    corresponding left eigenvectors so that W'*A = D*W'.

Somewhat to my surprise, I discovered that this calling sequence is not supported in MATLAB R2013A, and that it only returns right eigenvectors, thereby necessitating a call to eig on A' in order to get its right eigenvectors, which are the left eigenvectors of A. I had assumed it had been in MATLAB since time immemorial (the old Fortran-based MATLAB days).

Thanks.