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

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Mark Stone
Mark Stone 2015-5-18
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.

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jpfeifer
jpfeifer 2016-8-20
You can see in the release notes at http://de.mathworks.com/help/matlab/release-notes.html#R2014a that it was introduced in R2014a.

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