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Good point, while I don't need this clarification others might. I shouldn't have implied that they are the same for square matrices implicitly, hence my failed
by solinent 6y ago
Good point, while I don't need this clarification others might. I shouldn't have implied that they are the same for square matrices implicitly, hence my failed attempt at using "similar".
However, they're still an extension in the sense that singular values do correspond to (square of the) eigenvalues of the square matrix A A^T and A^T A.
- blt 6y agoYeah I guess "extension" is not a precisely defined word. I wanted to make sure other readers didn't interpret like "generalization", meaning that the original narrow concept is precisely a special case of the extension.
- solinent 6y agoYeah, I wouldn't have used extension for a math audience, probably just "related concept", or "application of". In the software context it usually means the opposite--something specific that makes use of some existing functionality.