Symmetric Pair Decomposition 1

Posted by Cleve Moler,

An esoteric fact about matrices is that any real matrix can be written as the product of two symmetric matrices. I've known about this fact for years, but never seriously explored the computational aspects. So I'm using this post to clarify my own understanding of what I'll call the symmetric pair decomposition. It turns out that there are open questions. I don't think we know how to reliably compute the factors. But I also have to admit that, even if we could compute them, I don't know of any practical use.... read more >>

Exponential Growth 2

Posted by Cleve Moler,

What, exactly, is exponential growth? What is e and what does it have to do with exponential growth? A simple MATLAB interactive graphic introduces these concepts. ... read more >>

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