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My apologies if this isn't a well-enough-posed question, I think I'm partly unsure of what exact question to even ask. There are many different ways in which we can take a function of a matrix. We ...

It is well-known that Chebyshev polynomials are the polynomials of minimal $L_\infty$ norm on [-1,1] with leading coefficient 1. But what if you want the minimal $L_\infty$ polynomial on two disjoint ...