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Finding Matrices that Satisfy Functional Equations

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We discuss a method for constructing solutions of analytic functional equations in matrix functions. The approach combines elements of calculus and linear algebra: Taylor series and nilpotent matrices. As an example, we obtain a nonconstant matrix function solving the functional equation $N(2x)-(N(x))8=0$.

Document Type: Short Communication

DOI: http://dx.doi.org/10.4169/193113409X458769

Publication date: September 1, 2009

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