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A multi-step factorization scheme for a specific class of \(m-D\) polynomials. (English) Zbl 0947.93023

The author considers a multivariable polynomial factorization of the form of \[ f(z_1,\dots, z_m)= [a(z_1,\dots, z_k)+ b(z_{k+1},\dots, z_m)]\times [c(z_1,\dots, z_k)+ d(z_{k+1}, \dots, z_m)]. \] Unfortunately, he does not discuss its possible applications. He proposes an algorithm for performing such a factorization.

MSC:

93C35 Multivariable systems, multidimensional control systems
12D05 Polynomials in real and complex fields: factorization
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