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Exact and approximate multidimensional polynomial factorization. Application measurement processing. (English) Zbl 0827.93036
The authors refer to their earlier results on exact and approximate factorization of multivariable polynomials. As is clear, an arbitrary multivariable polynomial does not have to be factorable in the same sense as an one-variable polynomial. Then, the authors look for the best approximation, in terms of the minimum of the least square norm, of a given non-factorable polynomial by a factorable one. Finally, an application to measurement processing is sketched.

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