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GCF extraction from multivariable polynomials using indirect Padé approximation

GCF extraction from multivariable polynomials using indirect Padé approximation

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The greatest common factor (GCF) is extracted from multi-variable polynomials using an ‘indirect’ method for computing generalised Padé-type approximations of multivariable rational functions. The algorithm is computationally easy and conceptually very simple. An example is given to illustrate the method.

References

    1. 1)
      • Y. Shamash , M. Messiter . GCF extraction from multivariable polynomials using generalised Padé approximations. Electron. Lett. , 59 - 61
    2. 2)
      • Messiter, M.: `Generalized Padé approximation techniques and multidimensional systems', 1983, M.S. thesis, Florida Atlantic University, Boca Raton, Florida.
    3. 3)
      • Paraskevopoulos . Padé-type order reduction of two-dimensional systems. IEEE Trans. , 413 - 416
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