## Pitfalls and guidelines for the numerical evaluation of moderate-order system frequency responseHarold P. Frisch, Goddard Space Flight Center, United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1981 - Mathematics - 29 pages |

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application associated with equation block diagram companion matrix complex plane determinantal equation digits double precision eigenanalysis eigensystem EISPACK engineering judgment exact solution factored polynomial form frequency domain ill-conditioned computing problem input large order large-order systems low-order matrix exponential matrix inversion matrix of polynomials method of Leverrier method Reference mo mo mo moderate to large moderate-order systems NASA nn nn Non-Oscillatory System numerator polynomial numerical error analysis numerical evaluation numerical methods numerical problems ojoj ojoj oo oo order state variable oscillatory systems partial fraction expansion Pitfalls and Guidelines polynomials in power poorly-conditioned power series form present results associated primary data quasi-upper triangular QZ-algorithm QZ-method rational functions Reference 14 Reference 27 rg rg rgrg root-finding algorithm round-off error simulation models stable algorithm subroutine system definition data system order increases well-conditioned system Wilkinson zeros