An approach to determine the stable interval of the constant term of a characteristic equation |
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| Authors: | Wong Chia-ho |
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| Affiliation: | Zhejiang University, Hangzhou |
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| Abstract: | ![]()
In this paper, an approach is introduced to determine the stable interval of the constant term of a characteristic equation by using the theory of extended graphical representation of polynomials. Because the constant an itself is not taken into account and because this method is to get a stable interval of an, not merely to make a stability test for a set of known coefficients, this method of stability criteria has some advantages over the others. The interval of an can be obtained from the calculation of some algebraical expressions when n 10, where n is the degree of the characteristic equation. It is very convenient to calculate for the cases n=5 and n=6. When n 11, this interval can be found only by the method of numerical solutions. |
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| Keywords: | splitting modulus variational principle method of splitting modulus finite elements anisotropic ill-conditioned problems |
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