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I want to know how to calculate the spectrum and inertia of sign pattern matrix, how to use Nilpotent-Jacobian method to solve the problem about determinating spectrally arbitrary and inertially arbitrary sign patterns ?

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A more specific question might be better, since a satisfactory answer to your question would require pages out of a textbook. – Ravi Aug 7 '12 at 6:29
The problem is about sign pattern matrix in combinatorial matrix theory. The knowledge is mainly used to solve spectrally arbitrary and inertially arbitrary sign pattern matrices. – zhuxingwen Aug 13 '12 at 12:44

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