为保证该算法的稳定性，提出并证明了该算法的收敛定理。

To ensure stability of the NNA, the convergence theorem of the NNA is presented and proved.

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文中对初始试探值的选择以及逼近程序收敛性的保证作了较全面的论述，并以扁矩形消声管道为实例检验了系统逼近程序的可靠性。

For given parameter a, the improved approach of the eigenvalue can be determined from the foregoing approaches with the aid of interpolation polynomial.

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