CAJ | 학술논문

在设计电路和带阻尼弹簧质点系统等实际问题中，求解逆特征值问题是重要的方法。本文研究了如下的电路设计问题，已知电感矩阵M、电阻矩阵C、电容矩阵K的部分信息，寻找未知量的值，使电路系统具有预先给定的频率。我们将该问题转化成了双复特征值约束下的两类逆二次特征值问题，通过求解二次特征行列式方程组，给出了问题有解的存在性条件和解的表达式。文中给出了算法和数值算例，实验结果说明了所得结论的正确性。
재설계전로화대조니탄황질점계통등실제문제중，구해역특정치문제시중요적방법。본문연구료여하적전로설계문제，이지전감구진M、전조구진C、전용구진K적부분신식，심조미지량적치，사전로계통구유예선급정적빈솔。아문장해문제전화성료쌍복특정치약속하적량류역이차특정치문제，통과구해이차특정행렬식방정조，급출료문제유해적존재성조건화해적표체식。문중급출료산법화수치산례，실험결과설명료소득결론적정학성。
The inverse eigenvalue problem is an important method for designing the circuit or the mass-spring system. The paper considers the following circuit design problem: given some information of the inductance matrix M , resistance matrix C , and capacitance matrix K, determine the rest data such that the system has the prescribed frequency. We transform the problem into a quadratic inverse eigenvalue problem under double complex eigenvalues. The existence and the expression of the solution are derived by solving the quadratic character determinant equations. We present the algorithm and numerical examples, which show that the obtained result is correct.