二次模型修正中西尔维斯特方程的解

Solution to Sylvester Equation in Quadratic Model Updating

针对二次模型修正问题中常出现的西尔维斯特方程,提出了一种列向量求解西尔维斯特方程的方法.在提出问题并给出一个重要引理之后,证明了问题的可解性,然后采用克罗内克积算法,将参数矩阵列向量化,最终求得参数矩阵的解.

Based on Sylvester equation which often arises in quadratic model updating problem, a column vector method for Sylvester equation was proposed. After giving a question and an important lemma, the solvability of the problem was proved. By using kronecker product algorithm and column to quantify of parameter matrix, solution to parameter matrix was obtained.