CAJ | 학술논문

矩阵的求逆是矩阵论中研究的重要问题，尤其是一些矩阵多项式的求逆问题。在求矩阵多项式的逆矩阵过程中，研究发现一些特殊矩阵多项式与其逆之间不仅有密切联系，而且有特殊的结构或形式。文中对两类矩阵多项式的逆矩阵求法进行了探讨，研究求逆的一些方法，得出两类矩阵多项式的求逆公式，并且对相关结论分别举例加以应用。使得这两类矩阵多项式求逆变得简单明了，相关问题也可以迎刃而解。对丰富矩阵多项式的求逆理论具有重要意义，对学习求逆知识也具有借鉴作用。
구진적구역시구진론중연구적중요문제，우기시일사구진다항식적구역문제。재구구진다항식적역구진과정중，연구발현일사특수구진다항식여기역지간불부유밀절련계，이차유특수적결구혹형식。문중대량류구진다항식적역구진구법진행료탐토，연구구역적일사방법，득출량류구진다항식적구역공식，병차대상관결론분별거례가이응용。사득저량류구진다항식구역변득간단명료，상관문제야가이영인이해。대봉부구진다항식적구역이론구유중요의의，대학습구역지식야구유차감작용。
The inverse calculation of matrix is an important problem in matrix theory, particularly the problem of the inversion of matrix polynomials. It is found that there are not only close ties but also special structures or forms between several kinds of special matrix and their inverse matrix. In the paper, inverse matrices solving methods of two classes of matrix polynomials are discussed to draw the formula of inverse matrices polynomials, and to put the results into real use. This study has certain important significance for solving relevant problems and the conclusion of it is also a good reference to further study of the inversion calculation of matrix polynomials.