Jordan基的结构

摘要

用构造性方法证明了以同一个特征向量为终端向量的Jordan链从始端向量到终端向量可以有不同的最大长度,并给出了Jordan基中Jordan链的某些性质,进一步完善了Jordan标准形过渡矩阵求法的补充条件.%We give a constructive proof to form the Jordan chains, which have distinct lengths from all initial vectors to a common eigenvector. We also give some properties of a chain in a Jordan basis. Furthermore, we perfect the complementary conditions to the algorithm for solving transition matrix of Jordan form.