采用重心有理插值近似未知函数，得到未知函数的各阶微分矩阵。
The differentiation matrices of unknown function are constructed by using barycentric rational interpolation.
交换环上矩阵代数的可解子代数和幂零子代数的自同构分解问题是一类重要的具有理论意义的研究课题。
It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.
讨论相似矩阵的一些标准型，给出一般域F上矩阵的一种有理标准形式，提供它变到若尔当标准型的相似变换。
This paper discusses some canonical forms of similar matrices in a general field F, gives a kind of rational forms in the field and a similar transformation from it to Jordan form.
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