论文标题
特殊矩阵的力量和倒置的封闭形式
Closed forms for powers and inverses of special matrices
论文作者
论文摘要
这项贡献是由有关矩阵幂及其在组合序列上的应用的旧作品和最近的作品所激发的。我们在本文中给出了特殊上三角矩阵的$ s $ th powers和倒置，以及特殊非三角矩阵的$ s $ th powers。使用的工具是Lagrange倒置公式和部分钟形多项式。
This contribution is motivated by old and recent works on matrix powers and their applications on combinatorial sequences. We give in this paper the $s$-th powers and the inverses for special upper triangular matrices and the $s$-th powers for special non-triangular matrices. The used tools are Lagrange inversion formula and the partial Bell polynomials.
