k次幂等变换与k次幂等矩阵

On k degree idempotent transformation and k degree idempotent matrix

目的把幂等变换与对合变换,幂等矩阵与对合矩阵统一起来并加以推广。方法以k-余变换与k-余矩阵为工具,并采用对比分析的方法。结果/结论引入了k次幂等变换和k次幂等矩阵的定义,给出了它们的性质和等价条件。

Aim To integrat and generalize idempotent transformation and convolution transfor mation or idempotent matrix and convolution matrix. Methods k -complementary transformation and k-eomplementary matrix are used as tools by contrast method. Results and Conclusion k degree idempotent transformation and k degree idempotent matrix are introduced, their properties and equivalence condition are given.