摘要
设A,A*是薄的海森伯格对,则存在V的可裂基,使得A在这组基下的矩阵是下两对角矩阵,A*在这组基下的矩阵是上两对角矩阵.给出了在这组基下一些矩阵的关系式和A,A*的本原幂等元的表达式.最后,给出了可分序列的关系式.
In this paper we discuss thin Hessenberg pair A,A*. It is known that there exists a basis for V with respect to which the matrix representing A is lower bidiagonal and the matrix representing A* is upper bidiagonal. We give some formulae involving the matrix units associated with this basis. We also dis- play some related formulae involving the primitive idempotents of A and A* and some formulae for the split sequences.
出处
《河北师范大学学报(自然科学版)》
CAS
2015年第3期185-189,共5页
Journal of Hebei Normal University:Natural Science
基金
国家自然科学基金(11471097)
石家庄经济学院博士科研启动基金(BQ201517)
石家庄经济学院校内科研计划项目(ZR201106)