A new canonical form of square matrices

摘要：

　　In this paper we give a new canonical form of square matrices over arbitrary number field.We also give several applications.SOME FAMOUS CANONICAL FORM A.Frobenius canonical form Suppose IF is arbitrary number field, A∈ Fnxn , In is the identity matrix of order n.λIn-A has invariant factors group d1(λ), d2(λ),..., d11(λ).A-B (<=>) λI11-A, λI11-B have the same invariant factors group.

关键词： invariant factor elementary factor canonical form invariant subspace

作者: Daijun Tian

作者单位: Department of Mathematics,Tianjin University,Tianjin,300072,China

会议类型: 国际会议

会议名称: 2013 International Conference on Education Technology and Information Systems(ICETIS2013)2013教育技术与信息系统国际会议

会议地点: 三亚

会议语种:英文

页码: 358-361

在线出版日期: 2013-06-21（万方平台首次上网日期，不代表论文的发表时间）