On the number of unitary similarity classes in a C-S equivalence class: the normal case
- 作者：Furtado ; Susana ; Johnson ; Charles R.
- 关键词：Congruence ; Similarity ; Unitary similarity ; C-S equivalence ; Normal matrix
- 刊名：Linear Algebra and its Applications
- 出版年：2002
- 期刊代码：38_00243795
- 类别：mt
- 出版时间：June 15, 2002
- 卷：348
- 期：1-3
- 页码：193-202
- 文件大小：99.6 K
摘要
A matrix B
Mn is C-S equivalent to AMn if B is both congruent and similar to A. We study the question of how many unitary similarity classes lie in the C-S equivalence class of a given matrix A. The case of singular A is reduced to the nonsingular case in general, and we give a complete solution to the problem in case A is normal. Differences between the normal and general cases are noted.
Mn is C-S equivalent to AMn if B is both congruent and similar to A. We study the question of how many unitary similarity classes lie in the C-S equivalence class of a given matrix A. The case of singular A is reduced to the nonsingular case in general, and we give a complete solution to the problem in case A is normal. Differences between the normal and general cases are noted.