標題: PRODUCTS OF UNIPOTENT MATRICES OF INDEX-2
作者: WANG, JH
WU, PY
交大名義發表
應用數學系
National Chiao Tung University
Department of Applied Mathematics
公開日期: 1-Apr-1991
摘要: We show that an n x n complex matrix T is the product of two unipotent matrices of index 2 if and only if T is similar to a matrix of the form D + D-1 + (I + N) + (- I + SIGMA-i(m) = 1 + J(i)), where 0 and +/- 1 are not eigenvalues of D, N is nilpotent, and each J(i) is a nilpotent Jordan block of even size. On the other hand, T is the product of finitely many unipotent matrices of index 2 if and only if det T = 1. In this case, the minimal number of required unipotents is 1 if n = 1, 3 if n = 2, and 4 if n greater-than-or-equal-to 3.
URI: http://dx.doi.org/10.1016/0024-3795(91)90329-U
http://hdl.handle.net/11536/3829
ISSN: 0024-3795
DOI: 10.1016/0024-3795(91)90329-U
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS
Volume: 149
Issue: 
起始頁: 111
結束頁: 123
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  1. A1991EZ78900009.pdf