MATRICES WITH PRESCRIBED EIGENVALUES AND BLOCKS

被引：0
|
作者：
Cravo, Gloria [1 ]
机构：
[1] Univ Madeira, Dept Matemat & Engn, P-9000390 Madeira, Portugal
来源：
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2006年 / 6卷 / 01期
关键词：
eigenvalues; matrix completion problems;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let F be a field and let n, p1, p2, p3 be positive integers such that n = p1 + p2 + p3. Let A = [ A(1,1) A(1,2) A(1,3) A(2,1) A(2,2) A(2,3) A(3,1) A(3,2) A(3,3) ] epsilon F-nxn, where the blocks A(i,) (j) epsilon F-pi (x pj) , i, j epsilon {1, 2, 3} and the blocks in the positions (i, j) are square. We study the possible eigenvalues of A, when A(1,2), A(1,3) and A(2,1) are fixed and the remaining blocks vary.
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页码：103 / 109
页数：7
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