Upper and Lower Bounds for Ranks of the Matrix Expression X - XAX

被引:0
作者
Xiong, Zhiping [1 ]
机构
[1] Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Peoples R China
关键词
D O I
10.1155/2013/267035
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the question of how to take X such that the nonlinear matrix expression X - XAX attains its maximal and minimal possible ranks.
引用
收藏
页数:6
相关论文
共 22 条
[1]  
Ben-Iserael A., 1974, GEN INVERSES THEOREY
[2]  
Ben-Iserael A., 1974, GEN INVERSES THEOREY
[3]   The equations ATX±XTA=B [J].
Braden, HW .
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1998, 20 (02) :295-302
[4]  
Cohen N., 1989, GOHBERG ANNIVERSARY, P165
[5]  
David CL, 1994, LINEAR ALGEBRA ITS A
[6]  
Davis C., 1988, OPER THEORY ADV APPL, V29, P87
[7]   On the solution of equality constrained quadratic programming problems arising in optimization [J].
Gould, NIM ;
Hribar, ME ;
Nocedal, J .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2001, 23 (04) :1375-1394
[8]   Nonnegative-definite and positive-definite solutions to the matrix equation AXA*=B-revisited [J].
Gross, J .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 321 (1-3) :123-129
[9]  
Johnson C.R., 1990, Matrix Theory Appl, V40, P171
[10]  
JOHNSON CR, 1991, LINEAR MULTILINEAR A, V28, P271, DOI DOI 10.1080/03081089108818051