Inverse completion for partial matrices
Received date: 2015-11-04
Online published: 2017-01-13
赵琳琳 , 张立华 , 闫立梅 . 部分矩阵逆的填充[J]. 华东师范大学学报(自然科学版), 2016 , 2016(6) : 88 -93 . DOI: 10.3969/j.issn.1000-5641.2016.06.009
Two kinds of inverse completion problems for partial matrices were studied by using the rank theory and the Moore-Penrose generalized inverse. Necessary and sufficient conditions for these problems to have a solution were determined and their complete solutions were presented.
Key words: matrix completion; block matrix; range; kernel
[ 1 ] BRUALDI R A, HUANG Z J, ZHAN X Z. Singular, nonsingular and bounded rank completions of ACI-matrices[J]. Linear Algebra and Applications, 2010, 433: 1452-1462.
[ 2 ] FIEDLER M, MARKHAM T L. Completing a matrix when certain entries of its inverse are specified[J]. Linear Algebra and Applications, 1986, 74: 225-237.
[ 3 ] DAI H. Completing a symmetric 2 × 2 block matrix and its inverse[J]. Linear Algebra and Applications, 1996, 235: 235-245.
[ 4 ] BARRETT W W, LUNDQUIST M E, JOHNSON C R, et al. Completing a block diagonal matrix with a partially prescribed inverse[J]. Linear Algebra and Applications, 1995, 223/224: 73-87.
/
〈 |
|
〉 |