Journal of East China Normal University(Natural Science) >

2016 , Vol. 2016 >Issue 6: 88 - 93

DOI: https://doi.org/10.3969/j.issn.1000-5641.2016.06.009

Inverse completion for partial matrices

  • ZHAO Lin-lin ,
  • ZHANG Li-hua ,
  • YAN Li-mei
Expand
  • College of Mathematical Sciences, Dezhou University, Dezhou Shandong 253023, China

Received date: 2015-11-04

  Online published: 2017-01-13

Fold

Abstract

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

Cite this article

ZHAO Lin-lin , ZHANG Li-hua , YAN Li-mei . Inverse completion for partial matrices[J]. Journal of East China Normal University(Natural Science), 2016 , 2016(6) : 88 -93 . DOI: 10.3969/j.issn.1000-5641.2016.06.009

References

[ 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.

Options
Outlines

/

〈 〉