Respected readers, authors and reviewers, you can add comments to this page on any questions about the contribution, review, editing and publication of this journal. We will give you an answer as soon as possible. Thank you for your support!
ZHAO Lin-lin, ZHANG Li-hua, YAN Li-mei. Inverse completion for partial matrices[J]. Journal of East China Normal University (Natural Sciences), 2016, (6): 88-93. doi: 10.3969/j.issn.1000-5641.2016.06.009
Citation:
ZHAO Lin-lin, ZHANG Li-hua, YAN Li-mei. Inverse completion for partial matrices[J]. Journal of East China Normal University (Natural Sciences), 2016, (6): 88-93. doi: 10.3969/j.issn.1000-5641.2016.06.009
ZHAO Lin-lin, ZHANG Li-hua, YAN Li-mei. Inverse completion for partial matrices[J]. Journal of East China Normal University (Natural Sciences), 2016, (6): 88-93. doi: 10.3969/j.issn.1000-5641.2016.06.009
Citation:
ZHAO Lin-lin, ZHANG Li-hua, YAN Li-mei. Inverse completion for partial matrices[J]. Journal of East China Normal University (Natural Sciences), 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.
[ 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.
DownLoad: