Journal of East China Normal University(Natural Sc

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Inverse completion for partial matrices

ZHAO Lin-lin, ZHANG Li-hua, YAN Li-mei   

  1. College of Mathematical Sciences, Dezhou University, Dezhou Shandong 253023, China
  • Received:2015-11-04 Online:2016-11-25 Published:2017-01-13

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