Journal of Shanghai University(Natural Science Edition) ›› 2017, Vol. 23 ›› Issue (2): 267-275.doi: 10.3969/j.issn.1007-2861.2015.02.012

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Common least-squares solution to some matrix equations

  

  • Received:2015-05-12 Online:2017-04-30 Published:2017-04-30

Abstract:

Necessary and sufficient conditions are derived for some matrix equations that have a common least-squares solution. A general expression is provided when certain resolvable conditions are satisfied. This research extends existing work in the literature.

Key words: explicit solution, least-squares solution , Moore-Penrose inverse, rank

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