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Relations between least-squares and least-rank solutions of the matrix equation

โœ Scribed by Tian, Yongge; Wang, Hongxing


Book ID
122565352
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
248 KB
Volume
219
Category
Article
ISSN
0096-3003

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Ranks of least squares solutions of the
โœ Yong Hui Liu ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 224 KB

For a complex matrix equation AX B = C, we solve the following two problems: (1) the maximal and minimal ranks of least square solution X to AX B = C, and (2) the maximal and minimal ranks of two real matrices X 0 and X 1 in least square solution X = X 0 + iX 1 to AX B = C. We also give a necessary