Completing a 2×2 Block Matrix of Real Quaternions with a Partial Specified Inverse

This paper considers a completion problem of a nonsingular 2×2 block matrix over the real quaternion algebra ℍ: Let m1,  m2,  n1,  n2 be nonnegative integers, m1+m2=n1+n2=n>0, and A12∈ℍm1×n2, A21∈ℍm2×n1, A22∈ℍm2×n2, B11∈ℍn1×m1 be given. We determine necessary and sufficient conditions so that the...

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Bibliographic Details
Main Authors: Yong Lin, Qing-Wen Wang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/271978
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