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

Yong Lin and Qing-Wen Wang

Journal of Applied Mathematics, 2013, vol. 2013, 1-5

Abstract:

This paper considers a completion problem of a nonsingular block matrix over the real quaternion algebra : Let be nonnegative integers, , and be given. We determine necessary and sufficient conditions so that there exists a variant block entry matrix such that is nonsingular, and is the upper left block of a partitioning of . The general expression for is also obtained. Finally, a numerical example is presented to verify the theoretical findings.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:271978

DOI: 10.1155/2013/271978

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