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

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  • Yong Lin
  • Qing-Wen Wang

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.

Suggested Citation

  • Yong Lin & Qing-Wen Wang, 2013. "Completing a Block Matrix of Real Quaternions with a Partial Specified Inverse," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-5, April.
    • Handle: RePEc:hin:jnljam:271978
    DOI: 10.1155/2013/271978
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