Abstract
In this paper, by making use of the CCD-Q, GSVD-Q, and the projection theorem in the finite dimensional inner product space, we derive the expression of Hermitian solution for the matrix nearness problem associated with the quaternion matrix equation AXA H+BYB H=C.
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This work is supported by Hunan Provincial Natural Science Fund of China (No. 09JJ6012) and Program for Guangdong Excellent Talents in University, Guangdong Education Ministry, China (LYM08097).
An erratum to this article can be found at http://dx.doi.org/10.1007/s12190-010-0462-z
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Yuan, S., Liao, A. & Yao, G. The matrix nearness problem associated with the quaternion matrix equation AXA H+BYB H=C . J. Appl. Math. Comput. 37, 133–144 (2011). https://doi.org/10.1007/s12190-010-0425-4
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DOI: https://doi.org/10.1007/s12190-010-0425-4