Two special kinds of least squares solutions for the quaternion matrix equation AXB+CXD=E

By Shifang Yuan, Qing-Wen Wang. 2012

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By using the complex representation of quaternion matrices, the Moore-Penrose generalized inverse and the Kronecker product of matrices, the expressions of the least squares �-Hermitian solution with the least norm and the expressions of the least squares �-anti-Hermitian solution with the least norm are derived for the matrix equation AXB+CXD = E over quaternions.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/ab88d1790323f84a28f1c076058d441a12ee15a1