Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775795 | Applied Mathematics and Computation | 2017 | 16 Pages |
Abstract
Weighted singular value decomposition (WSVD) and a representation of the weighted Moore-Penrose inverse of a quaternion matrix by WSVD have been derived. Using this representation, limit and determinantal representations of the weighted Moore-Penrose inverse of a quaternion matrix have been obtained within the framework of the theory of noncommutative column-row determinants. By using the obtained analogs of the adjoint matrix, we get the Cramer rules for the weighted Moore-Penrose solutions of left and right systems of quaternion linear equations.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ivan Kyrchei,