Determinantal representations of the Moore–Penrose inverse over the quaternion skew field and corresponding Cramer's rules
By Ivan Kyrchei. 2010
81 citations recorded by the source corpus.
Determinantal representation of the Moore–Penrose inverse over the quaternion skew field is obtained within the framework of a theory of the column and row determinants. Using the obtained analogues of the adjoint matrix, we get the Cramer rules for the least squares solution of left and right systems of quaternionic linear equations.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/54bd380ea24b8780f0fdf45e655428efc4ae944d
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In Applied Mathematics
In Computational Theory and Mathematics
In Geometry and Topology
Citations in the corpus
- Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations (2012, methodology): “In [25] the determinantal representations of the Moore-Penrose inverse over the quaternion skew field was derived based on the limit representation.”