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Journal of Applied Mathematics and Computing

Erschienen in:

01.03.2013 | Applied mathematics

Bott-Duffin inverse over the quaternion skew field with applications

verfasst von: Guang-Jing Song

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2013

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Abstract

In this paper, we show some properties of the Bott-Duffin inverses \(A_{r_{ ( L_{1} ) }}^{ ( -1 ) }\) and \(A_{l_{ ( L_{2} ) }}^{ ( -1 ) }\) over the quaternion skew field. In particular, we establish the determinantal representations of these generalized inverses by the theory of the column and row determinants. Moreover, we derive some Cramer rules for the unique solution to some restricted linear quaternion equations. The findings of this paper extend some known results in the literature.

Vorheriger Artikel Anti-periodic fractional boundary value problems for nonlinear differential equations of fractional order

Nächster Artikel On discrete analytic functions: Products, rational functions and reproducing kernels

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Titel: Bott-Duffin inverse over the quaternion skew field with applications
verfasst von: Guang-Jing Song
Publikationsdatum: 01.03.2013
Verlag: Springer-Verlag
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2013
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-012-0614-4

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