Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore–Penrose inverse

Ivan Kyrchei

Applied Mathematics and Computation, 2017, vol. 309, issue C, 1-16

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.

Keywords: Weighted singular value decomposition; Weighted Moore–Penrose inverse; Quaternion matrix; Cramer rule; System linear equation; Noncommutative determinant (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300317302321
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:309:y:2017:i:c:p:1-16

DOI: 10.1016/j.amc.2017.03.048

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu (repec@elsevier.com).