Least squares X =± X η * solutions to split quaternion matrix equation A X A η * = B-Reference-Cited by-同舟云学术

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Least squares X =± X η * solutions to split quaternion matrix equation A X A η * = B

Published:2019-11-19 Issue:5 Volume:43 Page:2189-2201
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Meth Appl Sci

Author:

Liu Xin¹^ORCID,Zhang Yang²

Affiliation:

1. Faculty of Information TechnologyMacau University of Science and Technology Taipa, Macau China

2. Department of MathematicsUniversity of Manitoba Winnipeg Manitoba Canada

Funder

National Outstanding Youth Science Fund Project of National Natural Science Foundation of China

National Natural Science Foundation of China

Natural Sciences and Engineering Research Council of Canada

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.6033

Reference26 articles.

1. An Iterative algorithm for $\eta$-(anti)-Hermitian least-squares solutions of quaternion matrix equations

2. Positive and real-positive solutions to the equationaxa*=cinC*-algebras

3. Re-nnd SOLUTIONS OF THE MATRIX EQUATION AXB=C

4. On Eigenvalues of Split Quaternion Matrices

5. Two-sided linear split quaternionic equations withnunknowns

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1. A new structure-preserving algorithm based on the semi-tensor product of matrices for split quaternion matrix LDU decomposition and its applications;Journal of Computational and Applied Mathematics;2024-12

2. Algebraic algorithms for a class of Schrödinger equations in split quaternionic mechanics;Mathematical Methods in the Applied Sciences;2024-01-29

3. On singular value decomposition for split quaternion matrices and applications in split quaternionic mechanics;Journal of Computational and Applied Mathematics;2024-01

4. An efficient method for the split quaternion equality constrained least squares problem in split quaternionic mechanics;Computational and Applied Mathematics;2023-07-21

5. The $$\eta $$-(anti-)Hermitian solution to a constrained Sylvester-type generalized commutative quaternion matrix equation;Banach Journal of Mathematical Analysis;2023-04-24

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