@article{Şimşek2026, 
author = {Sinem Şimşek and Tuğba Demirkol and Yıldız Kulaç and Halim Özdemir},
title = {Minimum-norm least-squares solutions of generalized Sylvester-type quaternion matrix equation with bi-Hermitian and skew bi-Hermitian constraints},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {4},
pages = {9210-9227},
keywords = {quaternion matrix equations, real matrix representation, minimum norm least-squares solutions, bi-Hermitian solutions, skew bi-Hermitian solutions},
url = {https://www.sciopen.com/article/10.3934/math.2026380},
doi = {10.3934/math.2026380},
abstract = {This paper investigated minimum-norm least-squares solutions to the quaternion matrix equation    K  X  L  +  M  Y  N  =  O, where the unknown matrices    X and    Y were subject to bi-Hermitian or skew bi-Hermitian constraints. Building on the derived theoretical results, an explicit numerical algorithm was proposed. Moreover, several numerical examples were presented to validate the accuracy of these results.}
}