Minimum-norm least-squares solutions of generalized Sylvester-type quaternion matrix equation with bi-Hermitian and skew bi-Hermitian constraints
AIMS Mathematics, cilt.11, sa.4, ss.9210-9227, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11 Sayı: 4
- Basım Tarihi: 2026
- Doi Numarası: 10.3934/math.2026380
- Dergi Adı: AIMS Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.9210-9227
- Anahtar Kelimeler: quaternion matrix equations, real matrix representation, minimum norm least-squares solutions, bi-Hermitian solutions, skew bi-Hermitian solutions
- Kırklareli Üniversitesi Adresli: Evet
Özet
This paper investigated minimum-norm least-squares solutions to the quaternion matrix equation KXL+ MYN = 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.