On the solutions of the quaternion interval systems [x]=[A] [x]+ [b]
Yükleniyor...
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science INC
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
It is known that linear matrix equations have been one of the main topics in matrix theory and its applications. The primary work in the investigation of a matrix equation (system) is to give solvability conditions and general solutions to the equation(s). In the present paper, for the quaternion interval system of the equations defined by [x] = [A][x] + [b], where [A] is a quaternion interval matrix and [b] and [x] are quaternion interval vectors, we derive a necessary and sufficient criterion for the existence of solutions [x]. Thus, we reduce the existence of a solution of this system in quaternion interval arithmetic to the existence of a solution of a system in real interval arithmetic. (C) 2014 Elsevier Inc. All rights reserved.
Açıklama
WOS:000342265700032
Anahtar Kelimeler
Intervals, Quaternions, The Systems Of Equations
Kaynak
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
244
Sayı
Künye
Bolat, C., İpek, A. (2014). On the solutions of the quaternion interval systems [x]=[A] [x]+ [b]. Applied Mathematics and Computation, Volume 244, 1 October 2014, Pages 375-381.
