Spectral decompositions and feasible directions in the axial three-index assigment problem
Küçük Resim Yok
Tarih
2000
Yazarlar
Y. Çeven
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we give some results on the spectral decomposition and generalized inverse of the matrix A which is the coefficient matrix of the axial three-index assignment problem and investigate relations between eigenvalues and eigenvectors of the matrices $AA^T$ and $I-A^+A$ where $A^T$ is the transpoze and A+ is the generalized inverse of A. It has been shown that the feasible directions of the axial three-index assignment problem can be investigated in terms of the eigenvectors of the matrix $AA^T$ .
In this paper, we give some results on the spectral decomposition and generalized inverse of the matrix A which is the coefficient matrix of the axial three-index assignment problem and investigate relations between eigenvalues and eigenvectors of the matrices $AA^T$ and $I-A^+A$ where $A^T$ is the transpoze and A+ is the generalized inverse of A. It has been shown that the feasible directions of the axial three-index assignment problem can be investigated in terms of the eigenvectors of the matrix $AA^T$ .
In this paper, we give some results on the spectral decomposition and generalized inverse of the matrix A which is the coefficient matrix of the axial three-index assignment problem and investigate relations between eigenvalues and eigenvectors of the matrices $AA^T$ and $I-A^+A$ where $A^T$ is the transpoze and A+ is the generalized inverse of A. It has been shown that the feasible directions of the axial three-index assignment problem can be investigated in terms of the eigenvectors of the matrix $AA^T$ .
Açıklama
Anahtar Kelimeler
İstatistik ve Olasılık, Matematik
Kaynak
Communications Series A1: Mathematics and Statistics
WoS Q Değeri
Scopus Q Değeri
Cilt
49
Sayı
1-2
