- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 49
- Spectral decompositions and feasible directions in the axial three-index assigment problem
Spectral decompositions and feasible directions in the axial three-index assigment problem
Authors : Y. Çeven
Pages : 0-0
Doi:10.1501/Commua1_0000000387
View : 5 | Download : 3
Publication Date : 2000-01-01
Article Type : Research
Abstract :In this paper, we give some results on the spectral deconposition and generalized inverse of the matrİK A whidı is the coeffident maJrix of the axial three-index assignment problem and investigate relations between eigenvalues and eigenvectors of the matrices and I-A' A where A’^ 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 ofthe eigenvectors oft he matrix AA7Keywords : Spectral decompositions, feasible directions, axial three-index