شماره ركورد كنفرانس :
4338
عنوان مقاله :
EDMS AND RUT(RLT)-MAJORIZATION ON R2
پديدآورندگان :
Mohammadhasani Ahmad ammadhasani53@gmail.com Department of Mathematics, Sirjan University of technology, Sirjan, Iran; , Ilkhanizadeh Manesh Asma a.ilkhani@vru.ac.ir Department of Mathematics, Vali-e-Asr
University of Rafsanjan, Rafsanjan, Iran;
كليدواژه :
Euclidean distance matrices , Rlt , majorization , Rut , majorization
عنوان كنفرانس :
سومين سمينار ملي نظريه عملگرها و كاربردهاي آن
چكيده فارسي :
Let D1 and D2 be two Euclidean distance matrices (EDMs) with corresponding positive semide_x000C_nite matrices B1 and B2 respectively. Suppose that _x0015_(A) = ((_x0015_(A))i)ni=1 is the vector of eigenvalues of a matrix A such that (_x0015_(A))1 _x0015_ : : : _x0015_ (_x0015_(A))n. In this work, the relation between the eigenvalues of EDMs and those of the corresponding positive semidefinite matrices respect to _x001E_rut and _x001E_rlt on R2 will be investigated.