Title of article :
Inverse eigenvalues problem of distance matrices via unit lower triangular matrices
Author/Authors :
Nazari ، Alimohammad Department of Mathematics - Arak University , Nezami ، Atiyeh Department of Mathematics - Arak University , Bayat ، Mohsen Department of Mathematics - Arak University
Abstract :
In this paper, for a given set of real numbers such as σ with only one positive number and zero summation, we find a distance matrix in which the given set σ is its spectrum. Finally, we solve special cases of the inverse eigenvalue problem in which the matrix solution is a regular spherical distance matrix.
Keywords :
Nonnegative matrices , Unit triangular matrices , Inverse eigenvalue problem , Distance matrices
Journal title :
Wavelets and Linear Algebra
Journal title :
Wavelets and Linear Algebra
