INVERSE EIGENVALUE PROBLEM FOR EUCLIDEAN DISTANCE MATRICES OF SIZE 3
Published online by Cambridge University Press: 15 October 2012
A matrix is a Euclidean distance matrix (EDM) if there exist points such that the matrix elements are squares of distances between the corresponding points. The inverse eigenvalue problem (IEP) is as follows: construct (or prove the existence of) a matrix with particular properties and a given spectrum. It is well known that the IEP for EDMs of size 3 has a solution. In this paper all solutions of the problem are given and their relation with geometry is studied. A possible extension to larger EDMs is tackled.
- Research Article
- Copyright © Australian Mathematical Publishing Association Inc. 2012
This research was funded in part by the European Union, European Social Fund, Operational Programme for Human Resources, Development for the Period 2007–2013.
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