Inverse eigenvalue problem for Euclidean distance matrices

Peter Škvorc (2015) Inverse eigenvalue problem for Euclidean distance matrices. EngD thesis.

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Abstract

The objective of the thesis is to present various results of an inverse eigenvalue problem for Euclidean distance matrices. The first part describes the construction of a non-negative symmetrical matrix with zeros on the diagonal with given eigenvalues, one of which is positive and the sum of which equals zero. This is of help when solving the inverse eigenvalue problem of Euclidean distance matrices. The second part of the thesis focuses on the inverse eigenvalue problem of 3x3 Euclidean distance matrices. Lastly, the connection between Hadamard matrices and the inverse eigenvalue problem for Euclidean distance matrices, is explained.

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