Solvability of Inverse Eigenvalue Problem for Dense Singular Symmetric Matrices

Abstract

Given a list of real numbers ={λ1,, λn}, we determine the conditions under which will form the spectrum of a dense n × n singular symmetric matrix. Based on a solvability lemma, an algorithm to compute the elements of the matrix is derived for a given list and dependency parameters. Explicit computations are performed for n5 and r4 to illustrate the result.

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A. Aidoo, K. Gyamfi, J. Ackora-Prah and F. Oduro, "Solvability of Inverse Eigenvalue Problem for Dense Singular Symmetric Matrices," Advances in Pure Mathematics, Vol. 3 No. 1, 2013, pp. 14-19. doi: 10.4236/apm.2013.31003.

Conflicts of Interest

The authors declare no conflicts of interest.

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