Solvability of Inverse Eigenvalue Problem for Dense Singular Symmetric Matrices ()
Anthony Y. Aidoo,
Kwasi Baah Gyamfi,
Joseph Ackora-Prah,
Francis T. Oduro
Department of Mathematics and Computer Science, Eastern Connecticut State University, Willimantic, USA.
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.
DOI: 10.4236/apm.2013.31003
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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 n≤5 and r≤4 to illustrate the result.
Share and Cite:
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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