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J. Wu, “On Open Problems of Nonnegative Inverse Eigenvalues Problem,” Advances in Pure Mathematics, Vol. 1, No. 4, 2011, pp. 128-132. doi:10.4236/apm.2011.14025

has been cited by the following article:

• TITLE: Solvability of Inverse Eigenvalue Problem for Dense Singular Symmetric Matrices

  AUTHORS: Anthony Y. Aidoo, Kwasi Baah Gyamfi, Joseph Ackora-Prah, Francis T. Oduro

  KEYWORDS: Inverse Eigenvalue Problem; Dense; Nonnegative; Singular; Symmetric

  JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.1, January 16, 2013

  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.