Theoretical Mathematics & Applications

Inverse Eigenvalue Problem for a class of Singular Hermitian Matrices

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•                                                    Abstract
  
  In this paper, we discuss inverse eigenvalue problems for singular Hermitian matrices. In particular, we investigate how to construct n£n singular Hermitian matrices of rank 2 and 3 from a given prescribed spectral data. It is found that given the spectrum and the multipliers k_i where i = 1,2,3,...,n-r, the inverse eigenvalue problem for n x n singular Hermitian matrices of rank r  is solvable. Numerical examples are presented in each case.