Solubility Existence of Inverse Eigenvalue Problem for a Class of Singular Hermitian Matrices
Emmanuel Akweittey, Kwasi Baah Gyamfi, Gabriel Obed Fosu · Journal of Mathematics and System Science · 2019
In this article, we discuss singular Hermitian matrices of rank greater or equal to four for an inverse eigenvalue problem.Specifically, we look into how to generate n by n singular Hermitian matrices of ranks four and five from a prescribed spectrum.Numerical examples are presented in each case to illustrate these scenarios.It was established that given a prescribed spectral datum and it multiplies, then the solubility of the inverse eigenvalue problem for n by n singular Hermitian matrices of rank r exists.