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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License
Solubility Existence of Inverse Eigenvalue Problem for a Class of Singular Hermitian Matrices
Emmanuel Akweittey1, Kwasi Baah Gyamfi2 and Gabriel Obed Fosu1
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DOI:10.17265/2159-5291/2019.05.001
1. Mathematics Department, Presbyterian University College, PO Box 59, Abetifi-Kwahu, Ghana 2. Mathematics Department, Kwame Nkrumah University of Science and Technology, Adum-Kumasi, Ghana
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.
Singular hermitian matrices, inverse eigenvalue problem, rank of a matrix.
Akweittey E., Gyamfi K. B., and Fosu, G. O. 2019. “Solubility Existence of Inverse Eigenvalue Problem for a Class of Singular Hermitian Matrices” Journal of Mathematics and System Science 9: 119-23.
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