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|Title: ||Solubility Existence of Inverse Eigenvalue Problem for a Class of Singular Hermitian Matrices|
|Authors: ||Akweittey, Emmanuel|
Gyamfi, Kwasi Baah
Fosu, Gabriel Obed
|Keywords: ||Singular hermitian matrices|
inverse eigenvalue problem
rank of a matrix
|Issue Date: ||2019|
|Publisher: ||Journal of Mathematics and System Science|
|Abstract: ||: 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.|
|Description: ||An article published by Journal of Mathematics and System Science and also available at doi: 10.17265/2159-5291/2019.05.001|
|Appears in Collections:||College of Science|
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