Solubility Existence of Inverse Eigenvalue Problem for a Class of Singular Hermitian Matrices

Solubility Existence of Inverse Eigenvalue Problem

for a Class of Singular Hermitian Matrices

Emmanuel Akweittey; Kwasi Baah Gyamfi; Gabriel Obed Fosu

【期刊名称】《数学和系统科学：英文版》 【年(卷),期】2024(009)005

【摘要】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. 【总页数】5页(P.119-123)

【关键词】Singular hermitian matrices; inverse eigenvalue problem; rank of a matrix.

【作者】Emmanuel Akweittey; Kwasi Baah Gyamfi; Gabriel Obed Fosu 【作者单位】Mathematics Department Presbyterian University College PO Box 59 Abetifi-Kwahu Ghana; Mathematics Department Kwame Nkrumah University of Science and Technology Adum-Kumasi Ghana 【正文语种】中文 【中图分类】O17