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

• 作者: Emmanuel Akweittey Gabriel Obed Fosu Kwasi Baah Gyamfi
• 来源期刊: 数学和系统科学:英文版
• 学科: 数学
• 关键词: SINGULAR HERMITIAN MATRICES inverse EIGENVALUE problem RANK of a matrix.
• 年，卷（期）: 2019,（5）
• 页码范围: 119-123
• 页数: 5页
• 分类号: O17

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.