首页> 中文期刊> 《数学和系统科学:英文版》 >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

         

摘要

cqvip: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.

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