Generalized Inverse Spectrum Problems for Two Kinds of Nonsymmetric Doubly Arrow Matrix
The generalized inverse spectral problem of two types of nonsymmetric double-arrow matrices was studied in this paper.Firstly,two sets of eigenpairs of two types of matrices were used as their eigendata.Secondly,the inverse spectral problem of two types of matrices was converted into a problem of solving a system of linear equations by using the functional relationship between matrix elements,linear relationship and the related properties of arrow matrices,and then the reconstruction of two types of matrices was realized.Finally,the sufficient and necessary conditions for the problem to have a unique solution and the algorithm for the problem construction were given,and the results were verified by the corresponding numerical examples.
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