Inverse Eigenvalue Problem for Constructing a Kind of Acyclic Matrices with Two Eigenpairs

Inverse Eigenvalue Problem for Constructing a Kind of Acyclic Matrices with Two Eigenpairs

We investigate an inverse eigenvalue problem for constructing a special kind of acyclic matrices. The problem involves the reconstruction of the matrices whose graph is an m -centipede. This is done by using the (2 m − 1)st and (2 m )th eigenpairs of their leading principal submatrices. To solve thi...

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Veröffentlicht in:Applications of Mathematics 2020-02, Vol.65 (1), p.89-103
Hauptverfasser: Babaei Zarch, Maryam, Shahzadeh Fazeli, Seyed Abolfazl, Karbassi, Seyed Mehdi
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Classical and Continuum Physics
Eigenvalues
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Optimization
Theoretical
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Zusammenfassung:We investigate an inverse eigenvalue problem for constructing a special kind of acyclic matrices. The problem involves the reconstruction of the matrices whose graph is an m -centipede. This is done by using the (2 m − 1)st and (2 m )th eigenpairs of their leading principal submatrices. To solve this problem, the recurrence relations between leading principal submatrices are used.
ISSN:0862-7940
1572-9109
DOI:10.21136/AM.2020.0103-19