Geodesic
Inverse eigenvalue problem for constructing a kind of acyclic matrices with two eigenpairs
Applications of Mathematics, Tome 65 (2020) no. 1, pp. 89-103

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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 $(2m-1)$st and $(2m)$th eigenpairs of their leading principal submatrices. To solve this problem, the recurrence relations between leading principal submatrices are used.
DOI : 10.21136/AM.2020.0103-19
Classification : 05C50, 65F18
Keywords: inverse eigenvalue problem; leading principal submatrices; graph of a matrix; eigenpair 
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Babaei Zarch, Maryam; Shahzadeh Fazeli, Seyed Abolfazl; Karbassi, Seyed Mehdi. Inverse eigenvalue problem for constructing a kind of acyclic matrices with two eigenpairs. Applications of Mathematics, Tome 65 (2020) no. 1, pp. 89-103. doi: 10.21136/AM.2020.0103-19

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