Inverse eigenvalue problem for constructing a kind of acyclic matrices with two eigenpairs

Maryam Babaei Zarch; Seyed Abolfazl Shahzadeh Fazeli; Seyed Mehdi Karbassi

Applications of Mathematics (2020)

  • Issue: 1, page 89-103
  • ISSN: 0862-7940

Abstract

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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 ( 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.

How to cite

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Babaei Zarch, Maryam, Shahzadeh Fazeli, Seyed Abolfazl, and Karbassi, Seyed Mehdi. "Inverse eigenvalue problem for constructing a kind of acyclic matrices with two eigenpairs." Applications of Mathematics (2020): 89-103. <http://eudml.org/doc/295017>.

@article{BabaeiZarch2020,
abstract = {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.},
author = {Babaei Zarch, Maryam, Shahzadeh Fazeli, Seyed Abolfazl, Karbassi, Seyed Mehdi},
journal = {Applications of Mathematics},
keywords = {inverse eigenvalue problem; leading principal submatrices; graph of a matrix; eigenpair},
language = {eng},
number = {1},
pages = {89-103},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Inverse eigenvalue problem for constructing a kind of acyclic matrices with two eigenpairs},
url = {http://eudml.org/doc/295017},
year = {2020},
}

TY - JOUR
AU - Babaei Zarch, Maryam
AU - Shahzadeh Fazeli, Seyed Abolfazl
AU - Karbassi, Seyed Mehdi
TI - Inverse eigenvalue problem for constructing a kind of acyclic matrices with two eigenpairs
JO - Applications of Mathematics
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 1
SP - 89
EP - 103
AB - 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.
LA - eng
KW - inverse eigenvalue problem; leading principal submatrices; graph of a matrix; eigenpair
UR - http://eudml.org/doc/295017
ER -

References

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