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.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{10_21136_AM_2020_0103_19,
     author = {Babaei Zarch, Maryam and Shahzadeh Fazeli, Seyed Abolfazl and Karbassi, Seyed Mehdi},
     title = {Inverse eigenvalue problem for constructing a kind of acyclic matrices with two eigenpairs},
     journal = {Applications of Mathematics},
     pages = {89--103},
     publisher = {mathdoc},
     volume = {65},
     number = {1},
     year = {2020},
     doi = {10.21136/AM.2020.0103-19},
     mrnumber = {4064591},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0103-19/}
}
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
SP  - 89
EP  - 103
VL  - 65
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0103-19/
DO  - 10.21136/AM.2020.0103-19
LA  - en
ID  - 10_21136_AM_2020_0103_19
ER  - 
%0 Journal Article
%A Babaei Zarch, Maryam
%A Shahzadeh Fazeli, Seyed Abolfazl
%A Karbassi, Seyed Mehdi
%T Inverse eigenvalue problem for constructing a kind of acyclic matrices with two eigenpairs
%J Applications of Mathematics
%D 2020
%P 89-103
%V 65
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0103-19/
%R 10.21136/AM.2020.0103-19
%G en
%F 10_21136_AM_2020_0103_19
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. http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0103-19/

Cité par Sources :