On the solution of a multiplicative inverse eigenvalue problem
DOI:
https://doi.org/10.22199/S07160917.1996.0002.00006Abstract
We show that the solution of a particular multiplicative inverse eigenvalue problem is the set of zeros of the characteristic polynomial associated with the problem. Necessary conditions for a real solution are found.
References
[1] Degui, Teng: Inverse eigenvalue problem for special matrices, Linear Algebra and Its Applications 139:63-65(1990).
[2] Hadeler, K. P.: Ein Inverses Eigenwertproblem,Linear Algebra and Its Applications 1:83-101(1968).
[3] Hardy G. H.,Littewood J. E., Pólya, G.: Inequalities, Cambridge University Press, 1991.
[4] F. Laborde, Sur un problème inverse d'un problème de valeurs propes, C. R. Aca. Sc. Paris 268, 153-156(1969).
[5] Li, Luoluo: Some Sufficient Conditions for the Solvability of Inverse Eigenvalue Problem, Linear Algebra and Its Applications 148:225-236(1991).
[6] Morel, P.: Sur le problème inverse des valeurs propes, Numerishe Mathematik 23, 83-94(1974).
[7] Rojo, O. and Soto, R.: New Conditions for the Additive Inverse Eigenvalue Problem for Matrices, Computers Math. Applic., Vol. 23, No. 11, pp. 41-46, 1992.
[2] Hadeler, K. P.: Ein Inverses Eigenwertproblem,Linear Algebra and Its Applications 1:83-101(1968).
[3] Hardy G. H.,Littewood J. E., Pólya, G.: Inequalities, Cambridge University Press, 1991.
[4] F. Laborde, Sur un problème inverse d'un problème de valeurs propes, C. R. Aca. Sc. Paris 268, 153-156(1969).
[5] Li, Luoluo: Some Sufficient Conditions for the Solvability of Inverse Eigenvalue Problem, Linear Algebra and Its Applications 148:225-236(1991).
[6] Morel, P.: Sur le problème inverse des valeurs propes, Numerishe Mathematik 23, 83-94(1974).
[7] Rojo, O. and Soto, R.: New Conditions for the Additive Inverse Eigenvalue Problem for Matrices, Computers Math. Applic., Vol. 23, No. 11, pp. 41-46, 1992.
Published
2018-04-04
How to Cite
[1]
O. L. Rojo and R. L. Soto, “On the solution of a multiplicative inverse eigenvalue problem”, Proyecciones (Antofagasta, On line), vol. 15, no. 2, pp. 179-186, Apr. 2018.
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