Inverse Eigenvalue Problem for Generalized Arrow-Like Matrices
Zhibin Li, Cong Bu, Hui Wang
DOI: 10.4236/am.2011.212204   PDF    HTML     5,201 Downloads   8,428 Views   Citations

Abstract

This paper researches the following inverse eigenvalue problem for arrow-like matrices. Give two characteristic pairs, get a generalized arrow-like matrix, let the two characteristic pairs are the characteristic pairs of this generalized arrow-like matrix. The expression and an algorithm of the solution of the problem is given, and a numerical example is provided.

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Li, Z. , Bu, C. and Wang, H. (2011) Inverse Eigenvalue Problem for Generalized Arrow-Like Matrices. Applied Mathematics, 2, 1443-1445. doi: 10.4236/am.2011.212204.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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[2] H. Dai, “Inverse Eigenvalue Problem for Jacobi Matrices,” Computation Physics, Vol. 11, No. 4, 1994, pp. 451-456.
[3] C. H. Wu and L. Z. Lu, “Inverse Eigenvalue Problem for a Kind of Special Matrix,” Journal of Xiamen University (Natural Science), No. 1, 2009, pp. 22-26.
[4] Q. X. Yin, “Generalized Inverse Eigenvalue Problem for Arrow-Like Matrices,” Journal of Nan Jing University of Aeronautics & Astronautics, Vol. 34, No. 2, 2002, pp. 190-192.

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