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AUTHOR(S):

Konstadinos H. Kiritsis

 

TITLE

On the Solution of Multiplicative Inverse Eigenvalue Problem over the Field of Real Numbers

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ABSTRACT

In this paper, the multiplicative inverse eigenvalue problem is studied. In particular, explicit necessary conditions have been established for the problem to have a solution over the field of real numbers.

 

KEYWORDS

Eigenvalues, inverse eigenvalue problems, matrix completion

 

REFERENCES

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[3] J. A. Dias da Silva, “On the multiplicative inverse eigenvalue problem”, Linear Algebra and its applications, vol.78, no.1, 1986, pp.133- 145.

[4] J.Rosenthal and X.Wang, “The multiplicative inverse eigenvalue problem over an algebraic closed field” , SIAM J. Matrix Anal. Appl., vol.23, no.2, 2002, pp.517-523.

[5] M.T.Chu,“Inverse eigenvalue problems”, SIAM Review, vol.40, no.1, pp. 1-39, 1998.

[6] M. T. Chu and G. H. Golub, Inverse eigenvalue problems Theory Algorithms and applications, Oxford University Press, New York, 2005.

[7] F.R.Gantmacher, Theory of matrices, Volume I, New York: Chelsea Publishing, 1960.

[8] H . K. Wimmer, “Existenzsate in der Theorie der Matrizen und lineare Kontroll- Theorie”, Monatshefe fur Mathematik, vol.78, no.1, 1974, pp.256- 263.

[9] I.Zaballa, “Matrices with prescribed rows and invariant factors, Linear Algebra and its applications”, vol.87, no.1, 1987, pp.113-146.

Cite this paper

Konstadinos H. Kiritsis. (2017) On the Solution of Multiplicative Inverse Eigenvalue Problem over the Field of Real Numbers. International Journal of Mathematical and Computational Methods, 2, 171-174

 

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