Left and Right Inverse Eigenpairs Problem of Orthogonal Matrices

Fanliang Li^{*}

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References

[1] J. H. Wilkinson, “The Algebraic Eigenvalue Problem,” Oxford University Press, Oxford, 1965.

[2] M. Arav, D. Hershkowitz, V. Mehrmann, et al., “The Recursive Inverse Eigenvalue Problem,” SIAM Journal on Matrix Analysis and Applications, Vol. 22, No. 2, 2000, pp. 392-412.

[3] R. Loewy and V. Mehrmann, “A Note on the Symmetric Recursive Inverse Eigenvalue Problem,” SIAM Journal on Matrix Analysis and Applications, Vol. 25, No. 1, 2003, pp. 180-187.

[4] L. Zhang and D. X. Xie, “A Class of Inverse Eigenvalue Problems,” Acta Mathematica Scientia, Vol. 1, No. 13, 1993, pp. 94-99.

[5] F. L. Li, X. Y. Hu and L. Zhang, “Left and Right Eigenpairs Problem of Skew-Centrosymmetric Matrices,” Applied Mathematics and Computation, Vol. 177, No. 1, 2006, pp. 105-110.

[6] F. L. Li, X. Y. Hu and L. Zhang, “Left and Right Inverse Eigenpairs Problem of Generalized Centrosymmetric Matrices and Its Optimal Approximation Problem,” Applied Mathematics and Computation, Vol. 212, No. 1, 2009, pp. 481-487. doi:10.1016/j.amc.2009.02.035

[7] F. L. Li and K. K. Zhang, “Left and Right Inverse Eigenpairs Problem for the Symmetrizable Matrices,” Proceedings of the Ninth International Conference on Matrix Theory and Its Applications, Vol. 1, 2010, pp. 179-182.

[8] M. L. Liang and L. F. Dai, “The Left and Right Inverse Eigenvalue Problems of Generalized Reflexive and Anti-Reflexive Matrices,” Journal of Computational and Applied Mathematics, Vol. 234, No. 3, 2010, pp. 743-749.

[9] H. Dai, “The Theory of Matrices,” Science Press, Beijing, 2001.