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On Determination of a Finite Jacobi Matrix from Two Spectra
Department of Mathematics, Atilim University, 06836 Incek, Ankara, Turkey. E-mail: guseinov@atilim.edu.tr
Computer Modeling in Engineering & Sciences 2012, 84(5), 405-422. https://doi.org/10.3970/cmes.2012.084.405
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In this work we study the inverse spectral problem for two spectra of finite order real Jacobi matrices (tri-diagonal matrices). The problem is to reconstruct the matrix using two sets of eigenvalues, one for the original Jacobi matrix and one for the matrix obtained by replacing the first diagonal element of the Jacobi matrix by some another number. The uniqueness and existence results for solution of the inverse problem are established and an explicit procedure of reconstruction of the matrix from the two spectra is given.Keywords
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APA Style
Guseinov, G.S. (2012). On determination of a finite jacobi matrix from two spectra. Computer Modeling in Engineering & Sciences, 84(5), 405-422. https://doi.org/10.3970/cmes.2012.084.405
Vancouver Style
Guseinov GS. On determination of a finite jacobi matrix from two spectra. Comput Model Eng Sci. 2012;84(5):405-422 https://doi.org/10.3970/cmes.2012.084.405
IEEE Style
G.S. Guseinov, “On Determination of a Finite Jacobi Matrix from Two Spectra,” Comput. Model. Eng. Sci., vol. 84, no. 5, pp. 405-422, 2012. https://doi.org/10.3970/cmes.2012.084.405
Copyright © 2012 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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