1. Gladwell G. M. L., "Inverse problem in vibration", New York: Kluwer academic publishers (2004).## 2. Singh K. V., "The transcendental eigenvalue problem and its application in system identification, Department of mechanical engineering", Phd thesis, Louisiana State University (2003). ## 3. Hochstadt H., "On some inverse problems in matrix theory", Archiv der Mathematik, 18 (2) (1967) 201-207. ## 4. Hochstadt H., "On the reconstruction of a Jacobi matrix from spectral data", Linear Alegbra and its Applications, 68 (8) (1947) 435-446.## 5. Hald O. H., "Inverse eigenvalue problems for Jacobi matrices", Linear Alegbra and its Applications, 14 (1) (1976) 63-85. ## 6. Gladwell G. M.L., Willms N. B., "The reconstruction of a tridiagonal system from its frequency response at an interior point ," Inverse Problems, 4 (87) (1988) 1018-1024.## 7. Gladwell G. M. L., "Minimal mass solutions to inverse eigenvalue problems", Inverse Problems, 22 (2) (2006) 539-551.## 8. Porter B., "Synthesis of lumped-parameter vibrating systems by an inverse Holzer technique", Journal of Mechanical Engineering Science, 12(1) (1970) 17-19.## Porter B., "Synthesis of lumped-parameter vibrating systems using transfer matrices", International Journal of Mechanical Sciences, 13 (1) (1971) 29-34.## 9. Gladwell G. M. L., "The inverse mode problem for lumped-mass systems", Quarterly Journal of Mechanics and Applied Mathematics, 39 (2) (1986) 297-307.## 10. Gladwell G. M. L., "Inverse finite element vibration problems", Journal of Sound and Vibration, 211 (2) (1999) 309-324.## 11. Ghanbari K., "M-functions and inverse generalized eigenvalue problem", Inverse problems, 17(2001) 211-217.## 12. Ghanbari K., Parvizpour F., Mirzaei H., "Constructing Jacobi matrices using prescribed mixed eigendata", Linear and Multilinear Algebra, 62 (6) (2014) 721-734.## 13. Aydin A., Guseinov G.sh., "Inverse spectral problem for finite Jacobi matrices with zero diagonal", Linear and Multilinear Algebra, 23 (8) (2015) 1267-1282.## 14. Wei Y., "Inverse eigenvalue problem of Jacobi matrix with mixed data", Linear Alegbra and its Applications, 466 (1) (2015) 102-116.## 15. Peng Z. Y., Han X. L., "Constructing Jacobi matrices with prescribed ordered defective eigenpairs and a principal submatrix", Journal of Computational and Applied Mathematics, 175 (2) (2005) 321-333.## 16. Bai Y., Wei G., "A new inverse three spectral theorem for Jacobi matrices", Linear Alegbra and its Applications, 493 (1) (2016) 301-312.## 17. Nazari A. M., Mahdinasab F., "Inverse eigenvalue problem of distance matrix via orthogonal matrix", Linear Alegbra and its Applications, 450 (1) (2014) 202-216.## 18. Nazari A. M., Kamali Maher S., "On the nonnegative inverse eigenvalue problem of traditional matrices", Journal of Linear and Topological Algebra, 2 (3) (2013) 161-167.## 19. Nazari A. M., Afshari E., "On the construction of symmetric nonnegative matrix with prescribed Ritz values", Journal of Linear and Topological Algebra 3 (2) (2014) 61-65.## 20. Mirzaei H., "Inverse eigenvalue problem for pseudo-symmetric jacobi matrices with two spectra", Linear and Multilinear Algebra, 66 (4) (2018) 759-768.## 21. Bebiano N., Fonseca C. M., Providencia J., "An inverse eigenvalue problem for periodic Jacobi matrices in Minkowski spaces", Linear Alegbra and its Applications, 435 (1) (2011) 2033-2045. ## 22. Bebiano N., Providencia J., "Inverse eigenvalue problems for pseudo-Jacobi matrices: existence and uniqueness", Inverse Problem, 27 (2011) 1-12. ##