https://orcid.org/0000-0001-8905-9241
References
- Bebiano N, da Providencia J. Inverse spectral problems for structured pseudo-symmetric matrices. Linear Algebra Appl. 2013;438:4062–4074.
- Bebiano N, Fonseca CM, da Providencia J. An inverse eigenvalue problem for periodic Jacobi matrices in Minkowski spaces. Linear Algebra Appl. 2011;435:2033–2045.
- Bebiano N, da Providencia J. Inverse eigenvalue problems for pseudo-Jacobi matrices: existence and uniqueness. Inverse Probl. 2011;27:025005. 12 pp.
- Caddemi S, Calia I. The influence of the axial force on the vibration of the Euler-Bernoulli beam with an arbitrary number of cracks. Arch Appl Mech. 2012;82:827–839.
- Caddemi S, Calia I. Exact closed-form solution for the vibration modes of the Euler-Bernoulli beam with multiple open cracks. J Sound Vib. 2009;327:473–489.
- Chu MT, Diele F, Ragni S. On the inverse problem of constructing symmetric pentadiagonal Toeplitz matrices from their three largest eigenvalues. Inverse Probl. 2005;21:1879–1894.
- Li J, Dong L, Li G. A class of inverse eigenvalue problems for real symmetric banded matrices with odd bandwidth. Linear Algebra Appl. 2018;541:131–162.
- Ghanbari K, Mirzaei H. Inverse eigenvalue problem for pentadiagonal matrices. Inverse Probl Sci Eng. 2014;22(4):530–542.
- Gladwell GML. Inverse problems in vibration. New York: Kluwer Academic; 2004.
- Golub GH. Some modified matrix eigenvalue problem. SIAM Rev. 1973;15(2):318–334.
- Han RPS, Zu JW. Pseudo non-selfadjoint and non-selfadjoint systems in atructural dynamics. J Sound Vibrat. 1995;184(4):725–742.
- Metrovic M. Finite difference method for non-smooth beam bending. Int'l Conf. Scientific Computing; CSC'17.
- Mirzaei H. Inverse eigenvalue problem for pseudo-symmetric Jacobi matrices with two spectra. Linear Multilinear Algebra. 2018;66(4):759–768.
- Moghaddam MR, Mirzaei H, Ghanbari K. On the generalized inverse eigenvalue problem of constructing symmetric pentadiagonal matrices from three mixed eigendata. Linear Multilinear Algebra. 2015;63(6):1154–1166.
- Shubo MA. Generation of Gevrey class semigroup by non-selfadjoint Euler-Bernoulli beam model. Math Methods Appl Sci. 2006;29:2181–2199.
- Xu WR, Bebiano N, Chen GL. An inverse eigenvalue problem for pseudo-Jacobi matrices. Appl Math Comput. 2019;346:423–435.
- Xu WR, Bebiano N, Chen GL. On the construction of real non-selfadjoint tridiagonal matrices with prescribed three spectra. Electr Trans Numer Anal. 2019;51:363–386.
- Xu WR, Bebiano N, Chen GL. Generalized inverse spectral problem for pseudo-jacobi matrices with mixed eigendata. Inverse Probl Sci Eng. 2019;27(6):773–789.