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Inverse Problems in Science and Engineering Volume 28, 2020 - Issue 9
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Articles

On the inverse eigenvalue problem for periodic Jacobi matrices

M. Heydaria Department of Computer Science, Yazd University, Yazd, IranCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-7739-8710
ORCID Icon,
S. A. Shahzadeh Fazelia Department of Computer Science, Yazd University, Yazd, Iran;b Parallel Processing Laboratory, Yazd University, Yazd, IranCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-3724-8689
ORCID Icon,
S. M. Karbassic Department of Mathematics, Yazd University, Yazd, Iran
&
M. R. Hooshmandasla Department of Computer Science, Yazd University, Yazd, Iran
Pages 1253-1264 | Received 02 Jun 2019, Accepted 08 Dec 2019, Published online: 23 Dec 2019

References

  • Chu Moody T, Golub Gene H. Inverse eigenvalue problems: theory, algorithms, and applications. Vol. 406. New York: Oxford University Press; 2005.
  • Heydari M, Shahzadeh Fazeli SA, Karbassi SM. On the inverse eigenvalue problem for a special kind of acyclic matrices. Appl Math. 2019;64(3):351–366.
  • Xu S-F. An introduction to inverse algebraic eigenvalue problems. Vol. 301. Michigan: Peking University Press; 1998.
  • Peng J, Hu X-Y, Zhang L. Two inverse eigenvalue problems for a special kind of matrices. Linear Algebra Appl. 2006;416(2):336–347.
  • Hogben L. Spectral graph theory and the inverse eigenvalue problem of a graph. Electron J Linear Algebra. 2005;14:12–31.
  • Adler M, Haine L, Van Moerbeke P. Limit matrices for the toda flow and periodic flags for loop groups. Appl Comput Harmon Anal. 1993;296(1):1–33.
  • Andrea Stephan A, Berry TG. Continued fractions and periodic Jacobi matrices. Linear Algebra Appl. 1992;161:117–134.
  • Damanik D, Lukic M, Yessen W. Quantum dynamics of periodic and Limit-Periodic Jacobi and Block Jacobi matrices with applications to some quantum many body problems. Comm Math Phys. 2015;337(3):1535–1561.
  • Ferguson Warren E. The construction of Jacobi and periodic Jacobi matrices with prescribed spectra. Math Comput. 1980;35(152):1203–1220.
  • Boley D, Golub Gene H. A modified method for reconstructing periodic Jacobi matrices. Math Comput. 1984;42(165):143–150.
  • Boley D, Golub Gene H. A survey of matrix inverse eigenvalue problems. Inverse Probl. 1987;3(4):595–622.
  • Xu Y-H, Jiang E-X. An inverse eigenvalue problem for periodic Jacobi matrices. Inverse Probl. 2006;23(1):165–181.
  • Sharma D, Sen M. Inverse eigenvalue problems for two special acyclic matrices. Mathematics. 2016;4(1).
  • da Fonseca CM, Petronilho J. Explicit inverses of some tridiagonal matrices. Linear Algebra Appl. 2001;325(1):7–21.
  • Coakley ES, Rokhlin V. A fast divide-and-conquer algorithm for computing the spectra of real symmetric tridiagonal matrices. Appl Comput Harmon Anal. 2013;34(3):379–414.
  • Ayatollahi M. Maximal and minimal eigenvalue assignment for discrete-time periodic systems by state feedback. Optim Lett. 2013;7(6):1119–1123.

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