Abstract
We give necessary and sufficient conditions for existence and uniqueness of a solution to inverse eigenvalues problems for Jacobi matrix with given mixed initial data. We also propose effective algorithms for solving these problems.
Key words: Jacobi matrix, inverse eigenvalue problems, mixed initial data.
Full Text
Article Information
| Title | On the inverse eigenvalue problems for a Jacobi matrix
with mixed given data |
| Source | Methods Funct. Anal. Topology, Vol. 24 (2018), no. 2, 178-186 |
| MathSciNet |
MR3827127 |
| Milestones | Received 06/02/2018 |
| Copyright | The Author(s) 2018 (CC BY-SA) |
Authors Information
L. P. Nizhnik
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs’ka str., Kyiv, 01601, Ukraine
Citation Example
L. P. Nizhnik, On the inverse eigenvalue problems for a Jacobi matrix
with mixed given data, Methods Funct. Anal. Topology 24
(2018), no. 2, 178-186.
BibTex
@article {MFAT1056,
AUTHOR = {Nizhnik, L. P.},
TITLE = {On the inverse eigenvalue problems for a Jacobi matrix
with mixed given data},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {24},
YEAR = {2018},
NUMBER = {2},
PAGES = {178-186},
ISSN = {1029-3531},
MRNUMBER = {MR3827127},
URL = {http://mfat.imath.kiev.ua/article/?id=1056},
}
