Open Access

# On the inverse eigenvalue problems for a Jacobi matrix with mixed given data

### 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.

### 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 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},
URL = {http://mfat.imath.kiev.ua/article/?id=1056},
}

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