Yıl 2019, Cilt 68, Sayı 2, Sayfalar 1273 - 1288 2019-07-01
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## On the inverse problem for finite dissipative Jacobi matrices with a rank-one imaginary part

#### Ebru Ergun [1]

##### 10 36

This paper deals with the inverse spectral problem consisting in the reconstruction of a finite dissipative Jacobi matrix with a rank-one imaginary part from its eigenvalues. Necessary and sufficient conditions are formulated for a prescribed collection of complex numbers to be the spectrum of a finite dissipative Jacobi matrix with a rank-one imaginary part. Uniqueness of the matrix having prescribed eigenvalues is shown and an algorithm for reconstruction of the matrix from prescribed eigenvalues is given.
Jacobi matrix, eigenvalue, normalizing number, dissipative, inverse spectral problem
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Birincil Dil en Matematik Makaleler Orcid: 0000-0003-4873-6191Yazar: Ebru Ergun (Sorumlu Yazar)Kurum: Department of Mathematics, Karabuk University.Ülke: Turkey
 Bibtex @araştırma makalesi { cfsuasmas419098, journal = {Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, issn = {1303-5991}, eissn = {2618-6470}, address = {Ankara Üniversitesi}, year = {2019}, volume = {68}, pages = {1273 - 1288}, doi = {10.31801/cfsuasmas.419098}, title = {On the inverse problem for finite dissipative Jacobi matrices with a rank-one imaginary part}, key = {cite}, author = {Ergun, Ebru} } APA Ergun, E . (2019). On the inverse problem for finite dissipative Jacobi matrices with a rank-one imaginary part. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68 (2), 1273-1288. DOI: 10.31801/cfsuasmas.419098 MLA Ergun, E . "On the inverse problem for finite dissipative Jacobi matrices with a rank-one imaginary part". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2019): 1273-1288 Chicago Ergun, E . "On the inverse problem for finite dissipative Jacobi matrices with a rank-one imaginary part". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2019): 1273-1288 RIS TY - JOUR T1 - On the inverse problem for finite dissipative Jacobi matrices with a rank-one imaginary part AU - Ebru Ergun Y1 - 2019 PY - 2019 N1 - doi: 10.31801/cfsuasmas.419098 DO - 10.31801/cfsuasmas.419098 T2 - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics JF - Journal JO - JOR SP - 1273 EP - 1288 VL - 68 IS - 2 SN - 1303-5991-2618-6470 M3 - doi: 10.31801/cfsuasmas.419098 UR - http://dx.doi.org/10.31801/cfsuasmas.419098 Y2 - 2018 ER - EndNote %0 Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics On the inverse problem for finite dissipative Jacobi matrices with a rank-one imaginary part %A Ebru Ergun %T On the inverse problem for finite dissipative Jacobi matrices with a rank-one imaginary part %D 2019 %J Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics %P 1303-5991-2618-6470 %V 68 %N 2 %R doi: 10.31801/cfsuasmas.419098 %U 10.31801/cfsuasmas.419098 ISNAD Ergun, Ebru . "On the inverse problem for finite dissipative Jacobi matrices with a rank-one imaginary part". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 / 2 (Temmuz 2019): 1273-1288. http://dx.doi.org/10.31801/cfsuasmas.419098