Papers

14. Batzorig Undrakh, Determinantal polynomials of a weighted shift matrix with reversible geometric weights, (2021) accepted to Operators and Matrices.

13. joint with Ganbileg Bat-Ochir, Refinement of the upper bound of the radius of a circular integral points set, 2021, accepted to Gulf Journal of Mathematics.

12. joint with Michael Dritschel, Rational dilation problems associated with constrained algebras. J. Math. Anal. Appl. 467 (2018), no. 1, 95-131.

11. joint with Hiroshi Nakazato, Adiyasuren Vandanjav and Mao Tin Chien, The numerical radius of a weighted shift operator, Electronic Journal of Linear Algebra, Volume 30, pp. 944-963, December 2015.

10. joint with Mao-Ting Chien, Hiroshi Nakazato and Adiyasuren Vandanjav, Determinantal polynomials of a weighted shift operator, Linear and Multilinear Algebra, Volume 64, pp.2-13, 2016- Issue 1.

9. joint with Adiyasuren Vandanjav, Inequality for a simplex , INTERNATIONAL JOURNAL OF GEOMETRY Vol. 3 (2014), No. 1, 44 - 47.

8. joint with Adiyasuren Vandanjav, On the numerical range of some weighted shift matrices and operators , Linear Algebra and its Applications,449 (2014) 76-88.

  1. joint with Adiyasuren Vandanjav, On the Fine Spectrum of Generalized Third Order Difference Operator ∆vuw on Banach Space , Gulf Journal of Mathematics Vol 2, Issue 2 (2014)94-106.

6. joint with Adiyasuren Vandanjav , A Simple proof of lower bound for the smallest singular value ,Mathproblems , Volume 3, Issue 3 (2013), 190-192.

5. joint with Adiyasuren Vandanjav , Some Generalization of Power Inequalities for the Numerical radius of Sum of Products of Two Operators in Hilbert Space , submitted.

4. joint with Adiyasuren Vandanjav, On the Fine Spectrum of Fibonacci-type Operators on the Banach space `1 , Mongolian Mathematical Journal, 16 (2012), 24 - 36.

3. joint with Adiyasuren Vandanjav and Batbold Tserendoj, On some weighted Erd¨os-Mordel’s type inequalities for polygons, Int. Journal of Geometry 1 (2012), no. 2, 15 -21.

2. joint with Adiyasuren Vandanjav, On the numerical ranges of weighted shift operators with geometric and harmonic weights, Electronic Journal of Linear Algebra, 23 (2012), 578-585.

1. joint with Adiyasuren Vandanjav, New Estimates on the Numerical Radius of Operators, Int. Journal of Math. Analysis, 6 (2012), no. 33, 1603 - 1613.