DEBASISHA  MISHRA

Department Department of Mathematics
Designation Assistant Professor
Educational Qualification PhD (IIT Madras)
E-Mail dmishra@nitrr.ac.in
Contact Number 9329691324
Areas of Interest

1. Generalized Inverses of Matrices and Tensors

2. Numerical Radius Inequalities   

Publications

19. On convergence theory of double K-weak splittings of type II with   V. Shekhar and N. Mishra to appear in Applications of Mathematics (2021).

18.  On C-tensor and its application to eigenvalue localization,  with Panigrahy and Pena to appear in Linear and Multilinear Algebra (2021).

17.  Convergence of two-stage iterative scheme for $K$-weak regular splittings of type II with application to  Covid-19 pandemic model with   V. Shekhar and N. Mishra, Preprint https://arxiv.org/abs/2007.06047.

16.  Further results on $\mathbb{A}$-numerical radius inequalities  with N. C. Rout, preprint. https://arxiv.org/abs/2007.04804

 15.  On Convergence of Two-Stage Iterative Scheme with  V. Shekhar and C K Giri,  The Journal of Analysis (2021)

14.  Numerical solution of large discrete-time markov chains by three-step alternating iteration method with  R.  Nandi and S. K. Samanta, Preprint.

13.  Alternating Stationary Iterative Methods Based on Double Splittings with   A. K. Nandi, V. Shekhar and N. Mishra, To appear in Computers and Mathematics with Applications (2021).

12.  Further results on convergence of three-step alternating iteration scheme with  V. Shekhar,  submitted.

11. A note on a faster fixed point iterative method  with  K. C. Panigrahy DOI:10.22541/au.159144324.43453139


10.  On $\mathbb{A}$-numerical radius inequalities for $2\times2$ operator matrices  with N. C. Rout and S. Sahoo,    Linear and Multilinear Algebra (2020).

9.  On reverse-order law of tensors and its application to additive results on Moore-Penrose inverse with  K. C. Panigrahy, RACSAM (2020)114: 1-17.

 8. A note on double weak splittings of type II with  V. Shekhar and C. K. Giri,  Linear and Multilinear Algebra (2020).

7.  Some A-Numerical Radius Inequalities for Semi-Hilbertian Space Operators with N. C. Rout and S. Sahoo,  Linear and Multilinear Algebra (2020).

6. Convergence Theory of Iterative Methods based on Proper Splittings and Proper Multisplittings for Rectangular Linear Systems with V. Shekhar and C. K. Giri, Filomat (2020)

5. Extension of Moore–Penrose inverse of tensor via Einstein product with  K. C. Panigrahy,    Linear and Multilinear Algebra (2020)

4. Berezin Number and Numerical Radius Inequalities for Operators on Hilbert Spaces  with S. Sahoo and N. Das, Advances in Operator Theory(2020).

3. Three-step alternating iterations for index one and nonsingular matrices with A. Nandi and J. K. Sahoo, Numerical Algorithms   84  (2020) 457483.

2. Reverse-order law for weighted Moore--Penrose inverse of tensors with  K. C. Panigrahy Advances in Operator Theory 5 (2020) 39–63.

1. Reverse order law for the Moore-Penrose inverses of tensors with K. C. Panigrahy and R. Behera,  Linear and Multilinear Algebra 68 (2020) 246-264.


Please go through the following links for all of my articles details:

http://scholar.google.co.in/citations?user=aXHSxNYAAAAJ&hl=en

http://nitrr.irins.org/profile/112676

 

AMS MATHSCIENT Mathematical reviews:

https://mathscinet.ams.org/mathscinet/search/author.html?mrauthid=931043

Other Info.

1. REFEREEING /REVIEWING

Reviewer:

 Mathematical Reviews

Referee:

Linear Algebra and its Applications

Linear and Multilinear Algebra

Electronic Journal of Linear Algebra

Special Matrices

Journal of Computational and Applied Mathematics

Numerical Algorithms

Computers & Mathematics with Applications

Mathematical Methods in the Applied Sciences

IEEE Access

International Journal of Computer Mathematics

Results in Mathematics

Numerical Functional Analysis and Optimization

Open Mathematics

Filomat

Computational and Applied Mathematics

Bulletin of the Malaysian Mathematical Sciences Society

Khayyam Journal of Mathematics

Concrete Operators

Statistics in Transition. New Series

Journal of Applied Mathematics

Proceedings of the National Academy of Scienes, Physical Sciences (NASA)

Applied Mathematics E-notes

 

Referee Duty (Scientific Board):

Science and Engineering Research Board (SERB), DST, New Delhi

 

 

2. My PhD deatils can be found in the following link:

https://www.genealogy.math.ndsu.nodak.edu/id.php?id=160788

 


3. PhD Students:

(i).  Dr. Chinmay Kumar Giri (Completed 2018)

(ii).  Mr. Krushna Chandra Panigrahy   (Status: Ongoing,    Topic: Reverse order laws of Tensors)

(iii).  Mr. Vaibhav Sekhar, (Status: Ongoing,    Topic: Matrix splittings and Generalized Inverses)

(iv).  Mr. Nirmal Chandra Rout  (Status: Ongoing,    Topic: Numerical Radius Inequalities)

 

4. Int. MSc Project Guidance:   01

 

5. Summer Project Guidance:   01


6. Total No. of Research Projects: 05 (SERB-03, CSIR-01, CCOST-01)

No. of ongoing projects: 02 (CRG:SERB, MATRICS:SERB)

No. of  completed projects: 03 (CCOST, YSS:SERB, EMR:CSIR)