DEBASISHA  MISHRA

Department Department of Mathematics
Designation Associate 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

Upcoming Publications/Preprints:

1.  A Higher-order Power Iterative Method for Dominant Eigenvalue of Tensors with Snigdhashree Nayak, Krushnachandra Panigrahy and Nachiketa Mishra (2024) Preprint.

 

2.      Numerical range for weighted Moore-Penrose inverse of tensor with Aaisha Be and Vaibhav Shekhar, Electronic Journal of Linear Algebra 40 (2024) 140-171.

3.     On WD and WDMP generalized inverses in ring with  Amit Kumar To appear in Filomat (2024).

4.      A rotational shift-splitting method for complex linear system with Snigdhashree Nayak and Nachiketa Mishra, To appear in  NUMERICAL ALGORITHMS (2024)

5. Weighted numerical range and weighted numerical radius for even-order tensor via Einstein product with Aaisha Be,  To appear in  Rendiconti del Circolo Matematico di Palermo Series 2 (2024)

 

 


Please go through the following links for all of my published papers 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

Operators and Matrices

Journal of Computational and Applied Mathematics

Numerical Algorithms

Computers & Mathematics with Applications

Applied Mathematics and Computation

 

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   (Status: Completed 2018,    Thesis Title: Matrix Splittings and its Connection With Non-Negative Generalized Inverses,  Currently working as an Assistant Prof. at NIST, Berhampur, Odisha)

(ii).  Dr. Krushna Chandra Panigrahy   (Status: Completed 2021,    Thesis Title: Reverse order laws of Tensors, Research  Associate at IISc Bangalore)

(iii).  Dr. Vaibhav Sekhar, (Status: Completed 2022,    Thesis Title:  On convegence theory of iterative methods based on matrix splittings and generalized inverses, Post Doctoral Fellow at IIT Delhi)

(iv).  Dr. Nirmal Chandra Rout  (Status: Completed 2022,    Thesis Title: Numerical Radius Inequalities of Operators and Tensors, Assistant Professor, Bhadrak Autonomous college, Bhadrak, Odisha)

(v)   Mr. Amit Kumar (Status: ongoing,    Topic: Reverse and Forward order laws)

(vi)  Miss. Aaisha Be (Status: ongoing,    Topic: Numerical Radius Inequalities)

(vii)   Mr. Priyaranjan Mallick (Status: ongoing,    Topic: Number Theory)

 

4. Int. MSc Project Guidance:   01

5. Summer Project Guidance:   03 (First pursuing PhD at IIT Delhi and other two are pursuing MSc at NIT RKL)

 

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

No. of  completed projects: 05 (CCOST, YSS:SERB, EMR:CSIR,  MATRICS:SERB, CRG:SERB) 

 

7. Courses Taught:

                          (i) BTech- Mathematics I,II,III, IV,  and Discrete Mathematics at NIT Raipur

                           (ii) BSc-Differential Equations, and Complex analysis at IMA Bhubaneswar

                           (iii) MSc- Linear Algebra at NIT Raipur

 

8. Invited Talks:            

                                  (i) Utkal University

                                 (ii)  Berhampur University

                                 (iii) IIIT Kanchepuram

                                 (iv)  BIT Durg

                                  (v) OUAT Bhubaneswar

 

9. Reviwer of PhD Thesis:  02

                                   

 


 

NIT Raipur  may provide  Institute Fellowships to those who  qualify its entrance and viva for PhD in Mathematics Dept. One may get an Institute fellowship even without a  valid GATE/NET score.