Falguni Roy

Designation: 

Assistant Professor

Date of Joining at NITK: 

Monday, September 30, 2019

Professional Experience: 

5 Years at NITK

Contact Details

E-mail: 

royfalguni[at]nitk.edu.in
falguni.roy.92[at]gmail.com

Telephone: 

91-824-2473359

Mobile: 

91-9635311057
Academic Background

Ph.D., 2018- Indian Institute of Technology Kharagpur
Master of Science, Mathematics, 2014- Indian Institute of Technology Kharagpur.
Bachelor of Science, Mathematics (Hons), 2012- Bidhan Chandra College, Asansol, The University of Burdwan.

Areas of Interest
  • Numerical Linear Algebra
  • Matrix Analysis
  • Generalized Inverses
Supervision of Ph.D

Completed: 2
Ongoing: 1

Achievements

Awards and Distinctions
1. ‘Institute Research Assistantship’ (2014-2018) for Ph.D. from IIT Kharagpur.
2. Qualified ‘National Eligibility Test (NET) Lectureship 2015 (AIR-47)’ exam in Mathematical Sciences
3. Qualified ‘West Bengal State Eligibility Test (SET) 2015’ exam in Mathematical Sciences.
4. Qualified ‘Joint Admission Test for M.Sc. (JAM) 2012 (AIR-88)’ exam in Mathematics.

Significant Publications

1. Rounak Biswas, Falguni Roy, “Equivalency of Drazin and g-Drazin invertibility of elements in a Banach algebra.” Accepted for publication in Indian Journal of Pure and Applied Mathematics. https://doi.org/10.1007/s13226-025-00915-1
2. Geeta Chowdhry and Falguni Roy “Generalized Core-EP Inverse: Representational and Computational Aspects.” Indian Journal of Pure and Applied Mathematics (2025), https://doi.org/10.1007/s13226-025-00813-6
3. Rounak Biswas, Falguni Roy. “The generalized and pseudo n-strong Drazin inverse of the sum of elements in Banach algebras.” Indian Journal of Pure and Applied Mathematics (2025), https://doi.org/10.1007/s13226-025-00811-8
4. Rounak Biswas, and Falguni Roy, “Comprehensive classification of the algebra generated by two idempotent matrices.” Linear Algebra and its Applications 705 (2025): 185-206. https://doi.org/10.1016/j.laa.2024.11.005
5. Geeta Chowdhry, Predrag S. Stanimirovic, and Falguni Roy. “Characterizations of {1, 3}-Bohemian inverses of structured matrices.” FILOMAT 39.10 (2025): 3263-3278. https://doi.org/10.2298/FIL2510263C
6. Arnab Patra, Falguni Roy. “On the estimation of q–numerical radius of Hilbert space operators.” Operators & Matrices 18.2 (2024). dx.doi.org/10.7153/oam-2024-18-21
7. Rounak Biswas, and Falguni Roy, “Drazin and group invertibility in algebras spanned by two idempotents.” Linear Algebra and its Applications 689 (2024): 155-175. https://doi.org/10.1016/j.laa.2024.02.024
8. Geeta Chowdhry, Falguni Roy. “A W -weighted generalization of {1, 2, 3, 1 k } inverse for rectangular matrices.” The Journal of Analysis 32.5 (2024): 2913-2937. https://doi.org/10.1007/s41478-024-00759-8
9. Predrag Stanimirovic, Falguni Roy, D.K. Gupta, “Computing the Moore-Penrose inverse using its error bounds.”Applied Mathematics and Computation 371 (2020): 124957. https://doi.org/10.1016/j.amc.2019.124957
10. Falguni Roy, D. K. Gupta, and Predrag S. Stanimirovic. “An interval extension of SMS method for computing weighted Moore-Penrose inverse.” Calcolo 55, no. 2 (2018): 15. https://doi.org/10.1007/s10092-018-0257-4
11. Falguni Roy, and Dharmendra K. Gupta. “Sufficient regularity conditions for complex interval matrices and approximations of eigenvalues sets.” Applied Mathematics and Computation 317 (2018): 193-209. http://dx.doi.org/10.1016/j.amc.2017.08.056
12. Shwetabh Srivastava, Dharmendra K. Gupta, Predrag Stanimirovic, Sukhjit Singh, and Falguni Roy. “A hyperpower iterative method for computing the generalized Drazin inverse of Banach algebra element.” Sadhana 42, no. 5 (2017): 625-630.10.1007/s12046-017-0607-y
13. Sukhjit Singh, D. K. Gupta, and Falguni Roy. “Higher order multi-step interval iterative methods for solving nonlinear equations in Rn .” SeMA Journal 74, no. 2 (2017): 133-146. 10.1007/s40324-016-0084-y

 

Contact us

Dr. Pushparaj Shetty D , Professor and Head
Department of Mathematical and Computational Sciences,
NITK, Surathkal
P. O. Srinivasnagar, Mangalore - 575 025
Karnataka, India.

  • Hot line: +91-0824-2474032

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