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Departments Mathematics Faculty

Dr. Manideepa Saha

Dr. Manideepa Saha

Associate Professor
manideepa.saha@nitm.ac.in   
Qualification : Ph.D, IIT Guwahati
Area of Research : Linear Algebra and Matrix theory

International Journals:

  1. Aritra Narayan Hisabia and Manideepa Saha, Sign patterns of semimonotone matrices, Linear Algebra and its Applications, Vol 724 (2025), 206-217, https://doi.org/10.1016/j.laa.2025.06.019
  2. Aritra Narayan Hisabia and Manideepa Saha, New Properties of Semipositive Matrices and Polyhedral Cones, Operators and Matrices, Vol 19, No 2(2025), 275-294.
  3. Ashif Mustafa and Manideepa Saha, A Maximal Residual Two Subspace Projection Algorithm for Solving Least-Squares Problems,   Communications on Applied Mathematics and Computation (2025), https://doi.org/10.1007/s42967-025-00495-1
  4. Ashif Mustafa and Manideepa Saha, Maximal residual extended Kaczmarz and Gauss-Seidel methods- convergence properties and applications,  Journal of Computational and Applied Mathematics, Vol 443, (2024), 115920,  doi: 10.1016/j.cam.2024.115920
  5. Aritra Narayan Hisabia and Manideepa Saha, Semipositivity of matrices with respect to the Lorentz cone,  Electronic Journal of Linear Algebra, Vol. 39 (2023), 644-660, doi:10.13001/ela.2023.7777
  6. Ashif Mustafa and Manideepa Saha, A two-dimensional randomized extended Gauss-Seidel algorithm, Numerical Algorithms, Vol. 96, 665–686 (2024), https://doi.org/10.1007/s11075-023-01661-3
  7.  Jahnabi Chakravarty and Manideepa Saha, Generalized interval AOR method for solving interval linear equations, Mathematical Foundation of Computing, Vol. 8(1), (2025), 16-35, doi: 10.3934/mfc.2023035 
  8. Aritra Narayan Hisabia and Manideepa Saha, Algebraic and Geometric Properties of   Ln+-semipositive matrices and Ln+-semipositive cones, Linear Algebra and its Applications,  Vol. 672, (2023), 210-227.
  9. Jahnabi Chakravarty and Manideepa Saha,  Generalization of Interval Jacobi and Gauss-Seidel Methods for Interval Linear System,  Journal of Computational Analysis and Applications, Vol. 31(3), (2023) , 345-365. 
  10.  B. Ghosh, B. Barman and M. Saha,  Multiple dynamics in a delayed predator-prey model with asymmetric functional and numerical responses,  Mathematical methods in Applied Sciences, (2022), doi:10.1002/mma.882
  11. Ashif  Mustafa and Manideepa Saha,  A  generalized projection iterative method for solving non-singular linear systems,  Mathematical Foundations of Computing, Vol. 5(4), (2022),  343-350. doi: 10.3934/mfc.2022009
  12. Jahnabi Chakravarty, Ashiho Athikho  and Manideepa Saha, Convergence of Internal AOR Method for Linear  Interval Equations, Numerical Algebra, Control and Optimization (2022),  Vol. 12(2), 293-308.
  13.  Manideepa Saha, On Some Generalized inverses of M_v-matrices, Operator and Matrices, Vol. 15 (2021), 1227-1240.
  14. Aritra Narayan Hisabia and Manideepa Saha, On Properties of Semipositive Cones and Simplicial Cones,   Electronic Journal of  Linear Algebra, Vol. 36 (2020), 764-772
  15.  Manideepa Saha and Jahnabi Chakravarty,  Generalized SOR, Jacobi and Gauss–Seidel Methods for Linear Systems. Int. J. Appl. Comput. Math 6, 77 (2020). https://doi.org/10.1007/s40819-020-00830-5
  16. Manideepa Saha and Sriparna Bandopadhyay, Combinatorial properties of generalized M- matrices,  Vol. 30 (2015), 550-576, doi: 10.13001/1081-3810.1974.

Books:

Sl No. Author Name Title Publisher ISBN No Pages Year
1 M. Saha Iterative method for linear system with coefficient matrix as an M_v -matrix, Applied and Computational Matrix Analysis, MAT-TRIAD: International Conference on Matrix Analysis and its Applications,(2016): 241-251, https://link.springer.com/book/10.1007/978-3-319-49984-0 Springer 978-3-319-49982-6 241-251 2016
2 M. Saha Nonnegative Matrices and Generalized M-matrices: A Combinatorial Study LAMBERT Academic Publishing 973-3-330-34687-1 1-144 2017

Sl No.
Title of Project

PI
Co-PI
Funding Agency

Sanctioned Amount

StartYr - EndYr (Duration)
Status Project Type
1 On splitting of generalized M -matrices Manideepa Saha NA NIT Meghalaya 25000 2015-2017 Completed Start-up
2 Iterative methods for solving non-square linear system Manideepa Saha NA DST-SERB 1748560 2018-2021 Completed on April 2022  Sponsored
3 On LU-factorization of Generalized M-matrices Manideepa Saha NA DAE-NBHM 1433600 2018-2021 Completed on Dec 2022 Sponsored
4 A study on interval methods for system of equations Manideepa Saha NA TEQIP-III 152250 2019-2021 Completed Minor

Ph.d Students guided

  1. Binandita Barman, Thesis title: Delay-induced stability analysis and harvesting results in some population models, Date of Award: 24.07.2022, Role: Co-supervisor.
  2. Aritra Narayan Hisabia, Thesis title:  On Semipositivity of Matrices related to Nonnegative Orthant and Lorentz Cone, Date of Submission: 16.06.2023, Date of Defence: 26.09.2023
  3. Jahnabi Chakravarty, Thesis title: Iterative Method for Solving Interval Linear Systems, Date of submission: 07.08.2023, Date of Defence: 30.10.2023.
  4. Ashif Mustafa, Thesis title:  On Projection Based Iterative Methods to Solve Large Linear Systems: Date of submission: 19.12.2023, Date of Defence: 28.08.2024.

Ongoing Ph.d students

  1. Sovrin Pal
  2. Bikash Bayan
  3. Subham Saha
  4. Himangshu Barman

Ongoing M. Sc students

  1.  

Guided M.Sc Students

  1. Dushyant Rajput, Topic: A Study on Eigenvalues for Sign Pattern matrices, Year: 2024-25
  2. Sangeeta  Saikia, Topic: Descent and Conjugate Gradient Methods for Unconstrained Optimization Problems, Year: 2023-24 
  3. Santoshi Subhalaxmi Ray, Topic: Numerical methods for solving optimization problems , Year: 2022-23
  4. Ashish Mahanta, Topic: Projection methods for solving linear systems, Year: 2021-22.
  5. Shashikant Pandey, Topic: Fixed Point Theorems on Generalized Metric Spaces, Year: 2020-21
  6. Sabi Biswas, Topic: Linear complementarity problem and Semimonotone matrices, Year:2019-20
  7. Pujashree Buragohain, Topic: LU- and block LU-factorization of M-Matrices, Year: 2019-20
  8. Ashiho Athiko , Topic:  Interval methods for systems of equations, Year: 2018-19
  9. Jahnabi Chakravarty, Topic: Iterative methods for solving system of linear equations, Year: 2017-18

Sl no.  Title Sponsoring/ Funding Agency National /International Role Date & Place
1 GIAN Course on  Matrix Classes in Solving the Linear Complementarity Problem (191040K01) GIAN & MoE International  Coordinator December 12-16, 2022 at NIT Meghalaya
2 Short Term Training program (STTP) on Numerical Linear Algebra & Optimisation Techniques AICTE National  Coordinator March15-19, 2022 at NIT Meghalaya
3 INDIAN WOMEN AND MATHEMATICS (IWM) Regional Workshop on Research and Opportunities National Board of Higher Mathematics (NBHM) National  Local Organizer October 19-20, 2019 at  NIT Meghalaya
4 Research Conclave  2020 NIT Meghalaya National Organizing committee member February 28, 2020 at  NIT Meghalaya

  1. International Conference on the History of Mathematics(ICHM)-2023-24 held at IIT Guwahati, January 19-21, 2024
  2. 38th Annual Conference of the Ramanujan Mathematical Society, Dept. of Mathematics, IIT Guwahati, December 22-24, 2023.
  3. Virtual Workshop on Collating Mathematics Resources for Teachers in Higher Education(online), October 7-8, 2020,  at National Institute of Educational Planning and Administration
  4. "On Semipositive Cones and their Extremals" presented  on Alumni Symposium On Mathematics And Computing (Online),  September 19-20, 2020 at IIT Guwahati
  5. National Conference on Recent Trends in Mathematics and its Applications 2019 (NCRTMA2019) on December 20-21, 2019 at Department of Mathematics, GITAM Bengaluru
  6. "Convergence of Generalized Jacobi, Gauss-Seidel and SOR Methods for various classes of matrices" presented on  ICLAA 2019- International Conference on Linear Algebra and its Applications,  January 21-22, 2019 at London, United Kingdom.
  7. Summer Training Program on Active Learning for Senior Faculty held during July 2-6, 2018 at IIT Indore, India
  8. Workshop on Outcome Based Accreditation (Challenges and Opportunities) at NIT Meghalaya during September 22-23, 2018 at NIT Meghalaya.
  9. Attended GIAN course on “Matrices with Positive Principal Minors: Theory and Applications” in the period December 18-22, 2017
  10.  “Generalized Jacobi and Gauss-Seidel method for solving non-square linear systems” presented on ”International Conference on Matrix Analysis and its Applications” held in the period September 25-29, Poland, 2017.
  11.  Attended “Workshop on matrices and graphs”, January 2-7, 2017, SMIT, Sikkim, India.
  12.  Attended workshop “Indian Women & Mathematics : Regional Workshop on Research and Opportunity” held in the period February 19-20, 2016, IIT Guwahati, India.
  13.  Attended workshop on “Accreditation and Transformation of Technical Education” held in the period January 22-23, 2016, NIT Meghalaya, India.
  14. Attended workshop on “Mathematical Analysis and its Applications to Engineering”,held in the period January 02-04, 2016, IIT Guwahati, India.
  15.  “Iterative method for linear system with coefficient matrix as an M_v -matrix” presented on the conference MAT-TRIAD conference held in the period September 7-11, 2015, University of Coimbra, Portugal.
  16. “Characterization of M_v -matrices” presented on the conference “International Conference on Linear Algebra and its applications” held in the period December 18-20, 2014 at Manipal University, India.
  17.  Attended workshop on “EngineeringCurriculum and Instructional Design” held in the period June 5-7,2014, NIT Meghalaya.
  18.  “A constructive method for obtaining a preferred basis from a quasi-preferred basis for M -matrices” presented at International Conference of Numerical Linear algebra held in the period January 15-18, 2013, IIT Guwahati, India.
  19. “Combinatorial bases for the generalized null space and height and level characteristics on M ? -matrices” presented on the workshop “Linear Algebra and Matrix Theory: connections, applications and computations” held on December 3-7, 2012 at NUI Galway, Ireland.
  20. Advanced Training workshop on Numerical Linear Algebra, December 7-13, 2012, at IIT Guwahati.
  21. Advanced Instructional School on Numerical Linear Algebra , December 2-22, ,2010. at IIT Guwahati.

Current Semester (Autumn 2023)

  1. Integral Transforms & PDEs (MA201), Autumn 2023
  2. Linear Algebra (MA 403), Autumn 2023

Previous/Other Semester/Year
BTech-Courses:

  • Mathematics-I/ Differential Calculus and Linear Algebra (MA101)
  • Mathematics II (MA102)
  • Integral Transforms & PDEs (MA201)
  • Scientific Computing (MA203)
  • Mathematics Laboratory(MA 210)


MTech/M.Sc/Ph.D Courses:

  •  Real Analysis (MA 401)
  •  Complex Analysis (MA 402)
  •  Integral Transforms and Integral Equations (MA501)
  • Graph Theory (MA531)
  •  Topology (MA536)
  •  Linear Algebra (MA 403/MA402)
  •  Numerical Analysis (MA 407)
  •  Numerical Analysis Lab (MA 481)
  •  Number Theory (MA405)
  •  Abstract Algebra (MA 404)
  •  Operation Research (MA533)
  •  Analysis (MA702)
  •  Advanced Engineering Mathematics (MA701)
  •  Topics in Matrix Analysis (MA705)
  • Introductory Measure Theory/Measure Theory and Integration (MA 501/MA408)

  1. Associate Professor, Department of Mathematics, National Institute of Technology Meghalaya, August 12, 2025-till date
  2. Assistant Professor, Department of Mathematics, National Institute of Technology Meghalaya, July 22, 2013 - August 11, 2025.
  3. Visiting Researcher, Institute of Mathematics, Technical University Berlin, October 2011 to April 2012
  4. Teaching Assistant as a research scholar in the department of mathematics at IIT Guwahati from 2008 to 2013

Sl No.  Name Member ID Category  Validity
1 Society for Industrial and Applied Mathematics 001067388 Regular December 31, 2025
2 SIAM Activity Group on Linear Algebra Membership      December 31, 2025
3 American Mathematical Society SHMNXZ Individual December 31, 2025
4 Indian Mathematical Society L/2016/33 Life member Lifetime
5 International Linear Algebra Society     February, 2026

Sl No. Award Details Year
1 The Amala Bezbaruah Memorial Prize 2004
2 IMU Berlin Einstein Foundation fellowship 2011

  1. Delivered a talk “On Lorentz Cone Semipositivity of Matrices” on 38th Annual Conference of the Ramanujan Mathematical Society, December 22-24, 2023, at Department of mathematics, IIT Guwahati
  2. Delivered a talk “Cone Theoretic Approach to Matrix Theory” on National Webinar on Some Emerging Areas in Pure Mathematics (online), September 16-17, 2022, at Department of Mathematics, St. Anthony’s College, Shillong.
  3. Delivered a talk “Various Classes of Matrices and their Properties and Applications” on Recent Advancement in Mathematics & Statistics (Online), November 06, 2021, Sankardev College Shillong.
  4. Delivered a talk “Linear Algebra” on Virtual Workshop on Collating Mathematics Resources for Teachers in Higher Education, National Institute of Educational Planning and Administration, October 7-8, 2020.
  5. Delivered a talk “LU-factorization of M-matrices” on National Conference on Recent Trends in Mathematics and its Applications 2019 (NCRTMA2019), Department of Mathematics, GITAM, Bengaluru, December 20-21, 2019.
  6. Delivered a talk “Nonnegative matrices : Theory and applications” on Workshop on matrices and graphs,  Department of Mathematics, SMIT, Sikkim,  January 2-7, 2017.
  7. Delivered a talk “Recent Trends in Linear Algebra” on Recent Trends in Mathematics and Research avenue for teachers at St. Anthony College, Shillong, November 26, 2016.