Mathematics

Head of Department

Dr. Tikaram Subedi
Ph.D(NEHU)

E-mail:
hod.ma@nitm.ac.in

Faculty

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Dr. Manideepa Saha Associate Professor

Ph.D, IIT Guwahati

manideepa.saha@nitm.ac.in
https://nitmeghalaya.irins.org/profile/101600

Research Interest

Linear Algebra and Matrix theory

Education Qualification

Ph.D, IIT Guwahati

Publications

    International Journals:


    1. Aritra Narayan Hisabia and Manideepa Saha, Sign patterns of semimonotone matricesLinear 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 NameTitlePublisherISBN NoPagesYear
    1M. SahaIterative 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/10.1007/978-3-319-49984-0Springer978-3-319-49982-6241-2512016
    2M. SahaNonnegative Matrices and Generalized M-matrices: A Combinatorial StudyLAMBERT Academic Publishing973-3-330-34687-11-1442017


    Project


    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

    2019-2021Completed

    Minor


    Students' Guided/Guiding

    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

    Conference/Workshop/GIAN Course organized


    Sl no. TitleSponsoring/ Funding AgencyNational /InternationalRoleDate & Place
    1

    GIAN Course on  Matrix Classes in Solving the Linear Complementarity Problem (191040K01)

    GIAN & MoEInternational CoordinatorDecember 12-16, 2022 at NIT Meghalaya
    2Short 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



    Conference/Workshop Attended

    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.

    Courses Taught

    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)

    Work Experience

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

    Professional Membership

    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

    Awards

    Sl No.Award DetailsYear
    1The Amala Bezbaruah Memorial Prize2004
    2IMU Berlin Einstein Foundation fellowship2011

    Invited Talks

    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.