Mathematics

Head of Department

Dr. Bidyasagar Kumbhakar
Ph. D, IIT(ISM)

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

Faculty

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Dr. Manideepa Saha Assistant Professor

Ph.D, IIT Guwahati

manideepa.saha@nitm.ac.in
9485177032

Research Interest

Linear Algebra and Matrix theory

Education Qualification

Ph.D, IIT Guwahati

Publications

    • International Journals:

        1.  A. N. Hisabia and M. Saha, Algebraic and Geometric Properties of   Ln+-semipositive matrices and Ln+-semipositive cones,  To be appeared in Linear Algebra and its Application, 2023
        2. J. Chakravarty and M. Saha,  Generalization of Interval Jacobi and Gauss-Seidel Methods for Interval Linear System,  Journal of Computational Analysis and Applications,, 2023, Vol. 31(3) , 345-365
        3.  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
        4. A. Mustafa and M. Saha,  A  generalized projection iterative method for solving non-singular linear systems,  Mathematical Foundations of Computing, 2022, Vol. 5(4) , 343-350doi: 10.3934/mfc.2022009
        5. J. Chakravarty, A. Athikho  and M. Saha, Convergence of Internal AOR Method for Linear  Interval Equations, Numerical Algebra, Control and Optimization, 2022,  Vol. 12(2), 293-308.
        6.  M. Saha, On Some Generalized inverses of M_v-matrices, Operator and Matrices, Vol. 15 (2021), 1227-1240.
        7.  A. Hisabia and M. Saha, On Properties of Semipositive Cones and Simplicial Cones,   Electron. J. Linear Al., Vol. 36 (2020), 764-772
        8. M. Saha and J. 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
        9. M. Saha, Iterative Method for Linear System with Coefficient Matrix as an M_v -matrix, Applied and Computational Matrix AnalysisMAT-TRIAD: International Conference on Matrix Analysis and its Applications,(2016): 241-251, https://link.springer.com/book/10.1007/978-3-319-49984-0
        10. M. Saha and S. Bandopadhyay, Combinatorial properties of generalized M- matrices, Electron. J. Linear Al., 30 (2015): 550-576. http://repository.uwyo.edu/cgi/viewcontent.cgi?article=1974&context=ela
        11. V. Mehrmann and M. Saha, The Frobenius-Jordan form of nonnegative matrices, Preprint, TU Berlin, Vol.-Preprint 2012/21(2012). www3.math.tu-berlin.de/preprints/files/MehS12_ppt.pdf



    Books:

    Sl No.Author NameTitlePublisherISBN NoPagesYear
    1M. SahaIterative method for linear system with coefficient matrix as an M_v -matrixSpringer978-3-319-49982-6241-2512016
    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
    Ongoing

    Sponsored

    3
    On LU-factorization of Generalized M-matrices
    Manideepa Saha
    NA
    DAE-NBHM
    1433600
    2018-2021
    Ongoing
    Sponsored
    4

    A study on interval methods for system of equations

    Manideepa Saha
    NA
    TEQIP-III

    152250

    2019-2021Completed

    Minor


    Conference/Workshop Attended

    1. Virtual Workshop on Collating Mathematics Resources for Teachers in Higher Education(online), October 7-8, 2020,  at National Institute of Educational Planning and Administration
    2. "On Semipositive Cones and their Extremals" presented  on Alumni Symposium On Mathematics And Computing (Online),  September 19-20, 2020 at IIT Guwahati
    3. National Conference on Recent Trends in Mathematics and its Applications 2019 (NCRTMA2019) on December 20-21, 2019 at Department of Mathematics, GITAM Bengaluru
    4. "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.
    5. Summer Training Program on Active Learning for Senior Faculty held during July 2-6, 2018 at IIT Indore, India
    6. Workshop on Outcome Based Accreditation (Challenges and Opportunities) at NIT Meghalaya during September 22-23, 2018 at NIT Meghalaya.
    7. Attended GIAN course on “Matrices with Positive Principal Minors: Theory and Applications” in the period December 18-22, 2017
    8.  “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.
    9.  Attended “Workshop on matrices and graphs”, January 2-7, 2017, SMIT, Sikkim, India.
    10.  Attended workshop “Indian Women & Mathematics : Regional Workshop on Research and Opportunity” held in the period February 19-20, 2016, IIT Guwahati, India.
    11.  Attended workshop on “Accreditation and Transformation of Technical Education” held in the period January 22-23, 2016, NIT Meghalaya, India.
    12. Attended workshop on “Mathematical Analysis and its Applications to Engineering”,held in the period January 02-04, 2016, IIT Guwahati, India.
    13.  “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.
    14. “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.
    15.  Attended workshop on “EngineeringCurriculum and Instructional Design” held in the period June 5-7,2014, NIT Meghalaya.
    16.  “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.
    17. “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.
    18. Advanced Training workshop on Numerical Linear Algebra, December 7-13, 2012, at IIT Guwahati.
    19. Advanced Instructional School on Numerical Linear Algebra , December 2-22, ,2010. at IIT Guwahati.

    Courses Taught

    Current Semester (Autumn 2022/Spring 2023)

    1. Differential Calculus and Linear Algebra (MA101), Autumn 2022
    2. Complex Analysis (MA 402), Spring 2023
    3. Analysis (MA702), Spring 2023


    Previous/Other Semester/Year

    BTech-Courses:

    • Mathematics-I/ Differential Calculus and Linear Algebra (MA101)
    • Mathematics II (MA102)
    • 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)
    •  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)

    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.

    Ongoing Ph.d students

    1.  Ashif Mustafa
    2. Aritra N. Hisabia
    3. Jahnabi Chakravarty (Project Staff)

    Ongoing M. Sc students

    1. Santoshi Subhalaxmi Ray (Topic: Numerical methods for solving optimisation problems )

    Guided M.Sc Students

    1. Ashish Mahanta, Topic: Projection methods for solving linear systems, Year: 2021-22.
    2. Shashikant Pandey, Topic: On Generalized metric spaces, Year: 2020-21
    3. Sabi Biswas, Topic: Linear complementarity problem and Semimonotone matrices, Year:2019-20
    4. Pujashree Buragohain, Topic: LU- and block LU-factorization of M-Matrices, Year: 2019-20
    5. Ashiho Athiko , Topic:  Interval methods for systems of equations, Year: 2018-19
    6. Jahnabi Chakravarty, Topic: Iterative Methods for Solving System of Linear Equations, Year: 2017-18

    Work Experience

    • Assistant Professor, Department of Mathematics, National Institute of Technology Meghalaya, July 2013 - till date
    • 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.NameMember IDCategoryValidity
    1Society for Industrial and Applied Mathematics1067388IndividualDecember 31, 2022
    2American Mathematical SocietySHMNXZIndividualDecember 31, 2022
    3Indian Mathematical SocietyL/2016/33Life memberlifetime

    Awards

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

    Invited Talks

    Sl No.TitleEventInvited Talks/TutorialCo-Speakers

    1

    Linear Algebra

    Virtual Workshop on Collating Mathematics Resources for Teachers in Higher Education,  National Institute of Educational Planning and Administration, October 7-8, 2020, 

    Resourse Person
    2LU-factorization of M-matrices

    National Conference on Recent Trends in Mathematics and its Applications 2019 (NCRTMA2019), Department of Mathematics, GITAM, Bengaluru, , December 20-21, 2019, 

    Resourse Person
    3Nonnegative matrices : Theory and applicationsWorkshop on matrices and graphs,  Department of Mathematics, SMIT, Sikkim,  January 2-7, 2017Resourse Person
    4Recent Trends in Linear AlgebraRecent Trends in Mathematics and Research avenue for teachers at St. Anthony College, Shillong, November 26, 2016

    Invited talk