Mathematics

Head of Department

Dr. Adarsha Kumar Jena
Ph.D(NIT Rourkela)

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
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, 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
    2. Ashif Mustafa and Manideepa Saha, A two-dimensional randomized extended Gauss-Seidel algorithm, Numerical Algorithms, (2023), https://doi.org/10.1007/s11075-023-01661-3
    3.  Jahnabi Chakravarty and Manideepa Saha, Generalized interval AOR method for solving interval linear equations, Mathematical Foundation of Computing, (2023), doi: 10.3934/mfc.2023035
    4. 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.
    5. 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. 
    6.  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
    7. 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
    8. 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.
    9.  Manideepa Saha, On Some Generalized inverses of M_v-matrices, Operator and Matrices, Vol. 15 (2021), 1227-1240.
    10. Aritra Narayan Hisabia and Manideepa Saha, On Properties of Semipositive Cones and Simplicial Cones,   Electronic Journal of  Linear Algebra, Vol. 36 (2020), 764-772
    11.  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
    12. 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 Iterative Methods to Solve Large Linear Systems: Date of submission: 19.12.2023. 

    Ongoing Ph.d students

    1. Sovrin Pal
    2. Bikash Bayan
    3. Subham Saha

    Ongoing M. Sc students

    1. Sangeeta  Saikia 

    Guided M.Sc Students

    1. Santoshi Subhalaxmi Ray, Topic: Numerical methods for solving optimization problems , Year: 2022-23
    2. Ashish Mahanta, Topic: Projection methods for solving linear systems, Year: 2021-22.
    3. Shashikant Pandey, Topic: Fixed Point Theorems on Generalized Metric Spaces, Year: 2020-21
    4. Sabi Biswas, Topic: Linear complementarity problem and Semimonotone matrices, Year:2019-20
    5. Pujashree Buragohain, Topic: LU- and block LU-factorization of M-Matrices, Year: 2019-20
    6. Ashiho Athiko , Topic:  Interval methods for systems of equations, Year: 2018-19
    7. 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. 38th Annual Conference of the Ramanujan Mathematical Society, Dept. of Mathematics, IIT Guwahati, December 22-24, 2023.
    2. Virtual Workshop on Collating Mathematics Resources for Teachers in Higher Education(online), October 7-8, 2020,  at National Institute of Educational Planning and Administration
    3. "On Semipositive Cones and their Extremals" presented  on Alumni Symposium On Mathematics And Computing (Online),  September 19-20, 2020 at IIT Guwahati
    4. National Conference on Recent Trends in Mathematics and its Applications 2019 (NCRTMA2019) on December 20-21, 2019 at Department of Mathematics, GITAM Bengaluru
    5. "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.
    6. Summer Training Program on Active Learning for Senior Faculty held during July 2-6, 2018 at IIT Indore, India
    7. Workshop on Outcome Based Accreditation (Challenges and Opportunities) at NIT Meghalaya during September 22-23, 2018 at NIT Meghalaya.
    8. Attended GIAN course on “Matrices with Positive Principal Minors: Theory and Applications” in the period December 18-22, 2017
    9.  “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.
    10.  Attended “Workshop on matrices and graphs”, January 2-7, 2017, SMIT, Sikkim, India.
    11.  Attended workshop “Indian Women & Mathematics : Regional Workshop on Research and Opportunity” held in the period February 19-20, 2016, IIT Guwahati, India.
    12.  Attended workshop on “Accreditation and Transformation of Technical Education” held in the period January 22-23, 2016, NIT Meghalaya, India.
    13. Attended workshop on “Mathematical Analysis and its Applications to Engineering”,held in the period January 02-04, 2016, IIT Guwahati, India.
    14.  “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.
    15. “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.
    16.  Attended workshop on “EngineeringCurriculum and Instructional Design” held in the period June 5-7,2014, NIT Meghalaya.
    17.  “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.
    18. “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.
    19. Advanced Training workshop on Numerical Linear Algebra, December 7-13, 2012, at IIT Guwahati.
    20. 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)
    • 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)

    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

    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.