B. Kumar

About

I have successfully completed my Ph.D. in Mathematics under the esteemed guidance of Dr. Deepmala and Dr. Arup Kumar Das in the Department of Mathematics at IIITDM Jabalpur, Madhya Pradesh, India. Currently, I have joined the Department of Economics at IIT Kanpur as a Senior Research Fellow (Research Associate).
Driven by a strong passion for research, I am continually working to enhance my mathematical skills and engage in high-level academic interactions with renowned professors, which I believe are essential for advancing my future research endeavors. With unwavering dedication and a commitment to excellence, I aspire to make meaningful contributions to the field.
My primary research interests lie in developing innovative iterative methods for solving various complementarity problems, including linear complementarity problems, implicit complementarity problems, horizontal linear complementarity problems, and tensor complementarity problems. At present, I am also actively working in the exciting field of Auction Theory, exploring its theoretical and practical dimensions to broaden the impact of my research. I am deeply committed to pushing the frontiers of knowledge and contributing significantly to the academic and research community.

Employment

• IIT Kanpur Post Doctoral Fellow
  2026 - Present
• Indian Institute of Technology Kanpur Sr. Research Fellow (Project employee)
  2024 - Present

Education

• Indian Institute of Information Technology Design and Manufacturing Jabalpur Ph.D. (Pursuing)
  2019 - Present
• National Institute of Technology Rourkela Master in Science (M.Sc.)
  2015 - 2017
• Chhatrapati Shahu Ji Maharaj University Bachelor of Science (B.Sc.)
  2013 - 2015

Projects & Funding

Projects & funding information is unavailable.

Publications (14)

• New relaxation modulus-based iterative method for large and sparse implicit complementarity problem
  Journal of Computational and Applied Mathematics 2026 DOI: 10.1016/j.cam.2026.117506
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• Generalized Modulus-Based Iterative Method With Acceleration Parameter For Large-Scale Sparse Linear Complementarity Problems
  Boletim da Sociedade Paranaense de Matemática 2026 DOI: 10.5269/bspm.83730
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• More on projected type iteration method and linear complementarity problem
  Proceedings - Mathematical Sciences 2025 DOI: 10.1007/s12044-025-00844-3
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• More on modulus based iterative method for solving large and sparse implicit complementarity problem
  Annals of Operations Research 2025 DOI: 10.1007/s10479-025-06743-0
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• Numerical exploration of two generalized iteration methods for solving nonlinear complementarity problems
  Journal of Applied Mathematics and Computing 2025 DOI: 10.1007/s12190-024-02334-7
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• New accelerated modulus-based iteration method for solving large and sparse linear complementarity problem
  Journal of Numerical Analysis and Approximation Theory 2024 DOI: 10.33993/jnaat531-1370
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• More on equivalent formulation of implicit complementarity problem
  International Journal of Applied Operational Research 2024 DOI: 10.71885/IJORLU-2024-1-675
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• A note on fixed point method and linear complementarity problem
  Journal of Numerical Analysis and Approximation Theory 2023 DOI: 10.33993/jnaat521-1290
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• More on matrix splitting modulus-based iterative methods for solving linear complementarity problem
  OPSEARCH 2023 DOI: 10.1007/s12597-023-00634-3
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• Projected fixed point iterative method for large and sparse horizontal linear complementarity problem
  Indian Journal of Pure and Applied Mathematics 2023 DOI: 10.1007/s13226-023-00403-4
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