Research output per year
Research output per year
Personal profile
Professional Information
Dr. Umashankara Kelathaya is an Assistant Professor of Mathematics in the department of Mathematics, Manipal Institute of Technology, MAHE, Manipal.
His broad research area is Linear algebra and Matrix theory. He has published several articles in many reputed journals. He is a member of many societies including American Mathematical Society (AMS), International Linear Algebra Society (ILAS) etc. He served as a referee in many international journals including Linear and Multilinear Algebra. He has been part of organizing committee of several national & international conferences, national & international workshops, lecture series & theme meetings.
Research interests
Generalized Inverses, Matrix Partial Order, Matrix and Graph Methods
Experience
1. Lecturer in Mathematics, Karkala Jnanasudha Pre-University College, Ganit Nagar, Kukkundoor, Karkala, 1 year
2. Lecturer in Mathematics, St. Joseph Engineering College, Vamanjoor, Mangaluru, 1 year
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Collaborations and top research areas from the last five years
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Generalized Core-nilpotent Decomposition of Ring Elements
Varkady, S., Kelathaya, U. & Karantha, M. P., 09-2025, In: Indian Journal of Pure and Applied Mathematics. 56, 3, p. 1102-1109 8 p.Research output: Contribution to journal › Article › peer-review
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Generalized inverses in graph theory
Kelathaya, U., Bapat, R. B. & Prasad Karantha, M., 2023, In: AKCE International Journal of Graphs and Combinatorics. 20, 2, p. 108-114 7 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Matrix Partial Orders Based on the Secondary-Transpose
Kelathaya, U., Karantha, M. P. & Bapat, R. B., 2023, Indian Statistical Institute Series. Springer Science and Business Media B.V., p. 317-336 20 p. (Indian Statistical Institute Series; vol. Part F1229).Research output: Chapter in Book/Report/Conference proceeding › Chapter
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Drazin inverse and generalization of core-nilpotent decomposition
Varkady, S., Kelathaya, U. & Karantha, M. P., 2022, (Accepted/In press) In: Journal of Algebra and Its Applications. 23, 2, 2450041.Research output: Contribution to journal › Article › peer-review
1 Citation (Scopus) -
Inverse complements and strongly unit regular elements
Kelathaya, U., Varkady, S. & Karantha, M. P., 01-10-2022, In: Journal of Algebra and Its Applications. 21, 10, 2250190.Research output: Contribution to journal › Article › peer-review
3 Citations (Scopus)