My research interest is in tensor computation. Tensors are higher-order generalizations of vectors and matrices.
In particular, a scalar is a zeroth-order tensor, a vector is a first-order tensor, and a matrix is a second-order tensor.
Research interests:
- Tensor theory
- Generalized inverses of tensors and their applications
- Structured tensors
- Hypergraphs
Research Profiles:
Google
Scholar
Scopus
ORCiD
MathSciNet
Web of Science
ResearchGate
Recent Publications
- Snigdhashree Nayak, Krushnachandra Panigrahy, Debasisha Mishra, Nachiketa Mishra.
"A note on eigenvalue of tensors and its application."
Applications of Mathematics
(2025) https://doi.org/10.21136/AM.2025.0022-25
- Ratikanta Behera, Krushnachandra Panigrahy, Jajati Keshari Sahoo and Yimin Wei.
"M-QR decomposition and hyperpower iterative methods for computing outer inverses of tensors."
Journal of Computational and Applied Mathematics
474 (2026): 116951. [
arXiv
]
- Krushnachandra Panigrahy, Biswarup Karmakar, Jajati Keshari Sahoo, Ratikanta Behera and Ram N. Mohapatra.
"Computation of M-QDR decomposition of tensors and applications."
Journal of Applied Mathematics and Computing
71 (2025) 437–462. https://doi.org/10.1007/s12190-025-02487-z
- Nirmal Chandra Rout, Krushnachandra Panigrahy, and Debasisha Mishra.
"A note on numerical ranges of tensors."
Linear and Multilinear Algebra
71 (16) (2023): 2645-2669.
- Krushnachandra Panigrahy, and Debasisha Mishra.
"A note on a faster fixed point iterative method."
The Journal of Analysis
31 (1) (2023): 831-854.
Work Experience and Education
- Aug 2025 - Present: Assistant Professor,
Department of Mathematics,
SRM University-AP,
Andhra Pradesh.
- Aug 2024 - Jul 2025: Post-Doctoral Fellow,
Department of Mathematics,
Indian Institute of Technology, Gandhinagar,
Gujarat.
Mentor:
Dr. Projesh Nath Choudhury
- Jun 2023 - Jul 2024: Research Associate,
Department of Computational and Data Sciences,
Indian Institute of Science, Bangalore,
Karnataka.
Mentor:
Dr. Ratikanta Behera
- Mar 2022 - May 2023: Assistant Professor,
Department of Mathematics,
K L University, Hyderabad,
Telangana.
- Oct 2021 - Mar 2022: Guest Faculty,
Department of Mathematics,
Central University of Odisha, Koraput,
Odisha.
- Aug 2017 - Dec 2021: PhD in Mathematics, Department of Mathematics, NIT Raipur,
Chhatisgarh.
Advisor:
Dr. Debasisha Mishra
Reviewer/Referee work
Review work:
Referee work:
- Filomat
- IEEE Transactions on Signal Processing
- Journal of Computational and Applied Mathematics
- Journal of Mathematics
- Symmetry
