Numerical Algorithms and Tensor Learning Laboratory

Ratikanta Behera

Journal Publications

50+ Total Journal Publications
1+ Conference Publications
15+ Preprints/Under Review
1 Book/Monograph

2025

S. Santra, R. Behera.
Physics-informed fractional machine intelligence and space-time wavelet frameworks for non-local integro-partial differential equations involving weak singularities.
Communications in Nonlinear Science and Numerical Simulation.
152, (2026), 109184
DOI
R. Behera, K. Panigrahy, J. K. Sahoo, and Y. Wei.
M-QR decomposition and hyperpower iterative methods for computing outer inverses of tensors.
Journal of Computational and Applied Mathematics.
474, (2026), 116951
DOI
S. Santra, R. Behera.
Wavelet-based L2-1_σ scheme and its higher-order convergence analysis for time-fractional option pricing model under jump-diffusion.
Mathematical Methods in the Applied Sciences
(Accepted) 2025
arXiv
B. Karmakar, R. Behera.
Efficient iterative methods for computing generalized inverse of tensors based on t-product.
Computational and Applied Mathematics
2025
DOI
S. Patel, S. Santra, R. Behera.
A hybrid numerical method for time-delayed fractional sub-diffusion equations with multi-singularities.
Numerical Algorithms
(2025)
DOI
K. Panigrahy, B. Karmakar, J. K. Sahoo, R. Behera, and R. N. Mohapatra.
Computation of M-QDR decomposition of tensors and applications.
Journal of Applied Mathematics and Computing.
(2025)
DOI
S. Santra, R. Behera.
Enhancing accuracy with an adaptive discretization for the non-local integro-partial differential equations involving initial time singularities.
Computers and Mathematics with Applications
192 (2025), 212-239.
DOI

2024

R. Behera, J. K. Sahoo, and Y. Wei.
Computation of outer inverse of tensors based on t-product.
Numerical Linear Algebra with Applications
Accepted (2024)
DOI
J. K. Sahoo, S. K. Panda, R. Behera, P. Stanimirovic.
Computations of Tensors Generalized Inverses under M-Product and Applications.
Journal of Mathematical Analysis and Applications
(2024)
DOI
S. Santra, R. Behera.
Simultaneous space-time Hermite wavelet framework for time-fractional nonlinear weakly singular integro-partial differential equations.
Communications in Nonlinear Science and Numerical Simulation
(2024)
DOI
R. Behera, J. K. Sahoo, P. S. Stanimirovic, A. Stupina, A. Stupin.
Computing Tensor Generalized bilateral inverses.
Communications on Applied Mathematics and Computation
(2024)
DOI

2023

R. Behera, D. Gerontitis, P. Stanimirovic, V. Katsikis, Y. Shi, Xinwei Cao.
An Efficient Zeroing Neural Network for Solving Time-Varying Nonlinear Equations.
Neural Computing and Applications
(2023)
DOI
B. Sitha; J. K. Sahoo; R. Behera; P. S. Stanimirovic; A. Stupina.
Generalized core-EP inverse for square matrices.
Computational and Applied Mathematics
(2023)
J.K. Sahoo, P. Boggarapu, R. Behera and M. Z. Nashed.
GD1 inverse and 1GD inverse for bounded operators on Banach spaces.
Computational and Applied Mathematics
(June 2023)
DOI
S. K. Panda; J. K. Sahoo; R. Behera; P. S. Stanimirovic; D. Mosic; A. A. Stupina.
The CEPGD-inverse for square matrices.
Bulletin of the Iranian Mathematical Society
2023
DOI
P. K. Sahu, K. S. Patel and R. Behera.
Three-time levels compact scheme for pricing European options under regime switching jump-diffusion models.
Proceedings of the Ninth International Conference on Mathematics and Computing. ICMC 2023 2023. Lecture Notes in Networks and Systems, vol 697. Springer, Singapore.
(2023)
DOI
P. Stanimirovic, D. Mosic, A. Stupina, R. Behera.
Solving matrix approximation problems using generalized inverses.
Book - Moscow: INFRA-M
2023. - 165 p. - (Scientific Idea). ISBN 978-5-16-019628-2.

2022

D. Gerontitis, R. Behera, Y. Shi, P. S. Stanimirovic.
A Robust Noise Tolerant Zeroing Neural Network for Solving Time-Varying Linear Matrix Equations.
Neurocomputing
(2022)
DOI
D. Gerontitis, R. Behera, P. Tzekis, P. Stanimirovic.
A Family of Varying-Parameter Finite-Time Recurrent Neural Networks for Time-Varying Sylvester Equation and its Application.
Journal of Computational and Applied Mathematics
403, (2022), 113826
DOI
R. Behera, G. Maharana, J. K. Sahoo, P. S. Stanimirovic.
Characterizations of the Weighted Core-EP Inverses.
Bulletin of the Iranian Mathematical Society.
2022
DOI
B. Sitha, J. K. Sahoo, and R. Behera.
Characterization of Weighted (b, c) Inverse of an Element in a Ring.
FILOMAT, Vol. 36, No. 14 (2022), pp. 4629-4644 (16 pages)
DOI
S. Das, J. K. Sahoo, and R. Behera.
Further results on weighted core inverse in a ring.
Linear and Multilinear Algebra
2022
DOI

2013-2021

D. Gerontitis, R. Behera, J. K. Sahoo, P. Stanimirovic.
Improved finite-time zeroing neural network for time-varying division.
Studies in Applied Mathematics
2021; 146: 526-549
DOI
R. Behera, J. K. Sahoo, R. N. Mohapatra, and M. Z. Nashed.
Computation of Generalized Inverses of Tensors via t-Product.
Numerical Linear Algebra with Applications
(2021)
DOI
P. Stanimirovic, D. Gerontitis, P. Tzekis R. Behera, J. K. Sahoo.
Simulation of Varying Parameter Recurrent Neural Network with application to matrix inversion.
Mathematics and Computers in Simulation.
(2021)
DOI
P. S. Stanimirovic, J. R. Sendra, R. Behera, J. K. Sahoo, D. Mosic; J. Sendra, A. Lastra.
Computing tensor generalized inverses via specialization and rationalization.
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matematicas.
(2021)
DOI
D. Mosic, P. S. Stanimirovic, J. K. Sahoo, R. Behera, and V. N. Katsikis.
One-sided weighted outer inverses of tensors.
Journal of Computational and Applied Mathematics (2021) 113293
DOI
R. Behera, G. Maharana, and J. K. Sahoo.
Further results on weighted core-EP inverse of matrices.
Results in Mathematics, 75, 174 (2020)
DOI
R. Behera, D. Mosic, J. K. Sahoo, and P. S. Stanimirovic.
Weighted Inner Inverse for Rectangular Matrices.
Quaestiones Mathematicae, (2020)
DOI
R. Behera, S. Maji, and R. N. Mohapatra.
Weighted Moore-Penrose inverses of arbitrary-order tensors.
Computational and Applied Mathematics. 39, 284, (2020)
DOI
R. Behera, A. K. Nandi, and J. K. Sahoo.
Further results on the Drazin inverse of even-order tensors.
Numerical Linear Algebra with Applications (2020)
DOI
J. K. Sahoo, R. Behera, P. S. Stanimirovic and V. N. Katsikis.
Computation of outer inverses of tensors using the QR decomposition.
Computational and Applied Mathematics. (2020)
DOI
R. Behera and J. K. Sahoo.
Generalized Inverses of Boolean Tensors via Einstein Product.
Linear and Multilinear Algebra (2020)
DOI
J. K. Sahoo and R. Behera
Reverse-order law for core inverse of tensors.
Computational and Applied Mathematics, 39(97), (2020).
DOI
J. K. Sahoo, R. Behera, P. S. Stanimirovic, V. N. Katsikis, and H. Ma.
Core and Core-EP Inverses of Tensors.
Computational and Applied Mathematics. (2020)
DOI
J. K. Sahoo, R. Behera, P. S. Stanimirovic and V. N. Katsikis.
Computation of outer inverses of tensors using the QR decomposition.
Computational and Applied Mathematics. (2020)
DOI
R. Behera, S. Meignen, and T. Oberlin.
Theoretical analysis of the second-order synchrosqueezing transform.
Applied and Computational Harmonic Analysis
45 (2018) 379-404
DOI
R. Behera and M. Mehra.
Integration of Barotropic Vorticity Equation Over Spherical Geodesic Grid using Multilevel Adaptive Wavelet Collocation Method.
Applied Mathematical Modelling
37 (2013) 5215-5226
DOI

Preprints / Under Review

H. Pandey, A. Singh, R. Behera.
An efficient wavelet-based physics-informed neural networks for singularly perturbed problems.
Preprint
arXiv:2409.11847
arXiv
R. Behera, S. K. Panda, J. K. Sahoo.
Two-step parameterized tensor-based iterative methods for solving AXB=C.
Preprint
arXiv:2502.03921
arXiv
B. Karmakar, R. N. Mohapatra, and R. Behera.
Robust low-rank tensor completion via nonconvex weighted correlated total variation and sparse regularization.
Under Review
Submitted 2025
N. Bhadala and R. Behera.
Generalized inverses of the quaternion matrices with applications.
Under Preparation
In Progress