Numerical Algorithms and Tensor Learning Laboratory

Ratikanta Behera

Journal Publications

55+ Total Journal Publications
1+ Conference Publications
10+ Preprints/Under Review
1 Book/Monograph

2026

H. Pandey, A. Singh, R. Behera.
An efficient wavelet-based physics-informed neural network for multiscale problems.
Neural Networks
DOI
A. Panchal, R. Behera, and J. K. Sahoo
Tensor decomposition and neural architectures through generalized Hadamard products.
Neurocomputing
DOI
A. Panchal, and R. Behera.
RGDBEK: Randomized Greedy Double Block Extended Kaczmarz Algorithm with Hybrid Parallel Implementation and Applications.
Numerical Linear Algebra with Applications. 2026
DOI
B. Karmakar and R. Behera.
Robust Low-Rank Tensor Completion based on M-product with Weighted Correlated Total Variation and Sparse Regularization.
Applied Mathematics and Computation
DOI
R. Behera, S. K. Panda, and J. K. Sahoo.
Two-step parameterized tensor-based iterative methods for solving AXB=C.
IMA Journal of Numerical Analysis
Accepted
R. Raj, A. Srivastava, and R. Behera.
Automation - Augmentation of Artificial Intelligence and Human Intelligence.
Technovation
DOI
K. Panigrahy, R. Behera, and J. K. Sahoo.
Projection-based iterative methods for solving multilinear systems.
Computational and Applied Mathematics. 2026
DOI
S. Patel, R. Behera, and R. N. Mohapatra.
The wavelet solutions for the Fredholm integral equations.
Journal of Applied Mathematics and Computing, 72, 122 (2026)
DOI

2025

S. Ghodake, R. Behera and P. S. Stanimirovic.
Zeroing neural network model for finding Moore Penrose inverse of time-varying tensors with applications in imaging.
Neurocomputing
DOI
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
DOI
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.
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. 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
DOI
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. 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
DOI

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. 403, (2022), 113826
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
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
B. Sitha, R. Behera, J. K. Sahoo, R. N. Mohapatra, P. S. Stanimirovic, and Alena Stupina.
Characterizations of Weighted Generalized Inverses.
Aequationes mathematicae. 99, 1301–1336 (2025).
DOI
K. Panigrahy, R. Behera, and D. Mishra.
Reverse order law for the Moore-Penrose inverses of tensors.
Linear and Multilinear Algebra, 68(2), 2020, 246-264
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. Maulik, O. San, and R. Behera.
An adaptive multilevel wavelet framework for scale-selective WENO reconstruction schemes.
International Journal for Numerical Methods in Fluids, 87(5) (2018) 239-269.
DOI
R. Behera, and M. Mehra.
An adaptive wavelet collocation method for solution of the convection dominated problem on the sphere.
International Journal of Computational Methods, 15(1) (2018) 1850080-1850098
DOI
R. Behera and M. Mehra.
Approximation of the differential operators on an adaptive spherical geodesic grid using spherical wavelets.
Mathematics and Computers in Simulation, 132 (2017) 120-138.
DOI
R. Behera, and D. Mishra.
Further results on generalized inverses of tensors via Einstein product.
Linear and Multilinear Algebra. 65(8) (2017) 1662-1682
DOI
R. Behera, M. Mehra and N. K. R. Kevlahan.
Multilevel Approximation of the Gradient Operator on an Adaptive Spherical Geodesic Grid.
Advances in Computational Mathematics, 41(3) (2015) 663-689.
DOI
R. Behera and M. Mehra.
A Dynamic Adaptive Wavelet Method for Solution of the Schrodinger Equation.
Journal of Multiscale Modelling, 06 (1) (2015) 1450001-1430023.
DOI
R. Behera and M. Mehra.
Approximate solution of Modified Camassa-Holm and Degasperis-Procesi Equations using Wavelet optimized finite difference method.
Int. J. Wavelets Multiresolut. Inf. Process.11 (2013) 1350019
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 and R. Behera.
LiNO: Lifting based multiresolution neural operator.
Preprint
arXiv
H. Pandey and R. Behera.
An adaptive wavelet-based PINN for problems with localized high-magnitude source.
Preprint
arXiv
A. Panchal, and R. Behera.
Second-Generation Wavelet-inspired Tensor Product with Applications in Hyperspectral Imaging.
Preprint
arXiv
N. Bhadala and R. Behera.
Structure Preserving Algorithms for Quaternion Outer Inverses with Applications.
Preprint
arXiv
B. Karmakar and R. Behera.
Quaternion Nonlinear Transform-Induced Nuclear Norm for Low-Rank Tensor Completion.
Preprint
arXiv
B. Karmakar, N. Bhadala, and R. Behera.
A Family of Iterative Methods for Computing Generalized Inverses of Quaternion Matrices and its Applications.
Preprint
arXiv
D. Gupta, H. Pandey, and R. Behera.
Wavelet-Accelerated Physics-Informed Quantum Neural Network for Multiscale Partial Differential Equations.
Preprint
arXiv
D. Gupta and R. Behera.
Quantum Physics-Informed Neural Networks for Solving Integro and Fractional PDEs.
Preprint
arXiv
R. Behera, J. K. Sahoo, S. Das, R. N. Mohapatra, and S. K. Prajapati.
Generalized Core Inverse in a proper *-ring.
Preprint
arXiv
B. Yadav, M. Mohanty, R. Behera, and S. K. Mohanty.
A hybrid wavelet-based physics-informed neural network for portfolio management.
Preprint
arXiv

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