An inversion-free iterative method to find the optimal approximate solution of the nonlinear tensor equation $${\mathcal {X}}- {\mathcal {B}}*_n({\mathcal {X}}^{-1}+{\mathcal {A}})^{-1}*_n{\mathcal {B}}^{T}={\mathcal {I}}$$

Raziyeh Erfanifar; Masoud Hajarian

doi:10.1007/s40314-025-03252-5

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An inversion-free iterative method to find the optimal approximate solution of the nonlinear tensor equation $${\mathcal {X}}- {\mathcal {B}}_n({\mathcal {X}}^{-1}+{\mathcal {A}})^{-1}_n{\mathcal {B}}^{T}={\mathcal {I}}$$

Raziyeh Erfanifar Masoud Hajarian

Year: 2025 Journal: Computational and Applied Mathematics Vol: 44 (6) Publisher: Springer Science+Business Media

DOI: 10.1007/s40314-025-03252-5

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Keywords:

Mathematical physics Nonlinear system Tensor (intrinsic definition) Inversion (geology) Combinatorics Mathematics Physics Pure mathematics Quantum mechanics Geology

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Tensor decomposition and applications

Physical Sciences → Mathematics → Computational Mathematics

Matrix Theory and Algorithms

Physical Sciences → Computer Science → Computational Theory and Mathematics

Electromagnetic Scattering and Analysis

Physical Sciences → Physics and Astronomy → Atomic and Molecular Physics, and Optics

An inversion-free iterative method to find the optimal approximate solution of the nonlinear tensor equation $${\mathcal {X}}- {\mathcal {B}}_n({\mathcal {X}}^{-1}+{\mathcal {A}})^{-1}_n{\mathcal {B}}^{T}={\mathcal {I}}$$

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An inversion-free iterative method to find the optimal approximate solution of the nonlinear tensor equation $${\mathcal {X}}- {\mathcal {B}}*_n({\mathcal {X}}^{-1}+{\mathcal {A}})^{-1}*_n{\mathcal {B}}^{T}={\mathcal {I}}$$

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