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In this paper, we focus on multi-linear systems of equations with a third-order CP-decomposed coefficient tensor, applying the LU decomposition on its factor matrices, a more easily solvable system is… Click to show full abstract
In this paper, we focus on multi-linear systems of equations with a third-order CP-decomposed coefficient tensor, applying the LU decomposition on its factor matrices, a more easily solvable system is obtained. Also, a result on the number of solutions for a multi-linear system with a CP-decomposed tensor is given for different ranks of tensors and an application of the proposed algorithm for solving nonlinear systems is presented. In the end, numerical results are provided.
Keywords:
nonlinear systems;
systems equations;
solving nonlinear;
third order;
tensor
Journal Title: Journal of Scientific Computing
Year Published: 2022
Link to full text (if available)
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Journal Title: Journal of Scientific Computing
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!