On solution and perturbation estimates for the nonlinear matrix equation $$X-A^{*}e^{X}A=I$$ X - A ∗ e X A = I
Abstract This work incorporates an efficient inversion free iterative scheme into Newton’s method to solve Newton’s step regardless of the singularity of the Fr $${\acute{\text {e}}}$$ e ´ chet derivative. The proposed iterative scheme is constructed by extending the idea of the foundational form of...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of the Egyptian Mathematical Society |
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| Online Access: | https://doi.org/10.1186/s42787-022-00152-z |