... | ... | @@ -77,12 +77,12 @@ the Newton-Raphson iteration becomes |
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```
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with
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```math
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\mathbf{J}(\mathbf{x})_{ij}
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= \frac{\partial(\mathbf{A}(\mathbf{x})\mathbf{x})_i}{\partial\mathbf{x}_j}
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- \frac{\partial\mathbf{b}(\mathbf{x})_i}{\partial\mathbf{x}_j}
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= \frac{\partial\mathbf{A}(\mathbf{x})_{ij}}{\partial\mathbf{x}_j}
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+ \mathbf{A}(\mathbf{x})_{ij}
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- \frac{\partial\mathbf{b}(\mathbf{x})_i}{\partial\mathbf{x}_j}.
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\mathbf{J}(\mathbf{x})
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= \frac{\partial(\mathbf{A}(\mathbf{x})\mathbf{x})}{\partial\mathbf{x}}
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- \frac{\partial\mathbf{b}(\mathbf{x})}{\partial\mathbf{x}}
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= \frac{\partial\mathbf{A}(\mathbf{x})}{\partial\mathbf{x}}
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+ \mathbf{A}(\mathbf{x}) \mathbf{x}
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- \frac{\partial\mathbf{b}(\mathbf{x})}{\partial\mathbf{x}}.
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```
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Equivalently, one can solve
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```math
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