... | ... | @@ -49,7 +49,7 @@ where |
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\end{array} \right]
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```
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is the Jacobian matrix, i.e. $`\mathbf{J}(\mathbf{x})_{ij} = \frac{\partial\mathbf{F}(\mathbf{x})_i}
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{\partial\mathbf{x}_j}`$. In practice the Jacobian matrix $`\mathbf{J}(\mathbf{x})`$ is not
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{\partial\mathbf{x}_j}`$. In practice the Jacobian matrix $`\mathbf{J}(\mathbf{x}_k)`$ is not
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inverted and at each iteration the following linear system is solved instead in
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terms of the unknown $`(\mathbf{x}_{k+1} - \mathbf{x}_k)`$:
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```math
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... | ... | |