... | ... | @@ -67,7 +67,8 @@ $`\gamma_{k+1}`$ can be introduced at each iteration, leading to a modified new |
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\mathbf{\delta x}_{k+1}`$.
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When the nonlinear function $`\mathbf{F}(\mathbf{x})`$ has the particular form
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$`\mathbf{F}(\mathbf{x}) := \mathbf{A}(\mathbf{x}) \mathbf{x} - \mathbf{b}`$,
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$`\mathbf{F}(\mathbf{x}) := \mathbf{A}(\mathbf{x}) \mathbf{x} - \mathbf{b}`$ (i.e.
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involves a square $`N\timesN`$ matrix $`\mathbf{A}`$ whose entries depend on $`\mathbf{x}`$),
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the Newton-Raphson iteration becomes
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```math
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\mathbf{J}(\mathbf{x}_k) \mathbf{\delta x}_{k+1}
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