Nonlinear-solvers.md

@@ -92,9 +92,9 @@ Equivalently, one can solve
 
 ### Picard method
 
-When the nonlinear function is of the form $`\mathbf{F}(\mathbf{x}) := \mathbf{A}(\mathbf{x}) \mathbf{x} - \mathbf{b}`$, given an initial guess $`\mathbf{x}_0`$, Picard's method consists in computing the successive iterates $`\mathbf{x}_k`$ such that
+When the nonlinear function is of the form $`\mathbf{F}(\mathbf{x}) := \mathbf{A}(\mathbf{x}) \mathbf{x} - \mathbf{b}(\mathbf{x})`$, given an initial guess $`\mathbf{x}_0`$, Picard's method consists in computing the successive iterates $`\mathbf{x}_k`$ such that
 ```math
-\mathbf{A}(\mathbf{x}_{k-1}) \mathbf{x}_k = \mathbf{b},
+\mathbf{A}(\mathbf{x}_{k-1}) \mathbf{x}_k = \mathbf{b}(\mathbf{x}_{k-1}),
 \quad k = 1, 2, ...
 ```