Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.3 Tangent Planes and Linear Approximations, #37 · Multivariable Calculus · Partial derivatives

Apply Newton’s method to a linear problem:

Apply Newton’s method to a linear problem: $g = x + 2 y - 5 = 0, h = 3 x - 3 = 0$ . From any starting point show that $(x_{1}, y_{1})$ is the exact solution (convergence in _one step_).

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.3 Tangent Planes and Linear Approximations, #37

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