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Principles of Linear Algebra With Maple The Newton–Raphson ...

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Contents1 <strong>The</strong> Newton-Raphson Method for a Single Equation 11.1 <strong>The</strong> Geometry <strong>of</strong> the Newton-Raphson Method . . . . . . . . . 11.2 Examples <strong>of</strong> the Newton-Raphson Method . . . . . . . . . . . . 101.3 An Example <strong>of</strong> When the Newton-Raphson Method Does theUnexpected . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162 <strong>The</strong> Newton-Raphson Method for Square Systems<strong>of</strong> Equations 192.1 Newton-Raphson for Two Equations in Two Unknowns . . . . 192.2 Newton-Raphson for Three Equations in Three Unknowns . . . 28v

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