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Nexxim Simulator >
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   DC Analysis Technical Notes >
       Solving the Circuit Equations in Nexxim DC Analysis >
           Linearization of Nonlinear Device Equations

Linearization of Nonlinear Device Equations

The current through a device is typically expressed as a function of the voltages at its nodes. Linear device currents are linear functions of node voltages. For example, the current through a resistor is described by:

For nonlinear devices, the relationships between current and voltage are expressed by one or more nonlinear functions of voltage. The Newton-Raphson method linearizes each nonlinear function f(v) using the following iterative matrix/vector form, where on the kth iteration:

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