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**1. Homework Statement**

If p(A^-1 B) < 1 then the Crank-Nicholson method is stable for all eigenvalues.

Where p is the spectral radius.

**2. Homework Equations**

Stability requires that A*U_j=B*U_{j-1} which gives

U_j = A^-1 B U_{j-1}

**3. The Attempt at a Solution**

Where do I start?