Comment #12 on issue 2225 by asmeurer: Enhancing Matrix Norm http://code.google.com/p/sympy/issues/detail?id=2225
Certainly there are. They are as defined in the OP. So, for example, the 2 norm of the vector [x, y, z] is sqrt(x**2 + y**2 + z**2). Just about anything in mathematics that can be done numerically can be expressed in a symbolic way.
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