Matrix Transformations
Resolvent
RandomMatrix.Resolvent
— TypeResolvent(A::Matrix)
- return the resolvent function of
A
, $R(z)= (A-zI)^{-1}$
Examples
Get the resolvent function of a normalized GOE(500).
And evaluate the resolvent at 0
R = Resolvent(rand(GOE(500),norm = true)) # This is a function
R(0)
500×500 Matrix{Float64}:
0.460903 -0.384016 0.268931 … -0.59029 -0.178288
-0.384016 0.489355 -0.366855 0.452094 -0.190179
0.268931 -0.366855 -0.697169 -0.221433 0.535448
0.388846 0.946668 -0.354459 -0.796717 0.207156
⋮ ⋱
-0.532533 0.950826 -0.366618 0.0926931 -0.288692
-0.0874979 -0.553262 -0.388048 -0.0156897 0.177695
-0.59029 0.452094 -0.221433 0.9136 0.343194
-0.178288 -0.190179 0.535448 0.343194 -0.141701
RandomMatrix.qResolvent
— FunctionqResolvent(A)
returns the quaternion resolvent function of A.