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I'm trying to find a fast way to solve the matrix equation [itex](A+pI)x=b[/itex], where A is a large matrix, I is the identity matrix, and p is a parameter whose value needs to be swept. Obviously I could just use mldivide or matrix inversion for every value of p, but this seems inefficient. Does anyone know of a better way? Thanks!

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# Fast matrix inversion

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