03 June 2015 5 5K Report

I need to handle such a problem. Consider the following equation: 

                                        P-1(A+E)P=B

with A and B given and E optional.

How to find an optimal E to minimize both norm(E) and cond(P)? Or at least minimize norm(E)?

Or can you indicate any reference book on matrix optimization where I might find an answer by myself?

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