What methods do you recommend to solve very ill conditioned general eigenvalue problem with Matlab?

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Suppose we want to solve following attached general eigenvalue problem in which the matrices K11, M11 are symmetric, positive definite and very ill conditioned as well as K12.
What method do you recommend.
I attached my matrices in Matlab, It will be so appreciable if someone could help me solve it with Matlab.
What methods do you recommend to solve very ill conditioned general eigenvalue problem in Matlab?.

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