论文信息 - On unique solvability of the absolute value equation

On unique solvability of the absolute value equation

It is proved that the singular value condition σmax(|B|) < σmin(A) implies unique solvability of the absolute value equation Ax + B|x| = b for each right-hand side b. This is a generalization of an earlier result by Mangasarian and Meyer proved for the special case of B = −I.

Jiri Rohn

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