Existence and Uniqueness of Optimal Matrix Scalings
نویسندگان
چکیده
The problem of finding a diagonal similarity scaling to minimize the scaled singular value of a matrix arises frequently in robustness analysis of control systems. It is shown here that the set of optimal diagonal scalings is nonempty and bounded if and only if the matrix that is being scaled is irreducible. For an irreducible matrix, a sufficient condition is derived for the uniqueness of the optimal scaling.
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ورودعنوان ژورنال:
- SIAM J. Matrix Analysis Applications
دوره 16 شماره
صفحات -
تاریخ انتشار 1995