We study the superoptimal Frobenius operators in several matrix vector spaces and in particular in the circulant algebra, by emphasizing both the algebraic and geometric properties. More specifically we prove a series of ``negative'' results that explain why this approximation procedure is not competitive with the optimal Frobenius approximation, although it could be used for regularization purposes.
A note on the superoptimal matrix algebra operators
DI BENEDETTO, FABIO;
2002-01-01
Abstract
We study the superoptimal Frobenius operators in several matrix vector spaces and in particular in the circulant algebra, by emphasizing both the algebraic and geometric properties. More specifically we prove a series of ``negative'' results that explain why this approximation procedure is not competitive with the optimal Frobenius approximation, although it could be used for regularization purposes.
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