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In this work, we apply a Matrix version of the so-called Discrete Empirical Interpolation (MDEIM) for the efficient reduction of nonaffine parametrized systems arising from the discretization of linear partial differential equations.
This is a matrix version of (1.1).
This is a matrix version of the inequality (1.4).
The article [12] presented the matrix version of (1.1).
Sun, X. and Pitsianis, N. "A Matrix Version of the Fast Multipole Method". SIAM Review, 43.2, (2002): 289-300.
A well-know matrix version of Kantorovich inequality asserts that (see[1 3]).
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Additionally, several matrix versions of an inequality of Littlewood related to the Hölder inequality were obtained.
Many matrix versions of Kantorovich inequality were obtained in the literature, e.g. [6 8].
Based on the reverses of the scalar Young type inequalities (9) and (10), we obtain matrix versions of these inequalities.
For more information on matrix versions of the Young inequality (1) the reader is referred to [4 9].
For more information on matrix versions of the arithmetic-geometric mean inequality, the reader is referred to [1 11] and the references therein.
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