Geometrical and Spectral Properties of the Orthogonal Projections of the Identity

Geometrical and Spectral Properties of the Orthogonal Projections of the Identity

We analyze the best approximation (in the Frobenius sense) to the identity matrix in an arbitrary matrix subspace ( nonsingular, being any fixed subspace of ). Some new geometrical and spectral properties of the orthogonal projection are derived. In particular, new inequalities for the trace and...

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Bibliographic Details
Main Authors:	Luis González, Antonio Suárez, Dolores García
Format:	Article
Language:	English
Published:	Hindawi Limited 2013-01-01
Series:	Journal of Applied Mathematics
Online Access:	http://dx.doi.org/10.1155/2013/435730

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