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Title: Normalized Frobenius condition number of the orthogonal projections of the identity
Authors: Suárez Sarmiento, Antonio F. 
González Sánchez, Luis 
UNESCO Clasification: 120610 Matrices
120111 Teoría de matrices
12 Matemáticas
Keywords: Frobenius norm minimization
Orthogonal projections
Frobenius condition number
Issue Date: 2012
Journal: Journal of Mathematical Analysis and Applications 
Abstract: This paper deals with the orthogonal projection (in the Frobenius sense) AN of the identity matrix I onto the matrix subspace AS (A ? Rn×n, S being an arbitrary subspace of Rn×n). Lower and upper bounds on the normalized Frobenius condition number of matrix AN are given. Furthermore, for every matrix subspace S ? Rn×n, a new index bF (A, S), which generalizes the normalized Frobenius condition number of matrix A, is defined and analyzed...
DOI: 10.1016/j.jmaa.2012.11.021
Source: Journal of Mathematical Analysis and Applications. -- Orlando, Fla. : Academic Press. -- 0022-247X. -- Octuber 16, 2012
Rights: by-nc-nd
Appears in Collections:Artículo preliminar
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