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http://hdl.handle.net/10553/16394
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: | 2013 | Project: | Avances en Simulación de Campos de Viento y Radiación Solar. | 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... | URI: | http://hdl.handle.net/10553/16394 | ISSN: | 0022-247X | DOI: | 10.1016/j.jmaa.2012.11.021 | Source: | Journal of Mathematical Analysis and Applications [0022-247X], v. 400(2), p. 510-516 | Rights: | by-nc-nd |
Appears in Collections: | Artículos |
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