Geometrical and Spectral Properties of the Orthogonal Projections of the Identity
Joint Authors
García, Dolores
Suárez, Antonio
González, Luis
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-09
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We analyze the best approximation AN (in the Frobenius sense) to the identity matrix in an arbitrary matrix subspace AS (A∈ℝn×n nonsingular, S being any fixed subspace of ℝn×n).
Some new geometrical and spectral properties of the orthogonal projection AN are derived.
In particular, new inequalities for the trace and for the eigenvalues of matrix AN are presented for the special case that AN is symmetric and positive definite.
American Psychological Association (APA)
González, Luis& Suárez, Antonio& García, Dolores. 2013. Geometrical and Spectral Properties of the Orthogonal Projections of the Identity. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-472055
Modern Language Association (MLA)
González, Luis…[et al.]. Geometrical and Spectral Properties of the Orthogonal Projections of the Identity. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-472055
American Medical Association (AMA)
González, Luis& Suárez, Antonio& García, Dolores. Geometrical and Spectral Properties of the Orthogonal Projections of the Identity. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-472055
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472055