Strict spectral approximation of a matrix and some related problems
Applicationes Mathematicae (1997)
- Volume: 24, Issue: 3, page 267-280
- ISSN: 1233-7234
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topZiętak, Krystyna. "Strict spectral approximation of a matrix and some related problems." Applicationes Mathematicae 24.3 (1997): 267-280. <http://eudml.org/doc/219168>.
@article{Ziętak1997,
abstract = {We show how the strict spectral approximation can be used to obtain characterizations and properties of solutions of some problems in the linear space of matrices. Namely, we deal with (i) approximation problems with singular values preserving functions, (ii) the Moore-Penrose generalized inverse. Some properties of approximation by positive semi-definite matrices are commented.},
author = {Ziętak, Krystyna},
journal = {Applicationes Mathematicae},
keywords = {positive semi-definite matrix; $c_p$-minimal approximation; Moore-Penrose generalized inverse; strict spectral approximation of a matrix; singular values preserving functions; -minimal approximation; singular value preserving functions},
language = {eng},
number = {3},
pages = {267-280},
title = {Strict spectral approximation of a matrix and some related problems},
url = {http://eudml.org/doc/219168},
volume = {24},
year = {1997},
}
TY - JOUR
AU - Ziętak, Krystyna
TI - Strict spectral approximation of a matrix and some related problems
JO - Applicationes Mathematicae
PY - 1997
VL - 24
IS - 3
SP - 267
EP - 280
AB - We show how the strict spectral approximation can be used to obtain characterizations and properties of solutions of some problems in the linear space of matrices. Namely, we deal with (i) approximation problems with singular values preserving functions, (ii) the Moore-Penrose generalized inverse. Some properties of approximation by positive semi-definite matrices are commented.
LA - eng
KW - positive semi-definite matrix; $c_p$-minimal approximation; Moore-Penrose generalized inverse; strict spectral approximation of a matrix; singular values preserving functions; -minimal approximation; singular value preserving functions
UR - http://eudml.org/doc/219168
ER -
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