Geodesic
Strict spectral approximation of a matrix and some related problems
Applicationes Mathematicae, Tome 24 (1997) no. 3, pp. 267-280.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/am-24-3-267-280
Keywords: positive semi-definite matrix, $c_p$-minimal approximation, Moore-Penrose generalized inverse, strict spectral approximation of a matrix, singular values preserving functions

Krystyna Ziętak 1

1 
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Krystyna Ziętak. Strict spectral approximation of a matrix and some related problems. Applicationes Mathematicae, Tome 24 (1997) no. 3, pp. 267-280. doi : 10.4064/am-24-3-267-280. http://geodesic.mathdoc.fr/articles/10.4064/am-24-3-267-280/

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