Approximation theorems of Moore-Penrose inverse by outer inverses
Numer. Math. J. Chinese Univ. (English Ser.)(English Ser.) 15 (2006), pp. 113-119
Published online: 2006-05
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@Article{NM-15-113,
author = {Q. Huang and Z. Fang},
title = {Approximation theorems of Moore-Penrose inverse by outer inverses},
journal = {Numerical Mathematics, a Journal of Chinese Universities},
year = {2006},
volume = {15},
number = {2},
pages = {113--119},
abstract = {
Let $X$ and $Y$ be Hilbert spaces and $T$
a bounded linear operator from $X$ into $Y$ with a separable
range. In this note, we prove, without assuming the closeness of the range
of $T$, that the Moore-Penrose inverse $T^+$ of $T$ can
be approximated by its bounded outer inverses $T_n^{\#}$
with finite ranks.
},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/nm/8020.html}
}
TY - JOUR
T1 - Approximation theorems of Moore-Penrose inverse by outer inverses
AU - Q. Huang & Z. Fang
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 2
SP - 113
EP - 119
PY - 2006
DA - 2006/05
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/8020.html
KW -
AB -
Let $X$ and $Y$ be Hilbert spaces and $T$
a bounded linear operator from $X$ into $Y$ with a separable
range. In this note, we prove, without assuming the closeness of the range
of $T$, that the Moore-Penrose inverse $T^+$ of $T$ can
be approximated by its bounded outer inverses $T_n^{\#}$
with finite ranks.
Q. Huang and Z. Fang. (2006). Approximation theorems of Moore-Penrose inverse by outer inverses.
Numerical Mathematics, a Journal of Chinese Universities. 15 (2).
113-119.
doi:
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