On orderings induced by the Loewner partial ordering
Jan Hauke; Augustyn Markiewicz
Applicationes Mathematicae (1994)
- Volume: 22, Issue: 2, page 145-154
- ISSN: 1233-7234
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topHauke, Jan, and Markiewicz, Augustyn. "On orderings induced by the Loewner partial ordering." Applicationes Mathematicae 22.2 (1994): 145-154. <http://eudml.org/doc/219087>.
@article{Hauke1994,
abstract = {The partial ordering induced by the Loewner partial ordering on the convex cone comprising all matrices which multiplied by a given positive definite matrix become nonnegative definite is considered. Its relation to orderings which are induced by the Loewner partial ordering of the squares of matrices is presented. Some extensions of the latter orderings and their comparison to star orderings are given.},
author = {Hauke, Jan, Markiewicz, Augustyn},
journal = {Applicationes Mathematicae},
keywords = {star ordering; Loewner ordering; spectral radius; matrix norm; cones of matrices; positive matrices; linear estimators; dispersion matrices; convex cone; partial order; generalized inverses; range spaces},
language = {eng},
number = {2},
pages = {145-154},
title = {On orderings induced by the Loewner partial ordering},
url = {http://eudml.org/doc/219087},
volume = {22},
year = {1994},
}
TY - JOUR
AU - Hauke, Jan
AU - Markiewicz, Augustyn
TI - On orderings induced by the Loewner partial ordering
JO - Applicationes Mathematicae
PY - 1994
VL - 22
IS - 2
SP - 145
EP - 154
AB - The partial ordering induced by the Loewner partial ordering on the convex cone comprising all matrices which multiplied by a given positive definite matrix become nonnegative definite is considered. Its relation to orderings which are induced by the Loewner partial ordering of the squares of matrices is presented. Some extensions of the latter orderings and their comparison to star orderings are given.
LA - eng
KW - star ordering; Loewner ordering; spectral radius; matrix norm; cones of matrices; positive matrices; linear estimators; dispersion matrices; convex cone; partial order; generalized inverses; range spaces
UR - http://eudml.org/doc/219087
ER -
References
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