Electronic Resource
New York, NY [u.a.]
:
Wiley-Blackwell
Numerical Linear Algebra with Applications
2 (1995), S. 431-445
ISSN:
1070-5325
Keywords:
order cone
;
order unit
;
K-monotone operator
;
Barrier element
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
Notes:
An abstract version of the well known Barrier Lemma is presented and some of its generalizations are shown for bounded linear and some unbounded densely defined linear monotone operators in some partially ordered Banach spaces. K-monotonicity of generally unbounded operators is characterized. Some applications of constructing error bounds for approximately solving equations governed by bounded linear operators are established.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/nla.1680020505
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