On Brown's method with convexity hypotheses

Juan Pedro Milaszewicz

Applications of Mathematics (2004)

  • Volume: 49, Issue: 2, page 165-184
  • ISSN: 0862-7940

Abstract

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Given two initial points generating monotone convergent Brown iterations in the context of the monotone Newton theorem (MNT), it is proved that if one of them is an upper bound of the other, then the same holds for each pair of respective terms in the Brown sequences they generate. This comparison result is carried over to the corresponding Brown-Fourier iterations. An illustration is discussed.

How to cite

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Milaszewicz, Juan Pedro. "On Brown's method with convexity hypotheses." Applications of Mathematics 49.2 (2004): 165-184. <http://eudml.org/doc/33181>.

@article{Milaszewicz2004,
abstract = {Given two initial points generating monotone convergent Brown iterations in the context of the monotone Newton theorem (MNT), it is proved that if one of them is an upper bound of the other, then the same holds for each pair of respective terms in the Brown sequences they generate. This comparison result is carried over to the corresponding Brown-Fourier iterations. An illustration is discussed.},
author = {Milaszewicz, Juan Pedro},
journal = {Applications of Mathematics},
keywords = {nonlinear systems; convex functions; Brown’s method; monotone convergence; Fourier iterates; nonlinear system; convex function; monotone convergence; Fourier iterates},
language = {eng},
number = {2},
pages = {165-184},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On Brown's method with convexity hypotheses},
url = {http://eudml.org/doc/33181},
volume = {49},
year = {2004},
}

TY - JOUR
AU - Milaszewicz, Juan Pedro
TI - On Brown's method with convexity hypotheses
JO - Applications of Mathematics
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 2
SP - 165
EP - 184
AB - Given two initial points generating monotone convergent Brown iterations in the context of the monotone Newton theorem (MNT), it is proved that if one of them is an upper bound of the other, then the same holds for each pair of respective terms in the Brown sequences they generate. This comparison result is carried over to the corresponding Brown-Fourier iterations. An illustration is discussed.
LA - eng
KW - nonlinear systems; convex functions; Brown’s method; monotone convergence; Fourier iterates; nonlinear system; convex function; monotone convergence; Fourier iterates
UR - http://eudml.org/doc/33181
ER -

References

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