# A unifying theorem on Newton's method in a Banach space with a convergence structure under weak assumptions.

Southwest Journal of Pure and Applied Mathematics [electronic only] (2003)

- Volume: 2003, Issue: 1, page 56-65
- ISSN: 1083-0464

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topArgyros, Ioannis K.. "A unifying theorem on Newton's method in a Banach space with a convergence structure under weak assumptions.." Southwest Journal of Pure and Applied Mathematics [electronic only] 2003.1 (2003): 56-65. <http://eudml.org/doc/228929>.

@article{Argyros2003,

author = {Argyros, Ioannis K.},

journal = {Southwest Journal of Pure and Applied Mathematics [electronic only]},

keywords = {Newton's method; Banach space; order convex operator; monotone convergence; Newton-Kantorovich theorem; multilinear symmetric operator; monotonicity; error bounds; numerical examples},

language = {eng},

number = {1},

pages = {56-65},

publisher = {Cameron University, Lawton},

title = {A unifying theorem on Newton's method in a Banach space with a convergence structure under weak assumptions.},

url = {http://eudml.org/doc/228929},

volume = {2003},

year = {2003},

}

TY - JOUR

AU - Argyros, Ioannis K.

TI - A unifying theorem on Newton's method in a Banach space with a convergence structure under weak assumptions.

JO - Southwest Journal of Pure and Applied Mathematics [electronic only]

PY - 2003

PB - Cameron University, Lawton

VL - 2003

IS - 1

SP - 56

EP - 65

LA - eng

KW - Newton's method; Banach space; order convex operator; monotone convergence; Newton-Kantorovich theorem; multilinear symmetric operator; monotonicity; error bounds; numerical examples

UR - http://eudml.org/doc/228929

ER -

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