IEICE TRANSACTIONS on transactions
An Urabe Type Convergence Theorem for a Constructive Simplified Newton Method in Infinite Dimensional Spaces
Summary :
In this letter, a constructive simplified Newton method is presented for calculating solutions of infinite dimensional nonlinear equations, which uses a projection scheme from an infinite dimensional space to finite dimensional subspaces. A convergence theorem of the method is shown based on Urabe's theorem.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E73-E No.11 pp.1789-1791
- Publication Date
- 1990/11/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section LETTER (Special Issue on 1990 Autumn Natl. Conv. IEICE)
- Category
- Nonlinear Problems and Simulation
Authors
Keyword
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Masahide KASHIWAGI, Shin'ichi OISHI, Mitsunori MAKINO, Kazuo HORIUCHI, "An Urabe Type Convergence Theorem for a Constructive Simplified Newton Method in Infinite Dimensional Spaces" in IEICE TRANSACTIONS on transactions,
vol. E73-E, no. 11, pp. 1789-1791, November 1990, doi: .
Abstract: In this letter, a constructive simplified Newton method is presented for calculating solutions of infinite dimensional nonlinear equations, which uses a projection scheme from an infinite dimensional space to finite dimensional subspaces. A convergence theorem of the method is shown based on Urabe's theorem.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e73-e_11_1789/_p
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@ARTICLE{e73-e_11_1789,
author={Masahide KASHIWAGI, Shin'ichi OISHI, Mitsunori MAKINO, Kazuo HORIUCHI, },
journal={IEICE TRANSACTIONS on transactions},
title={An Urabe Type Convergence Theorem for a Constructive Simplified Newton Method in Infinite Dimensional Spaces},
year={1990},
volume={E73-E},
number={11},
pages={1789-1791},
abstract={In this letter, a constructive simplified Newton method is presented for calculating solutions of infinite dimensional nonlinear equations, which uses a projection scheme from an infinite dimensional space to finite dimensional subspaces. A convergence theorem of the method is shown based on Urabe's theorem.},
keywords={},
doi={},
ISSN={},
month={November},}
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TY - JOUR
TI - An Urabe Type Convergence Theorem for a Constructive Simplified Newton Method in Infinite Dimensional Spaces
T2 - IEICE TRANSACTIONS on transactions
SP - 1789
EP - 1791
AU - Masahide KASHIWAGI
AU - Shin'ichi OISHI
AU - Mitsunori MAKINO
AU - Kazuo HORIUCHI
PY - 1990
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E73-E
IS - 11
JA - IEICE TRANSACTIONS on transactions
Y1 - November 1990
AB - In this letter, a constructive simplified Newton method is presented for calculating solutions of infinite dimensional nonlinear equations, which uses a projection scheme from an infinite dimensional space to finite dimensional subspaces. A convergence theorem of the method is shown based on Urabe's theorem.
ER -
English
