An Estimation Method of Region Guaranteeing Existence of a Solution Path in Newton Type Homotopy Method
Summary :
An estimation method of region is presented, in which a solution path of the so-called Newton type homotopy equation in guaranteed to exist, it is applied to a certain class of uniquely solvable nonlinear equations. The region can be estimated a posteriori, and its upper bound also can be estimated a priori.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E76-A No.7 pp.1113-1116
- Publication Date
- 1993/07/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section LETTER (Special Section of Letters Selected from the 1993 IEICE Spring Conference)
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Mitsunori MAKINO, Masahide KASHIWAGI, Shin'ichi OISHI, Kazuo HORIUCHI, "An Estimation Method of Region Guaranteeing Existence of a Solution Path in Newton Type Homotopy Method" in IEICE TRANSACTIONS on Fundamentals,
vol. E76-A, no. 7, pp. 1113-1116, July 1993, doi: .
Abstract: An estimation method of region is presented, in which a solution path of the so-called Newton type homotopy equation in guaranteed to exist, it is applied to a certain class of uniquely solvable nonlinear equations. The region can be estimated a posteriori, and its upper bound also can be estimated a priori.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e76-a_7_1113/_p
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@ARTICLE{e76-a_7_1113,
author={Mitsunori MAKINO, Masahide KASHIWAGI, Shin'ichi OISHI, Kazuo HORIUCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={An Estimation Method of Region Guaranteeing Existence of a Solution Path in Newton Type Homotopy Method},
year={1993},
volume={E76-A},
number={7},
pages={1113-1116},
abstract={An estimation method of region is presented, in which a solution path of the so-called Newton type homotopy equation in guaranteed to exist, it is applied to a certain class of uniquely solvable nonlinear equations. The region can be estimated a posteriori, and its upper bound also can be estimated a priori.},
keywords={},
doi={},
ISSN={},
month={July},}
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TY - JOUR
TI - An Estimation Method of Region Guaranteeing Existence of a Solution Path in Newton Type Homotopy Method
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1113
EP - 1116
AU - Mitsunori MAKINO
AU - Masahide KASHIWAGI
AU - Shin'ichi OISHI
AU - Kazuo HORIUCHI
PY - 1993
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E76-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 1993
AB - An estimation method of region is presented, in which a solution path of the so-called Newton type homotopy equation in guaranteed to exist, it is applied to a certain class of uniquely solvable nonlinear equations. The region can be estimated a posteriori, and its upper bound also can be estimated a priori.
ER -
English
