IEICE TRANSACTIONS on Fundamentals
An Estimation by Interval Analysis of Region Guaranteeing Existence of a Solution Path in Homotopy Method
Summary :
Related with accuracy, computational complexity and so on, quality of computing for the so-called homotopy method has been discussed recently. In this paper, we shall propose an estimation method with interval analysis of region in which unique solution path of the homotopy equation is guaranteed to exist, when it is applied to a certain class of uniquely solvable nonlinear equations. By the estimation, we can estimate the region a posteriori, and estimate a priori an upper bound of the region.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E81-A No.9 pp.1886-1891
- Publication Date
- 1998/09/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Nonlinear Theory and Its Applications)
- Category
- Numerical Analysis
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Mitsunori MAKINO, "An Estimation by Interval Analysis of Region Guaranteeing Existence of a Solution Path in Homotopy Method" in IEICE TRANSACTIONS on Fundamentals,
vol. E81-A, no. 9, pp. 1886-1891, September 1998, doi: .
Abstract: Related with accuracy, computational complexity and so on, quality of computing for the so-called homotopy method has been discussed recently. In this paper, we shall propose an estimation method with interval analysis of region in which unique solution path of the homotopy equation is guaranteed to exist, when it is applied to a certain class of uniquely solvable nonlinear equations. By the estimation, we can estimate the region a posteriori, and estimate a priori an upper bound of the region.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e81-a_9_1886/_p
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@ARTICLE{e81-a_9_1886,
author={Mitsunori MAKINO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={An Estimation by Interval Analysis of Region Guaranteeing Existence of a Solution Path in Homotopy Method},
year={1998},
volume={E81-A},
number={9},
pages={1886-1891},
abstract={Related with accuracy, computational complexity and so on, quality of computing for the so-called homotopy method has been discussed recently. In this paper, we shall propose an estimation method with interval analysis of region in which unique solution path of the homotopy equation is guaranteed to exist, when it is applied to a certain class of uniquely solvable nonlinear equations. By the estimation, we can estimate the region a posteriori, and estimate a priori an upper bound of the region.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - An Estimation by Interval Analysis of Region Guaranteeing Existence of a Solution Path in Homotopy Method
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1886
EP - 1891
AU - Mitsunori MAKINO
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E81-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 1998
AB - Related with accuracy, computational complexity and so on, quality of computing for the so-called homotopy method has been discussed recently. In this paper, we shall propose an estimation method with interval analysis of region in which unique solution path of the homotopy equation is guaranteed to exist, when it is applied to a certain class of uniquely solvable nonlinear equations. By the estimation, we can estimate the region a posteriori, and estimate a priori an upper bound of the region.
ER -
English
