A type of infinite dimensional homotopy method is considered for numerically calculating a solution curve of a nonlinear functional equation being a Fredholm operator with index 1 and an A-proper operator. In this method, a property of so-called A-proper homotopy plays an important role.
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Mitsunori MAKINO, Shin'ichi OISHI, Masahide KASHIWAGI, Kazuo HORIUCHI, "Infinite Dimensional Homotopy Method of Calculating Solutions for Fredholm Operator with Index 1 and A-Proper Operator Equations" in IEICE TRANSACTIONS on Fundamentals,
vol. E75-A, no. 5, pp. 613-615, May 1992, doi: .
Abstract: A type of infinite dimensional homotopy method is considered for numerically calculating a solution curve of a nonlinear functional equation being a Fredholm operator with index 1 and an A-proper operator. In this method, a property of so-called A-proper homotopy plays an important role.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e75-a_5_613/_p
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@ARTICLE{e75-a_5_613,
author={Mitsunori MAKINO, Shin'ichi OISHI, Masahide KASHIWAGI, Kazuo HORIUCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Infinite Dimensional Homotopy Method of Calculating Solutions for Fredholm Operator with Index 1 and A-Proper Operator Equations},
year={1992},
volume={E75-A},
number={5},
pages={613-615},
abstract={A type of infinite dimensional homotopy method is considered for numerically calculating a solution curve of a nonlinear functional equation being a Fredholm operator with index 1 and an A-proper operator. In this method, a property of so-called A-proper homotopy plays an important role.},
keywords={},
doi={},
ISSN={},
month={May},}
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TY - JOUR
TI - Infinite Dimensional Homotopy Method of Calculating Solutions for Fredholm Operator with Index 1 and A-Proper Operator Equations
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 613
EP - 615
AU - Mitsunori MAKINO
AU - Shin'ichi OISHI
AU - Masahide KASHIWAGI
AU - Kazuo HORIUCHI
PY - 1992
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E75-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 1992
AB - A type of infinite dimensional homotopy method is considered for numerically calculating a solution curve of a nonlinear functional equation being a Fredholm operator with index 1 and an A-proper operator. In this method, a property of so-called A-proper homotopy plays an important role.
ER -