TY - JOUR
T1 - Algorithm for finding all solutions of parameter-dependent nonlinear equations with guaranteed accuracy
AU - Kanzawa, Yuchi
AU - Kashiwagi, Masahide
AU - Oishi, Shin'ichi
PY - 1999/10/1
Y1 - 1999/10/1
N2 - This paper proposes an algorithm which can derive all solutions with guaranteed accuracy for equations including a nonlinear function, with the dimension of the domain larger than the dimension of the range. It is mathematically shown that the proposed algorithm is completed in a finite number of steps under an appropriate condition. The effectiveness of the proposed algorithm is demonstrated by numerical examples.
AB - This paper proposes an algorithm which can derive all solutions with guaranteed accuracy for equations including a nonlinear function, with the dimension of the domain larger than the dimension of the range. It is mathematically shown that the proposed algorithm is completed in a finite number of steps under an appropriate condition. The effectiveness of the proposed algorithm is demonstrated by numerical examples.
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U2 - 10.1002/(SICI)1520-6440(199910)82:10<33::AID-ECJC5>3.0.CO;2-F
DO - 10.1002/(SICI)1520-6440(199910)82:10<33::AID-ECJC5>3.0.CO;2-F
M3 - Article
AN - SCOPUS:0032654837
SN - 1042-0967
VL - 82
SP - 33
EP - 39
JO - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
JF - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
IS - 10
ER -