@article{oai:chuo-u.repo.nii.ac.jp:00001243, author = {山村, 清隆 and 今井, 右 and 井上, 靖秋}, journal = {中央大学理工学研究所論文集}, month = {Mar}, note = {application/pdf, In circuit simulation, many circuit designers experience difficulties in finding dc operating points of nonlinear circuits because the Newton-Raphson method often fails to converge unless the initial point is sufficiently close to the solution. To overcome this convergence problem, homotopy methods have been studied, and it has been proved that the homotopy methods are globally convergent for nonlinear circuit equations. Nowadays the homotopy methods are widely used in practical circuit simulation, and bipolar analogin tegrated circuits with more than 20,000 elements are solved efficiently with the theoretical guarantee of global convergence. In this paper, an efficient algorithm using a new homotopy function termed the Newton-fixed-point homotopy is proposed, and it is shown that this algorithm is more efficient than the conventional algorithms., 【査読有】}, pages = {61--71}, title = {ニュートン不動点ホモトピーを用いた非線形回路の直流動作点の大域的求解法}, volume = {10}, year = {2005}, yomi = {ヤマムラ, キヨタカ and イマイ, ユウ and イノウエ, ヤスアキ} }