二次変換の発散収束境界の諸性質

概要

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This paper aims at the elucidation of the asymptotic behavior of the Newton-Raphson process in the neighborhood of the solution by means of the quadratic transformation theory. The divergence-convergence (DC) boundary 0f the real homogeneous quadratic transformation is introduced and analyzed as a metric representing the convergence property of the transformation. Furthermore, based on the classification of the two-dimensional quadratic transformation given in [1], the characteristic portraits of the DC-boundaries in two dimensions are illustrated.
一般社団法人情報処理学会の論文
1978-06-15