Componentwise Error Estimates for Approximate Solutions of Nonlinear Equations
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概要
- 論文の詳細を見る
Let x^<(0)> be an approximate solution of a system of nonlinear equations. On the basis of the theory of pseudometric space due to Schroder, Collatz and others, a theorem is first proved which determines an existence region of a solution of the system. Next, the result is applied to derive a theorem which may be useful for finding a sharp error bound of each component of x^<(0)>. Further, after proving a uniqueness theorem, an algorithm is presented for finding the best uniqueness domain based upon it. Finally, the results are illustrated with a system of two nonlinear equations.
- 一般社団法人情報処理学会の論文
- 1979-11-30
著者
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Yamamoto Tetsuro
Department Of Mathematics Faculty Of Science Ehime University
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Yamamoto Tetsuro
Department Of Biology Faculty Of Science Konan University
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