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- 小澤 一文
- 東北大学情報処理研究センター
書誌事項
- タイトル別名
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- A Simple Procedure for Setting the Efficient Starting Values of the Durand-Kerner Itereation
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説明
We propose a simple procedure for setting the efficient starting values of the Durand-Kerner iteration, which finds all zeros α_i(i = 1, ・・・, n) of a polynomial of degree n simultaneously. In our new procedure, the starting values are located on the circle centered at β with radius γ_<gm>where β = 1/nΣ^^n__<i=1>α_i, and γ_<gm> is the geometric mean of the deviations |α_i - β|. The computational cost for this procedure is extremely cheap compared with that for Aberth's procedure. Moreover, the various numerical examples show that our new method reduces the number of iterations tremendously over any other ones, particularly when some of the deviations |α_i - β| are large.
収録刊行物
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- 日本応用数理学会論文誌
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日本応用数理学会論文誌 3 (4), 451-464, 1993
一般社団法人 日本応用数理学会
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詳細情報 詳細情報について
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- CRID
- 1390001205768492928
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- NII論文ID
- 110001883564
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- NII書誌ID
- AN10367166
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- ISSN
- 24240982
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可