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  1. B200 工学部/工学研究科
  2. B200a 雑誌掲載論文
  3. 学術雑誌

密行列固有値解法の最近の発展(II) : マルチシフトQR法

http://hdl.handle.net/2237/10841
http://hdl.handle.net/2237/10841
03071a44-82fc-4871-a473-2b4e195f9f47
名前 / ファイル ライセンス アクション
yamamoto_989.pdf yamamoto_989.pdf (2.0 MB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2009-01-21
タイトル
タイトル 密行列固有値解法の最近の発展(II) : マルチシフトQR法
言語 ja
その他のタイトル
その他のタイトル Recent Developments in Algorithms for Solving Dense Eigenproblems (II) : Multishift QR Algorithms
言語 en
著者 山本, 有作

× 山本, 有作

WEKO 25459

ja 山本, 有作

Search repository
Yamamoto, Yusaku

× Yamamoto, Yusaku

WEKO 25460

en Yamamoto, Yusaku

Search repository
アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
権利
言語 ja
権利情報 日本応用数理学会
権利
言語 ja
権利情報 本文データは学協会の許諾に基づきCiNiiから複製したものである
抄録
内容記述 The QR algorithm is one of the most reliable and widely used methods to compute the eigenvalues of symmetric and nonsymmetric matrices. However, it is not straightforward to execute the QR algorithm efficiently on modern architectures such as processors with hierarchical memory or parallel computers because of its inherent sequential nature and low data reference locality. To overcome this difficulty, Bai & Demmel proposed the multishift QR algorithm in 1989 and this idea has been greatly expanded since then. In this paper, we introduce the basic theory of the multishift QR algorithm and review recent developments to improve its efficiency, such as the two-tone QR algorithm, aggressive early deflation and the fully-pipelined multishift QR algorithm. Directions for future research are also discussed.
言語 en
内容記述タイプ Abstract
内容記述
内容記述 (サーベイ,行列・固有値問題の解法とその応用,<特集>平成18年研究部会連合発表会) (Survey,Algorithms for Matrix/Eigenvalue Problems and their Application,<Special Issue> "Joint Symposium of JSIAM Activity Groups 2006")
言語 ja
内容記述タイプ Other
出版者
言語 ja
出版者 日本応用数理学会
言語
言語 jpn
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
タイプ journal article
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
関連情報
関連タイプ isVersionOf
識別子タイプ URI
関連識別子 http://ci.nii.ac.jp/naid/110006197075/
ISSN
収録物識別子タイプ PISSN
収録物識別子 09172246
書誌情報 ja : 日本応用数理学会論文誌

巻 16, 号 4, p. 507-534, 発行日 2006-12-25
フォーマット
application/pdf
著者版フラグ
値 publisher
URI
識別子 http://hdl.handle.net/2237/10841
識別子タイプ HDL
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