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  1. 学部学科区分一覧
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  2. 学術雑誌論文

Kω ? Open-source library for the shifted Krylov subspace method of the form (zI?H)x=b

https://repository.lib.tottori-u.ac.jp/records/7158
https://repository.lib.tottori-u.ac.jp/records/7158
c1c5dda2-96d6-4a6e-bf72-a7eee06a7ac4
名前 / ファイル ライセンス アクション
cpc258_j.cpc.2020.107536.pdf cpc258_j.cpc.2020.107536.pdf (825.2 kB)
© 2020 The Authors. Published by Elsevier B.V. http://creativecommons.org/licenses/by/4.0/
Item type 学術雑誌論文 / Journal Article(1)
公開日 2022-07-13
タイトル
言語 en
タイトル Kω ? Open-source library for the shifted Krylov subspace method of the form (zI?H)x=b
言語
言語 eng
キーワード
主題 Numerical linear algebra
キーワード
主題 Shifted linear equations
キーワード
主題 Krylov subspace method
キーワード
主題 Quantum lattice models
キーワード
言語 en
主題 Numerical linear algebra
キーワード
言語 en
主題 Shifted linear equations
キーワード
言語 en
主題 Krylov subspace method
キーワード
言語 en
主題 Quantum lattice models
資源タイプ
資源タイプ journal article
著者 星, 健夫

× 星, 健夫

WEKO 813
e-Rad 80272384
研究者総覧鳥取大学 100000561

星, 健夫

ja-Kana ホシ, タケオ

en Hoshi, Takeo

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Kawamura, Mitsuaki

× Kawamura, Mitsuaki

WEKO 26503

en Kawamura, Mitsuaki

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Yoshimi, Kazuyoshi

× Yoshimi, Kazuyoshi

WEKO 26504

en Yoshimi, Kazuyoshi

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Motoyama, Yuichi

× Motoyama, Yuichi

WEKO 26505

en Motoyama, Yuichi

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Misawa, Takahiro

× Misawa, Takahiro

WEKO 26506

en Misawa, Takahiro

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Yamaji, Youhei

× Yamaji, Youhei

WEKO 26507

en Yamaji, Youhei

Search repository
Todo, Synge

× Todo, Synge

WEKO 26508

en Todo, Synge

Search repository
Kawashima, Naoki

× Kawashima, Naoki

WEKO 26509

en Kawashima, Naoki

Search repository
Sogabe, Tomohiro

× Sogabe, Tomohiro

WEKO 26510

en Sogabe, Tomohiro

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著者所属(英)
en
Department of Applied Mathematics and Physics, Tottori University
著者所属(英)
en
Institute for Solid State Physics, University of Tokyo
著者所属(英)
en
Institute for Solid State Physics, University of Tokyo
著者所属(英)
en
Institute for Solid State Physics, University of Tokyo
著者所属(英)
en
Institute for Solid State Physics, University of Tokyo
著者所属(英)
en
Department of Applied Physics, University of Tokyo
著者所属(英)
en
Department of Physics, University of Tokyo / Institute for Solid State Physics, University of Tokyo
著者所属(英)
en
Institute for Solid State Physics, University of Tokyo
著者所属(英)
en
Department of Applied Physics, Nagoya University
抄録
内容記述タイプ Abstract
内容記述 We develop Kω, an open-source linear algebra library for the shifted Krylov subspace methods. The methods solve a set of shifted linear equations (zkI−H)x(k)=b(k=0,1,2,…) for a given matrix H and a vector b, simultaneously. The leading order of the operational cost is the same as that for a single equation. The shift invariance of the Krylov subspace is the mathematical foundation of the shifted Krylov subspace methods. Applications in materials science are presented to demonstrate the advantages of the algorithm over the standard Krylov subspace methods such as the Lanczos method. We introduce benchmark calculations of (i) an excited (optical) spectrum and (ii) intermediate eigenvalues by the contour integral on the complex plane. In combination with the quantum lattice solver HΦ, Kω can realize parallel computation of excitation spectra and intermediate eigenvalues for various quantum lattice models.
書誌情報 Computer Physics Communications
en : Computer Physics Communications

巻 258, 発行日 2021-01-31
出版者
出版者 Elsevier
ISSN
収録物識別子タイプ ISSN
収録物識別子 00104655
DOI
関連タイプ isIdenticalTo
識別子タイプ DOI
関連識別子 10.1016/j.cpc.2020.107536
権利
権利情報 © 2020 The Authors. Published by Elsevier B.V. http://creativecommons.org/licenses/by/4.0/
情報源
関連名称 Hoshi, Takeo. Kawamura, Mitsuaki. Yoshimi, Kazuyoshi. et al. Kω — Open-source library for the shifted Krylov subspace method of the form (zI−H)x=b. Computer Physics Communications. 258. 107536. 2021-01-31.
関連サイト
識別子タイプ URI
関連識別子 https://www.sciencedirect.com/science/article/pii/S0010465520302551
関連名称 https://www.sciencedirect.com/science/article/pii/S0010465520302551
著者版フラグ
出版タイプ VoR
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