{"created":"2023-08-02T03:58:01.962538+00:00","id":7158,"links":{},"metadata":{"_buckets":{"deposit":"0b243b4e-3877-414d-8442-89c3fbb7e787"},"_deposit":{"created_by":10,"id":"7158","owners":[10],"pid":{"revision_id":0,"type":"depid","value":"7158"},"status":"published"},"_oai":{"id":"oai:repository.lib.tottori-u.ac.jp:00007158","sets":["1:10","2:12"]},"author_link":["813","26503","26504","26505","26506","26507","26508","26509","26510"],"item_10001_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2021-01-31","bibliographicIssueDateType":"Issued"},"bibliographicVolumeNumber":"258","bibliographic_titles":[{"bibliographic_title":"Computer Physics Communications"},{"bibliographic_title":"Computer Physics Communications","bibliographic_titleLang":"en"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"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.","subitem_description_type":"Other"}]},"item_10001_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Elsevier"}]},"item_10001_relation_14":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1016/j.cpc.2020.107536","subitem_relation_type_select":"DOI"}}]},"item_10001_relation_16":{"attribute_name":"情報源","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"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."}]}]},"item_10001_relation_17":{"attribute_name":"関連サイト","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://www.sciencedirect.com/science/article/pii/S0010465520302551"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://www.sciencedirect.com/science/article/pii/S0010465520302551","subitem_relation_type_select":"URI"}}]},"item_10001_rights_15":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2020 The Authors. Published by Elsevier B.V. http://creativecommons.org/licenses/by/4.0/"}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"00104655","subitem_source_identifier_type":"ISSN"}]},"item_10001_text_33":{"attribute_name":"著者所属（英）","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"Department of Applied Mathematics and Physics, Tottori University"},{"subitem_text_language":"en","subitem_text_value":"Institute for Solid State Physics, University of Tokyo"},{"subitem_text_language":"en","subitem_text_value":"Institute for Solid State Physics, University of Tokyo"},{"subitem_text_language":"en","subitem_text_value":"Institute for Solid State Physics, University of Tokyo"},{"subitem_text_language":"en","subitem_text_value":"Institute for Solid State Physics, University of Tokyo"},{"subitem_text_language":"en","subitem_text_value":"Department of Applied Physics, University of Tokyo"},{"subitem_text_language":"en","subitem_text_value":"Department of Physics, University of Tokyo / Institute for Solid State Physics, University of Tokyo"},{"subitem_text_language":"en","subitem_text_value":"Institute for Solid State Physics, University of Tokyo"},{"subitem_text_language":"en","subitem_text_value":"Department of Applied Physics, Nagoya University"}]},"item_10001_version_type_20":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"星, 健夫"},{"creatorName":"ホシ, タケオ","creatorNameLang":"ja-Kana"},{"creatorName":"Hoshi, Takeo","creatorNameLang":"en"}],"nameIdentifiers":[{},{},{}]},{"creatorNames":[{"creatorName":"Kawamura, Mitsuaki","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Yoshimi, Kazuyoshi","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Motoyama, Yuichi","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Misawa, Takahiro","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Yamaji, Youhei","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Todo, Synge","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Kawashima, Naoki","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Sogabe, Tomohiro","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2023-03-17"}],"displaytype":"detail","filename":"cpc258_j.cpc.2020.107536.pdf","filesize":[{"value":"825.2 kB"}],"format":"application/pdf","licensefree":"© 2020 The Authors. Published by Elsevier B.V. http://creativecommons.org/licenses/by/4.0/","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"cpc258_j.cpc.2020.107536.pdf","url":"https://repository.lib.tottori-u.ac.jp/record/7158/files/cpc258_j.cpc.2020.107536.pdf"},"version_id":"2e885ac5-45a1-4d8e-a69d-bbb5498c888f"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Numerical linear algebra","subitem_subject_scheme":"Other"},{"subitem_subject":"Shifted linear equations","subitem_subject_scheme":"Other"},{"subitem_subject":"Krylov subspace method","subitem_subject_scheme":"Other"},{"subitem_subject":"Quantum lattice models","subitem_subject_scheme":"Other"},{"subitem_subject":"Numerical linear algebra","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Shifted linear equations","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Krylov subspace method","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Quantum lattice models","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article"}]},"item_title":"Kω ? Open-source library for the shifted Krylov subspace method of the form (zI?H)x=b","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Kω ? Open-source library for the shifted Krylov subspace method of the form (zI?H)x=b","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"10","path":["12","10"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2022-07-13"},"publish_date":"2022-07-13","publish_status":"0","recid":"7158","relation_version_is_last":true,"title":["Kω ? Open-source library for the shifted Krylov subspace method of the form (zI?H)x=b"],"weko_creator_id":"10","weko_shared_id":-1},"updated":"2023-09-29T00:36:40.480755+00:00"}