{"created":"2022-06-09T05:17:34.026218+00:00","id":2000367,"links":{},"metadata":{"_buckets":{"deposit":"63aca0f7-d11f-4202-a191-513eb766d20f"},"_deposit":{"created_by":18,"id":"2000367","owner":"18","owners":[18],"owners_ext":{"displayname":"NII","username":"niirepo"},"pid":{"revision_id":0,"type":"depid","value":"2000367"},"status":"published"},"_oai":{"id":"oai:repository.nii.ac.jp:02000367","sets":["136"]},"author_link":[],"control_number":"2000367","item_5_biblio_info_30":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2018-07-29","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"7","bibliographicPageStart":"1","bibliographic_titles":[{"bibliographic_title":"NIIテクニカル・レポート","bibliographic_titleLang":"ja"},{"bibliographic_title":"NII Technical Report","bibliographic_titleLang":"en"}]}]},"item_5_description_28":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In this short paper, we analyze the convergence of the Conjugate Gradient (CG) method in exact arithmetic, when the coefficient matrix A is symmetric positive semidefinite and the system is consistent. To do so, we diagonalize A and decompose the algorithm into the range and the null space components of A. Further, we apply the analysis to the CGLS and CGNE (CG Normal Error) methods for rank-deficient least squares problems.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_5_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.20736/0002000367","subitem_identifier_reg_type":"JaLC"}]},"item_5_publisher_31":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"国立情報学研究所","subitem_publisher_language":"ja"}]},"item_5_source_id_32":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1346-5597","subitem_source_identifier_type":"ISSN"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"速水, 謙","creatorNameLang":"ja"},{"creatorName":"Hayami, Ken","creatorNameLang":"en"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2022-06-09"}],"displaytype":"detail","filename":"18-001E.pdf","filesize":[{"value":"120 KB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"NII Technical Report (NII-2018-001E)：Convergence of the Conjugate Gradient Method on Singular Systems","url":"https://repository.nii.ac.jp/record/2000367/files/18-001E.pdf"},"version_id":"b95cf620-0df9-461e-aa2c-028a2a723865"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"テクニカルレポート","subitem_subject_language":"ja","subitem_subject_scheme":"Other"},{"subitem_subject":"Technical Report","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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"NII Technical Report (NII-2018-001E)：Convergence of the Conjugate Gradient Method on Singular Systems","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"NII Technical Report (NII-2018-001E)：Convergence of the Conjugate Gradient Method on Singular Systems","subitem_title_language":"en"}]},"item_type_id":"5","owner":"18","path":["136"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2022-06-09"},"publish_date":"2022-06-09","publish_status":"0","recid":"2000367","relation_version_is_last":true,"title":["NII Technical Report (NII-2018-001E)：Convergence of the Conjugate Gradient Method on Singular Systems"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-01-11T05:53:16.744564+00:00"}