{"_buckets": {"deposit": "9053d012-906b-44a3-8205-a3f634ef3ac3"}, "_deposit": {"id": "9072", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "9072"}, "status": "published"}, "_oai": {"id": "oai:nagoya.repo.nii.ac.jp:00009072", "sets": ["322"]}, "author_link": ["25457", "25458"], "item_10_alternative_title_19": {"attribute_name": "その他のタイトル", "attribute_value_mlt": [{"subitem_alternative_title": "Recent Developments in Algorithms for Solving Dense Eigenproblems (I) : Algorithm of Multiple Relatively Robust Representations", "subitem_alternative_title_language": "en"}]}, "item_10_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2005-06-25", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "2", "bibliographicPageEnd": "208", "bibliographicPageStart": "181", "bibliographicVolumeNumber": "15", "bibliographic_titles": [{"bibliographic_title": "日本応用数理学会論文誌", "bibliographic_titleLang": "ja"}]}]}, "item_10_description_4": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "The Algorithm of Multiple Relatively Robust Representations (MR^3) is a new algorithm for the symmetric tridiagonal eigenvalue/eigenvector problem proposed by I.Dhillon in 1997. It has attracted much attention because it can compute all the eigenvectors of an n x n matrix in only O(n^2) work and is easy to parallelize. In this article, we survey the papers related to the MR^3 algorithm and try to present a simple and easily understandable  picture of the algorithm by explaining, one by one, its key ingredients such as the relatively  robust representations of a symmetric tridiagonal matrix, the dqds algorithm for computing accurate eigenvalues and the twisted factorization for computing accurate eigenvectors. Limitations of the algorithm  and directions for future research are also discussed.", "subitem_description_language": "en", "subitem_description_type": "Abstract"}]}, "item_10_identifier_60": {"attribute_name": "URI", "attribute_value_mlt": [{"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/2237/10838"}]}, "item_10_publisher_32": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "日本応用数理学会", "subitem_publisher_language": "ja"}]}, "item_10_relation_43": {"attribute_name": "関連情報", "attribute_value_mlt": [{"subitem_relation_type": "isVersionOf", "subitem_relation_type_id": {"subitem_relation_type_id_text": "http://ci.nii.ac.jp/naid/10016594490/", "subitem_relation_type_select": "URI"}}]}, "item_10_rights_12": {"attribute_name": "権利", "attribute_value_mlt": [{"subitem_rights": "日本応用数理学会", "subitem_rights_language": "ja"}, {"subitem_rights": "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", "subitem_rights_language": "ja"}]}, "item_10_select_15": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "item_10_source_id_7": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "09172246", "subitem_source_identifier_type": "PISSN"}]}, "item_10_text_14": {"attribute_name": "フォーマット", "attribute_value_mlt": [{"subitem_text_value": "application/pdf"}]}, "item_1615787544753": {"attribute_name": "出版タイプ", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_970fb48d4fbd8a85", "subitem_version_type": "VoR"}]}, "item_access_right": {"attribute_name": "アクセス権", "attribute_value_mlt": [{"subitem_access_right": "open access", "subitem_access_right_uri": "http://purl.org/coar/access_right/c_abf2"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "山本, 有作", "creatorNameLang": "ja"}], "nameIdentifiers": [{"nameIdentifier": "25457", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Yamamoto, Yusaku", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "25458", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-02-19"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "yamamoto_988.pdf", "filesize": [{"value": "1.8 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 1800000.0, "url": {"label": "yamamoto_988.pdf", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/9072/files/yamamoto_988.pdf"}, "version_id": "3db07cb0-b932-4976-9559-fd379ffdebae"}]}, "item_language": {"attribute_name": "言語", "attribute_value_mlt": [{"subitem_language": "jpn"}]}, "item_resource_type": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "密行列固有値解法の最近の発展(I) : Multiple Relatively Robust Representationsアルゴリズム", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "密行列固有値解法の最近の発展(I) : Multiple Relatively Robust Representationsアルゴリズム", "subitem_title_language": "ja"}]}, "item_type_id": "10", "owner": "1", "path": ["322"], "permalink_uri": "http://hdl.handle.net/2237/10838", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2009-01-21"}, "publish_date": "2009-01-21", "publish_status": "0", "recid": "9072", "relation": {}, "relation_version_is_last": true, "title": ["密行列固有値解法の最近の発展(I) : Multiple Relatively Robust Representationsアルゴリズム"], "weko_shared_id": -1}