{"created":"2025-02-21T03:15:33.558028+00:00","id":2006255,"links":{},"metadata":{"_buckets":{"deposit":"2ee27042-4adb-41f2-a441-49c351b8759d"},"_deposit":{"created_by":41,"id":"2006255","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2006255"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02006255","sets":["1730444907710"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"A numerical algorithm for finding solution of sign-indefinite algebraic Riccati equations for general multiparameter singularly perturbed systems","subitem_title_language":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Mukaidani, Hiroaki","creatorNameLang":"en"}],"familyNames":[{"familyName":"Mukaidani","familyNameLang":"en"}],"givenNames":[{"givenName":"Hiroaki","givenNameLang":"en"}]}]},"item_1617186476635":{"attribute_name":"Access Rights","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_1617186499011":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"Copyright (c) 2006 Elsevier Inc"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"general multiparameter singularly perturbed system","subitem_subject_scheme":"Other"},{"subitem_subject":"GMSPS","subitem_subject_scheme":"Other"},{"subitem_subject":"sign-indefinite general multiparameter algebraic Riccati equation","subitem_subject_scheme":"Other"},{"subitem_subject":"SIGMARE","subitem_subject_scheme":"Other"},{"subitem_subject":"H∞ filtering problem","subitem_subject_scheme":"Other"},{"subitem_subject":"Newton's method","subitem_subject_scheme":"Other"},{"subitem_subject":"fixed point algorithm","subitem_subject_scheme":"Other"},{"subitem_subject":"530","subitem_subject_scheme":"NDC"}]},"item_1617186626617":{"attribute_name":"Description","attribute_value_mlt":[{"subitem_description":"In this paper, a computational algorithm for solving sign-indefinite general multiparameter algebraic Riccati equation (SIGMARE) that arises in the H∞ filtering problem is investigated. After establishing the asymptotic structure of the solution of the SIGMARE, in order to solve the SIGMARE, Newton's method and two fixed point algorithms are combined. As a result, the new iterative algorithm achieves the quadratic convergence property and succeeds in reducing the computing workspace dramatically. As another important feature, the convergence criteria for small parameters εi is derived for the first time. Moreover, it is shown that the uniqueness and positive semidefiniteness of the convergence solutions are guaranteed in the neighborhood of the initial conditions.","subitem_description_language":"en"}]},"item_1617186643794":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Elsevier Inc"}]},"item_1617186702042":{"attribute_name":"Language","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_1617186920753":{"attribute_name":"Source Identifier","attribute_value_mlt":[{"subitem_source_identifier":"0096-3003","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"AA00543329","subitem_source_identifier_type":"NCID"}]},"item_1617187024783":{"attribute_name":"Page Start","attribute_value_mlt":[{"subitem_start_page":"255"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2007-06","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"270","bibliographicPageStart":"255","bibliographicVolumeNumber":"189","bibliographic_titles":[{"bibliographic_title":"Applied Mathematics and Computation"},{"bibliographic_title":"Applied Mathematics and Computation"}]}]},"item_1617258105262":{"attribute_name":"Resource Type","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_1617265215918":{"attribute_name":"Version Type","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_b1a7d7d4d402bcce","subitem_version_type":"AO"}]},"item_1617353299429":{"attribute_name":"Relation","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1016/j.amc.2006.11.088","subitem_relation_type_select":"DOI"}},{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"http://dx.doi.org/10.1016/j.amc.2006.11.088","subitem_relation_type_select":"DOI"}}]},"item_1617605131499":{"attribute_name":"File","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2023-03-18"}],"displaytype":"simple","filename":"AMC_189_255.pdf","filesize":[{"value":"132.7 KB"}],"mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2006255/files/AMC_189_255.pdf"},"version_id":"8dc05be6-3e07-4930-a37a-fd47e93310b8"}]},"item_1732771732025":{"attribute_name":"旧ID","attribute_value":"26406"},"item_title":"A numerical algorithm for finding solution of sign-indefinite algebraic Riccati equations for general multiparameter singularly perturbed systems","item_type_id":"40003","owner":"41","path":["1730444907710"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2023-03-18"},"publish_date":"2023-03-18","publish_status":"0","recid":"2006255","relation_version_is_last":true,"title":["A numerical algorithm for finding solution of sign-indefinite algebraic Riccati equations for general multiparameter singularly perturbed systems"],"weko_creator_id":"41","weko_shared_id":-1},"updated":"2025-02-21T07:04:36.946383+00:00"}