{"created":"2025-02-21T03:15:36.942513+00:00","id":2006257,"links":{},"metadata":{"_buckets":{"deposit":"cf10ace0-44cc-4236-bb94-2049a27e2a8c"},"_deposit":{"created_by":41,"id":"2006257","owners":[41],"pid":{"revision_id":0,"type":"depid","value":"2006257"},"status":"published"},"_oai":{"id":"oai:hiroshima.repo.nii.ac.jp:02006257","sets":["1730444907710"]},"author_link":[],"item_1617186331708":{"attribute_name":"Title","attribute_value_mlt":[{"subitem_title":"Numerical solution of stochastic Nash games with state-dependent noise for weakly coupled large-scale systems","subitem_title_language":"en"}]},"item_1617186419668":{"attribute_name":"Creator","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Sagara, Muneomi","creatorNameLang":"en"}],"familyNames":[{"familyName":"Sagara","familyNameLang":"en"}],"givenNames":[{"givenName":"Muneomi","givenNameLang":"en"}]},{"creatorNames":[{"creatorName":"Mukaidani, Hiroaki","creatorNameLang":"en"}],"familyNames":[{"familyName":"Mukaidani","familyNameLang":"en"}],"givenNames":[{"givenName":"Hiroaki","givenNameLang":"en"}]},{"creatorNames":[{"creatorName":"Yamamoto, Toru","creatorNameLang":"en"}],"familyNames":[{"familyName":"Yamamoto","familyNameLang":"en"}],"givenNames":[{"givenName":"Toru","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) 2007 Elsevier Inc"}]},"item_1617186609386":{"attribute_name":"Subject","attribute_value_mlt":[{"subitem_subject":"stochastic Nash games","subitem_subject_scheme":"Other"},{"subitem_subject":"cross-coupled stochastic algebraic Riccati equations","subitem_subject_scheme":"Other"},{"subitem_subject":"CSAREs","subitem_subject_scheme":"Other"},{"subitem_subject":"Newton's method","subitem_subject_scheme":"Other"},{"subitem_subject":"Newton–Kantorovich theorem","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":"This paper discusses the infinite horizon stochastic Nash games with state-dependent noise. After establishing the asymptotic structure along with the positive semidefiniteness for the solutions of the cross-coupled stochastic algebraic Riccati equations (CSAREs), a new algorithm that combines Newton's method with two fixed point algorithms for solving the CSAREs is derived. As a result, it is shown that the proposed algorithm attains quadratic convergence and the reduced-order computations for sufficiently small parameter ε. As another important feature, the high-order approximate strategy that is based on the iterative solutions is proposed. Using such strategy, the degradation of the cost functional is investigated. Finally, in order to demonstrate the efficiency of the proposed algorithms, computational examples are provided.","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":"844"}]},"item_1617187056579":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2008-04","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"857","bibliographicPageStart":"844","bibliographicVolumeNumber":"197","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.2007.08.019","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.2007.08.019","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_197_844.pdf","filesize":[{"value":"124.1 KB"}],"mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://hiroshima.repo.nii.ac.jp/record/2006257/files/AMC_197_844.pdf"},"version_id":"21c41126-b210-4bbf-9375-cf9df42e0a17"}]},"item_1732771732025":{"attribute_name":"旧ID","attribute_value":"26408"},"item_title":"Numerical solution of stochastic Nash games with state-dependent noise for weakly coupled large-scale 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":"2006257","relation_version_is_last":true,"title":["Numerical solution of stochastic Nash games with state-dependent noise for weakly coupled large-scale systems"],"weko_creator_id":"41","weko_shared_id":-1},"updated":"2025-02-21T07:04:48.379030+00:00"}