{"created":"2021-03-01T06:44:07.606670+00:00","id":8675,"links":{},"metadata":{"_buckets":{"deposit":"aeda235e-9b57-4d63-ae06-3a722721b990"},"_deposit":{"created_by":221,"id":"8675","owners":[221],"pid":{"revision_id":0,"type":"depid","value":"8675"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00008675","sets":["3:233:244"]},"author_link":["35613"],"item_12_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2000","bibliographicIssueDateType":"Issued"}}]},"item_12_date_granted_46":{"attribute_name":"学位授与年月日","attribute_value_mlt":[{"subitem_dategranted":"2000-03-24"}]},"item_12_degree_grantor_44":{"attribute_name":"学位授与大学","attribute_value_mlt":[{"subitem_degreegrantor":[{"subitem_degreegrantor_language":"ja","subitem_degreegrantor_name":"筑波大学"},{"subitem_degreegrantor_language":"en","subitem_degreegrantor_name":"University of Tsukuba"}],"subitem_degreegrantor_identifier":[{"subitem_degreegrantor_identifier_name":"12102","subitem_degreegrantor_identifier_scheme":"kakenhi"}]}]},"item_12_degree_name_43":{"attribute_name":"取得学位","attribute_value_mlt":[{"subitem_degreename":"博士（工学） "},{"subitem_degreename":"Doctor of Philosophy in Engineering"}]},"item_12_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"This paper is strongly based on two powerful general theorems proved by Ikebe, et. al in 1993[15] and 1996[13], which will be referred to as Theorem A and Theorem B in this paper. They were recently published and justify the approximate computations of simple eigenvalues of infinite matrices of certain types by truncation, giving an extremely accurate error estimates. So far, they have applied to some important problems in engineering, such as computing the zeros of some special functions, and the eigenvalues of some differential equations. Such applocations include (A) the computation of the zeros of Jv(z)(where Jv(z) denotes the Bessel function of the first kind of order v, (B) the computation of the zeros of z[?](z)+HJ(z), and (C) the (ordinary) EVP (Eigen Value Problem) of the Mathieu differential equation. There are two main objectives in this paper. The first one is to expand the range of applications which either Theorem A or Theorem B may apply. It is shown in this article that for three more such problems, one is enabled to give methods for approximate solutions. They are enumerated as (a) the computation of the zeros of Coulomb wave function FL(η, ρ) and its first derivative, (b) the inverse EVP of the Mathieu differential equation, and (c) the ordinary and inverse EVP of the spheroidal wave equation. With the consideration that the above stated 4 problems (A), (B), (C)(or (b)) and (c)(note that problem (a) is excluded) have something in common in their reformulated forms as infinite matrix eigenvalue problems, the generalization of such eigenvalue problems is attempted. Thus obtained generalized eigenvalue problems may be applied by Theorem B, and also are easily transformed into another type of eigenvalue problems, which is indeed subsumed into the class Theorem A may apply. In fact, this transformed problem can be regarded as the inverse problem to the first one.  ･･･","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_12_description_45":{"attribute_name":"学位授与年度","attribute_value_mlt":[{"subitem_description":"1999","subitem_description_type":"Other"}]},"item_12_description_5":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"Includes bibliographical references (p. 88-90)","subitem_description_language":"en","subitem_description_type":"Other"}]},"item_12_dissertation_number_47":{"attribute_name":"報告番号","attribute_value_mlt":[{"subitem_dissertationnumber":"乙第1620号"}]},"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":"Miyazaki, Yoshinori","creatorNameLang":"en"},{"creatorName":"宮崎, 佳典","creatorNameLang":"ja"}],"nameIdentifiers":[{"nameIdentifier":"35613","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":"2013-12-18"}],"displaytype":"detail","filename":"B1620.pdf","filesize":[{"value":"76.4 kB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"abstract","url":"https://tsukuba.repo.nii.ac.jp/record/8675/files/B1620.pdf"},"version_id":"43f604c5-42ce-49c3-b14a-a623dc0d2998"},{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2013-12-18"}],"displaytype":"detail","filename":"1.pdf","filesize":[{"value":"88.5 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