オハラ　アツミ   Atsumi Ohara   小原　敦美    所属   追手門学院大学  理工学部 数理・データサイエンス学科    職種   教授
言語種別	英語
発行・発表の年月	1996/11
形態種別	外国学術誌（First author）
査読	査読あり
標題	Dualistic differential geometry of positive definite matrices and its applications to related problems
執筆形態	代表編著
掲載誌名	LINEAR ALGEBRA AND ITS APPLICATIONS
掲載区分	国外
出版社・発行元	ELSEVIER SCIENCE INC
巻・号・頁	247(247),pp.31-53
著者・共著者	A Ohara,N Suda,SI Amari
概要	Analysis on the set of positive definite matrices is involved in many engineering problems. We develop a differential geometric theory of the set of positive definite matrices by means of a specific class of connections introduced into it. Consequently, various dualistic aspects of the set are elucidated. Next, using the theory, we derive new results and interesting geometrical interpretations for matrix approximation, positive definite matrix completion, and linear matrix inequality problems.
ISSN	0024-3795