Error Propagation in the Solution of Tridiagonal Liner Equations

• Item type: InfP(1)
• 公開日: 1965-01-01
• タイトル: Error Propagation in the Solution of Tridiagonal Liner Equations
• タイトル / 言語: en
• タイトル: Error Propagation in the Solution of Tridiagonal Liner Equations
• 言語: eng
• 資源タイプ / 資源タイプ識別子: http://purl.org/coar/resource_type/c_6501
• 資源タイプ: journal article
• 著者所属: College of Science and Engineering Nihon University Tokyo.
• 著者所属(英): en
• 著者所属(英): College of Science and Engineering, Nihon University, Tokyo.
• 著者名: Hideko, Nagasaka
• 著者名(英): Hideko, Nagasaka
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: The degree of ill-conditioning of a matrix A is measured by its condition number ?A?・?A-1? where ?A? is the norm of A.In particular if A is symmetric the norm can be taken as ?A?=｜λ1｜ and ?A-1?=｜λn｜-1 where λ1 denotes the numerically largest eigenvalue and λn the smallest one.If the condition number takes a large value it leads to the inaccuracy of the numerical solution of linear equations AX=b and it is usually thought that the inaccuracy of the numerical solution of linear equations is due mainly to such a sort of ill-conditioning.We want to show in the following remarkable examples that there is an another cause which gives the inaccuracy of the solution of linear equations.
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: The degree of ill-conditioning of a matrix A is measured by its condition number 窶泡窶磨E窶泡-1窶髦€,where 窶泡窶髦€ is the norm of A.In particular,if A is symmetric,the norm can be taken as 窶泡窶髦€=｜λ1｜ and 窶泡-1窶髦€=｜λn｜-1,where λ1 denotes the numerically largest eigenvalue and λn the smallest one.If the condition number takes a large value,it leads to the inaccuracy of the numerical solution of linear equations AX=b,and it is usually thought that the inaccuracy of the numerical solution of linear equations is due mainly to such a sort of ill-conditioning.We want to show,in the following remarkable examples,that there is an another cause which gives the inaccuracy of the solution of linear equations.
• 書誌レコードID / 収録物識別子タイプ: NCID
• 書誌レコードID / 収録物識別子: AA00674393
• 書誌情報: Information Processing in Japan; 巻 5, 号 0, p. 38-44, 発行日 1965-01-01
• 出版者 / 言語: ja
• 出版者: 情報処理学会