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あるクラスの無限行列二重固有値計算法
https://shizusan.repo.nii.ac.jp/records/62
https://shizusan.repo.nii.ac.jp/records/62c47bce5c-4adb-49b3-a15a-d29a85eeabf4
名前 / ファイル | ライセンス | アクション |
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KJ00004472440.pdf (868.6 kB)
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Item type | [ELS]紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2017-02-22 | |||||
タイトル | ||||||
タイトル | あるクラスの無限行列二重固有値計算法 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Computation of Double Eigenvalues for Infinite Matrices of a Certain Class | |||||
言語 | ||||||
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 | departmental bulletin paper | |||||
雑誌書誌ID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11331672 | |||||
著者 |
宮崎, 佳典
× 宮崎, 佳典× MIYAZAKI, Yoshinori |
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著者所属(日) | ||||||
静岡産業大学 国際情報学部 | ||||||
著者所属(英) | ||||||
en | ||||||
Faculty of Communications and Informatics, Shizuoka Sangyo University | ||||||
抄録(英) | ||||||
内容記述タイプ | Other | |||||
内容記述 | It has been shown that a series of three-term recurrence relations of a certain class is a powerful tool for solving zeros of some special functions and eigenvalue problems (EVPs) of certain differential equations. Such cases include: the zeros of J_v(z); the zeros of zJ′_v(z)+HJ_v(z); the EVP of the Mathieu differential equation; and the EVP of the spheroidal wave equation. Previously by the author, it was demonstrated that the three-term recurrence relations of the class may be reformulated as two different EVPs for infinite complex symmetric tridiagonal matrices, and also was shown that a necessary and sufficient condition that such infinite matrices have double eigenvalues was given. In this article, as a succession of the previous research, algorithms for the computation of two types of double pairs are proposed in two ways: by Newton Raphson method of two variables, and by matrix method combined with, say, pseudo-Newton Raphson method. As an example, the problem of finding double eigenvalues of the Mathieu differential equation is solved with its experiments. | |||||
書誌情報 |
静岡産業大学国際情報学部研究紀要 en : Bulletin of Shizuoka Sangyo University 巻 3, p. 83-99, 発行日 2001-02-28 |
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表示順 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 10 | |||||
アクセション番号 | ||||||
内容記述タイプ | Other | |||||
内容記述 | KJ00004472440 |