On the processes of diorthogonalization of some vector families, which appear while characteristic polynomes of matrices are being constructed and which are used for solving the systems of linear algebraic equations. 2
The areas of applying the methods presented in the first part of this work and used while proper vectors are being determined and solutions of the system of linear equations are being looked for have been characterized. The study of proposed methods differs from conventional one and involves constru...
Збережено в:
| Дата: | 2005 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | rus |
| Опубліковано: |
Subbotin Institute of Geophysics of the NAS of Ukraine
2005
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| Онлайн доступ: | https://journals.uran.ua/geofizicheskiy/article/view/214452 |
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| Назва журналу: | Geofizicheskiy Zhurnal |
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Geofizicheskiy Zhurnal| id |
journalsuranua-geofizicheskiy-article-214452 |
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ojs |
| spelling |
journalsuranua-geofizicheskiy-article-2144522020-10-15T17:11:59Z On the processes of diorthogonalization of some vector families, which appear while characteristic polynomes of matrices are being constructed and which are used for solving the systems of linear algebraic equations. 2 Chernaya, O. A. Yakimchik, A. I. The areas of applying the methods presented in the first part of this work and used while proper vectors are being determined and solutions of the system of linear equations are being looked for have been characterized. The study of proposed methods differs from conventional one and involves constructing orthonormalized or A–orthonormalized vector sequences. Optimal ways for the choice of initial vectors of totalities being constructed have been shown. Stable procedures of diorthogonalization of orthonormalized, A–orthonormalized or biorthonormalized vector systems have been found, which allow to determine with high precision both vectors of multitudes being constructed and coefficients of characteristic polynome. Subbotin Institute of Geophysics of the NAS of Ukraine 2005-10-01 Article Article application/pdf https://journals.uran.ua/geofizicheskiy/article/view/214452 10.24028/gzh.0203-3100.v27i5.2005.214452 Geofizicheskiy Zhurnal; Vol. 27 No. 5 (2005); 790-805 Геофизический журнал; Том 27 № 5 (2005); 790-805 Геофізичний журнал; Том 27 № 5 (2005); 790-805 2524-1052 0203-3100 rus https://journals.uran.ua/geofizicheskiy/article/view/214452/214548 Copyright (c) 2020 Geofizicheskiy Zhurnal https://creativecommons.org/licenses/by/4.0 |
| institution |
Geofizicheskiy Zhurnal |
| collection |
OJS |
| language |
rus |
| format |
Article |
| author |
Chernaya, O. A. Yakimchik, A. I. |
| spellingShingle |
Chernaya, O. A. Yakimchik, A. I. On the processes of diorthogonalization of some vector families, which appear while characteristic polynomes of matrices are being constructed and which are used for solving the systems of linear algebraic equations. 2 |
| author_facet |
Chernaya, O. A. Yakimchik, A. I. |
| author_sort |
Chernaya, O. A. |
| title |
On the processes of diorthogonalization of some vector families, which appear while characteristic polynomes of matrices are being constructed and which are used for solving the systems of linear algebraic equations. 2 |
| title_short |
On the processes of diorthogonalization of some vector families, which appear while characteristic polynomes of matrices are being constructed and which are used for solving the systems of linear algebraic equations. 2 |
| title_full |
On the processes of diorthogonalization of some vector families, which appear while characteristic polynomes of matrices are being constructed and which are used for solving the systems of linear algebraic equations. 2 |
| title_fullStr |
On the processes of diorthogonalization of some vector families, which appear while characteristic polynomes of matrices are being constructed and which are used for solving the systems of linear algebraic equations. 2 |
| title_full_unstemmed |
On the processes of diorthogonalization of some vector families, which appear while characteristic polynomes of matrices are being constructed and which are used for solving the systems of linear algebraic equations. 2 |
| title_sort |
on the processes of diorthogonalization of some vector families, which appear while characteristic polynomes of matrices are being constructed and which are used for solving the systems of linear algebraic equations. 2 |
| description |
The areas of applying the methods presented in the first part of this work and used while proper vectors are being determined and solutions of the system of linear equations are being looked for have been characterized. The study of proposed methods differs from conventional one and involves constructing orthonormalized or A–orthonormalized vector sequences. Optimal ways for the choice of initial vectors of totalities being constructed have been shown. Stable procedures of diorthogonalization of orthonormalized, A–orthonormalized or biorthonormalized vector systems have been found, which allow to determine with high precision both vectors of multitudes being constructed and coefficients of characteristic polynome. |
| publisher |
Subbotin Institute of Geophysics of the NAS of Ukraine |
| publishDate |
2005 |
| url |
https://journals.uran.ua/geofizicheskiy/article/view/214452 |
| work_keys_str_mv |
AT chernayaoa ontheprocessesofdiorthogonalizationofsomevectorfamilieswhichappearwhilecharacteristicpolynomesofmatricesarebeingconstructedandwhichareusedforsolvingthesystemsoflinearalgebraicequations2 AT yakimchikai ontheprocessesofdiorthogonalizationofsomevectorfamilieswhichappearwhilecharacteristicpolynomesofmatricesarebeingconstructedandwhichareusedforsolvingthesystemsoflinearalgebraicequations2 |
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2024-04-21T19:43:04Z |
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2024-04-21T19:43:04Z |
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