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. 1
In accordance with published data some methods of indirect determination of characteristic matrix polynome based upon orthogonalization of some vectors sequences have been outlined in the paper. The normal course of calculation process is shown to be dependent not only on the structure of the initia...
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/214451 |
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| Назва журналу: | Geofizicheskiy Zhurnal |
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Geofizicheskiy Zhurnal| id |
journalsuranua-geofizicheskiy-article-214451 |
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ojs |
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journalsuranua-geofizicheskiy-article-2144512020-10-15T17:11:11Z 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. 1 Chernaya, O. A. Yakimchik, A. I. In accordance with published data some methods of indirect determination of characteristic matrix polynome based upon orthogonalization of some vectors sequences have been outlined in the paper. The normal course of calculation process is shown to be dependent not only on the structure of the initial matrix but also on appropriate choice of the initial vector (or a couple of vectors if a method of bioorthogonalization is the case in point). Subbotin Institute of Geophysics of the NAS of Ukraine 2005-06-01 Article Article application/pdf https://journals.uran.ua/geofizicheskiy/article/view/214451 10.24028/gzh.0203-3100.v27i3.2005.214451 Geofizicheskiy Zhurnal; Vol. 27 No. 3 (2005); 503-511 Геофизический журнал; Том 27 № 3 (2005); 503-511 Геофізичний журнал; Том 27 № 3 (2005); 503-511 2524-1052 0203-3100 rus https://journals.uran.ua/geofizicheskiy/article/view/214451/214547 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. 1 |
| 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. 1 |
| 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. 1 |
| 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. 1 |
| 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. 1 |
| 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. 1 |
| 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. 1 |
| description |
In accordance with published data some methods of indirect determination of characteristic matrix polynome based upon orthogonalization of some vectors sequences have been outlined in the paper. The normal course of calculation process is shown to be dependent not only on the structure of the initial matrix but also on appropriate choice of the initial vector (or a couple of vectors if a method of bioorthogonalization is the case in point). |
| publisher |
Subbotin Institute of Geophysics of the NAS of Ukraine |
| publishDate |
2005 |
| url |
https://journals.uran.ua/geofizicheskiy/article/view/214451 |
| work_keys_str_mv |
AT chernayaoa ontheprocessesofdiorthogonalizationofsomevectorfamilieswhichappearwhilecharacteristicpolynomesofmatricesarebeingconstructedandwhichareusedforsolvingthesystemsoflinearalgebraicequations1 AT yakimchikai ontheprocessesofdiorthogonalizationofsomevectorfamilieswhichappearwhilecharacteristicpolynomesofmatricesarebeingconstructedandwhichareusedforsolvingthesystemsoflinearalgebraicequations1 |
| first_indexed |
2024-04-21T19:43:03Z |
| last_indexed |
2024-04-21T19:43:03Z |
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