Weighted pseudoinversion with indefinite weights
We present the definition of weighted pseudoinverse matrices with nonsingular indefinite weights and study these matrices. The theorems on existence and uniqueness for these matrices are proved. Weighted pseudoinverse matrices with indefinite weights are represented in terms of the coefficients of c...
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| Дата: | 2018 |
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| Автори: | , , , , , , , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2018
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/1593 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | We present the definition of weighted pseudoinverse matrices with nonsingular indefinite weights and study these matrices.
The theorems on existence and uniqueness for these matrices are proved. Weighted pseudoinverse matrices with
indefinite weights are represented in terms of the coefficients of characteristic polynomials of symmetrizable matrices.
The decompositions of weighted pseudoinverse matrices into matrix power series and products and their limit representations
are obtained. We also propose regularized iterative methods for the determination of these matrices. |
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