Existence and uniqueness of weighted pseudoinverse matrices and weighted normal pseudosolutions with singular weights
For one of definitions of weighted pseudoinversion with singular weights, necessary and sufficient conditions for the existence and uniqueness are obtained. Expansions of weighted pseudoinverse matrices in matrix power series and matrix power products are obtained. Relationship is established betw...
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| Дата: | 2011 |
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| Автори: | , , , , , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2011
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/2700 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | For one of definitions of weighted pseudoinversion with singular weights, necessary and sufficient conditions for the existence and uniqueness are obtained.
Expansions of weighted pseudoinverse matrices in matrix power series and matrix power products are obtained.
Relationship is established between the weighted pseudoinverse matrices and the weighted normal pseudosolutions.
Iterative methods for the calculation of both weighted pseudoinverse matrices and weighted normal pseudosolutions are constructed. |
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