Збіжність розвинень у ланцюгові дроби розв’язків матричних поліноміальних рівнянь
In this work, an approach for matrix equations is proposed, which allows to significantly clarify the conditions under which computational schemes will converge. The transformation for one-periodic matrix branched continued fractions into matrix continued fractions with blo...
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| Date: | 2023 |
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| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
2023
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| Subjects: | |
| Online Access: | https://www.fmmit.lviv.ua/index.php/fmmit/article/view/299 |
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| Journal Title: | Physico-mathematical modeling and informational technologies |
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Physico-mathematical modeling and informational technologies| Summary: | In this work, an approach for matrix equations is proposed, which allows to significantly clarify the conditions under which computational schemes will converge. The transformation for one-periodic matrix branched continued fractions into matrix continued fractions with block elements is obtained. This gives new sufficient signs of convergence to the solution of iterative methods for polynomial matrix equations of the nth order. |
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