Weighted Singular-Valued Decomposition of Matrices and Methods of Solving Problems Weighted Pseudoinverse with Singular Weights
Weighted pseudoinverse matrices with singular weights and their expansions into matrix power series and matrix power products are obtained based on weighted singular-valued decomposition of matrices with singular weights. Boundary representations of weighted pseudoinverse matrices with singular weig...
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| Date: | 2019 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Кам'янець-Подільський національний університет імені Івана Огієнка
2019
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| Online Access: | http://mcm-math.kpnu.edu.ua/article/view/174059 |
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| Journal Title: | Mathematical and computer modelling. Series: Physical and mathematical sciences |
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Mathematical and computer modelling. Series: Physical and mathematical sciences| Summary: | Weighted pseudoinverse matrices with singular weights and their expansions into matrix power series and matrix power products are obtained based on weighted singular-valued decomposition of matrices with singular weights. Boundary representations of weighted pseudoinverse matrices with singular weights are obtained. Regularization methods for the calculation of weighted normal pseudosolutions with singular weights are constructed and investigated |
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