Algorithms for finding inverse of two patterned matrices over \(\mathbb{Z}_p\) (Q1725108)
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scientific article; zbMATH DE number 7023177
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algorithms for finding inverse of two patterned matrices over \(\mathbb{Z}_p\) |
scientific article; zbMATH DE number 7023177 |
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Algorithms for finding inverse of two patterned matrices over \(\mathbb{Z}_p\) (English)
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14 February 2019
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Summary: Circulant matrix families have become an important tool in network engineering. In this paper, two new patterned matrices over \(\mathbb{Z}_p\) which include row skew first-plus-last right circulant matrix and row first-plus-last left circulant matrix are presented. Their basic properties are discussed. Based on Newton-Hensel lifting and Chinese remaindering, two different algorithms are obtained. Moreover, the cost in terms of bit operations for each algorithm is given.
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