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Algorithms for Finding Inverse of Two Patterned Matrices over

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  • Xiaoyu Jiang
  • Kicheon Hong

Abstract

Circulant matrix families have become an important tool in network engineering. In this paper, two new patterned matrices over 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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  • Xiaoyu Jiang & Kicheon Hong, 2014. "Algorithms for Finding Inverse of Two Patterned Matrices over," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, August.
    • Handle: RePEc:hin:jnlaaa:840435
    DOI: 10.1155/2014/840435
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