基于切比雪夫多项式加速求解 PageRank 的类海森伯格算法

Abstract

Abstract:

In order to solve the PageRank problem, a new algorithm Hessenberg-Chebyshev is proposed by combining Hessenberg-type algorithm with Chebyshev acceleration technology. This algorithm improves the Hessenberg-type algorithm based on the acceleration technique of Chebyshev polynomial. The implementation and convergence analysis of the new algorithm are discussed in detail, and the effectiveness of the algorithm is verified by numerical experiments.

Key words: Hessenberg process, Chebyshev polynomials, iterative method, convergence, PageRank

CLC Number:

O241.6

Wang Qiongqiong, Tang Jia. Hessenberg-Type Algorithm for PageRank Acceleration Based on Chebyshev Polynomials[J].Acta mathematica scientia,Series A, 2025, 45(4): 1291-1300.

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Hessenberg-Type Algorithm for PageRank Acceleration Based on Chebyshev Polynomials

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