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pro vyhledávání: '"Xue-Yuan Tan"'
Autor:
Xue-Yuan Tan, Cun-Qiang Miao
Publikováno v:
International Journal of Computer Mathematics. 97:1982-1993
We provide a concise overview of some iterative approaches, by which large and sparse eigenvalue problems are successfully dealt with. Our main goal in this paper is to prove the global convergence...
Publikováno v:
Journal of Computational and Applied Mathematics, 346, 456-470. ELSEVIER SCIENCE BV
PageRank problem is the cornerstone of Google search engine and is usually stated as solving a huge linear system. Moreover, when the damping factor approaches 1, the spectrum properties of this system deteriorate rapidly and this system becomes diff
Autor:
Xue-Yuan Tan
Publikováno v:
Journal of Computational and Applied Mathematics. 313:383-392
The PageRank algorithm is widely considered these years because of its great significance in search engine technology and other scientific domains. Though the power method is the initial measure to settle the PageRank problem, it gives poor convergen
Autor:
Xue-Yuan Tan, Cun-Qiang Miao
Publikováno v:
Journal of Computational and Applied Mathematics. 377:112891
In this paper, by integrating the Arnoldi method with the Chebyshev acceleration technique, we present the Arnoldi–Chebyshev method for computing the PageRank vector of the Google matrix. Convergence analysis of this method is exhibited. In additio
Autor:
Xue-Yuan Tan
Publikováno v:
Numerical Algorithms. 75:245-260
Based on the SSOR-like iteration method of Bai (Numer. Linear Algebra Appl. 23, 37-60, 2016), we give a shifted SSOR-like preconditioner which is positive definite for solving the non-Hermitian positive definite linear system with a dominant Hermitia
Publikováno v:
Advanced Materials Research. :466-470
The functions of transformer oil in the transformer were insulation and cooling, its position was very important. Oil usually keeps its good oxidation resistance by adding antioxidants, the most common used antioxidants in the transformer oil was T50
Autor:
Xue-Yuan Tan, Yong-Lin Chen
Publikováno v:
Applied Mathematics and Computation. 167:930-956
In this paper we simultaneously study iterations and extrapolated iterations for the consistent rectangular or sigular linear systems(1.1)Ax=b. In the case that A is rectangular, let A=M-N be a subproper splitting of A and let the generalized inverse
Autor:
Yong-Lin Chen, Xue-Yuan Tan
Publikováno v:
Applied Mathematics and Computation. 163:309-325
In this paper, we study the iterative methods for computing the generalized inverses of the form A^(^2^)"T","S. We prove the result that if A has the splitting A=M-N and if the generalized inverses A^(^2^)"T","S and M^(^2^)"T","S exist, then the iter