对角相似变换下的非负矩阵最大特征值算法

Abstract

Abstract: By introducing a parameter, we constructed a positive diagonal matrix related to the row sum of the iteration matrix. By using the positive diagonal similarity transformation of matrices, we gave a numerical algorithm for computing the maximum
eigenvalue and corresponding eigenvectors of irreducible nonnegative matrices. The selection of parameters in each step of the algorithm is flexibe and the convergence speed is improved.

Key words: irreducible nonnegative matrix, maximum eigenvalue, algorithm, diagonal similarity transformation

CLC Number:

O241.6

WANG Xincun, LV Hongbin, SHANG Yuying. Maximum Eigenvalue Algorithm of Nonnegative Matrix under Diagonal Similarity Transformation#br#[J].Journal of Jilin University Science Edition, 2019, 57(06): 1351-1356.

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Maximum Eigenvalue Algorithm of Nonnegative Matrix under Diagonal Similarity Transformation#br#

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