Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (5): 1130-1134.

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Maximum Eigenvalue Algorithm for Irreducible Nonnegative Matrix Based on Collatz-Wielandt Function

LV Hongbin1, ZHANG Meili1, SHANG Yuying1, WANG Xincun2   

  1. 1. School of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin Province, China; 2. Teachers College, Eastern Liaoning University, Dandong 118003, Liaoning Province, China
  • Received:2020-04-20 Online:2020-09-26 Published:2020-11-18

Abstract: We gave an algorithm for calculating the maximum eigenvalues and corresponding eigenvectors of irreducible nonnegative matrices with parameter variables by using Collatz-Wielandt function,  the parameters could  be selected appropriately at every step of iteration of the algorithm to optimize  the algorithm.

Key words: irreducible nonnegative matrix, maximum eigenvalue, algorithm, Collatz-Wielandt function

CLC Number: 

  • O241.6