05998014

j

05998014 Chang, Kung-Ching Pearson, Kelly J. Zhang, Tan Primitivity, the convergence of the NQZ method, and the largest eigenvalue for nonnegative tensors. SIAM J. Matrix Anal. Appl. 32, No. 3, 806-819 (2011). 2011 Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA EN nonnegative tensor Perron-Frobenius theory primitve matrices largest eigenvalue irreducible tensor convergence numerical examples

doi:10.1137/100807120

The authors aim at extending the theory of primitive matrices to nonnegative tensors. They prove sufficient condition for primitivity and show some interesting properties. More they take under consideration the known NQZ method for calculating the largest eigenvalue of an irreducible tensor and extend such approach to primitive tensors. They prove the convergence of the proposed algorithm. Some numerical examples well enlighten theoretical results. Raffaella Pavani (Milano)