主 题: Solving Multi-linear Systems withM-Tensors
报告人: 魏益民 教授 (复旦大学)
时 间: 2016-08-22 10:00-11:00
地 点: 理科一号楼 1569
This talk is concerned with solving some structured multi-linear systems,
especially focusing on the equations whose coefficient tensors are M-tensors, or called
M-equations for short. We prove that a nonsingularM-equation with a positive right-hand
side always has a unique positive solution. Several iterative algorithms are proposed for
solving multi-linear nonsingular M-equations, generalizing the classical iterative methods
and the Newton method for linear systems. Furthermore, we apply theM-equations to some
nonlinear differential equations and the inverse iteration for spectral radii of nonnegative
tensors.
