Complementarity eigenvalue problems for nonlinear matrix pencils

作者：

Highlights：

• Two algorithms for the solution of nonlinear complementarity eigenvalue problems of the non-polynomial type are proposed.

• Numerical experiments with randomly generated test examples for quadratic or trigonometric matrix pencils are presented.

• The computation of exact critical loads and buckling modes of columns with unilateral obstacles is efficiently addressed.

摘要

•Two algorithms for the solution of nonlinear complementarity eigenvalue problems of the non-polynomial type are proposed.•Numerical experiments with randomly generated test examples for quadratic or trigonometric matrix pencils are presented.•The computation of exact critical loads and buckling modes of columns with unilateral obstacles is efficiently addressed.

论文关键词：Unilateral buckling,Nonlinear complementarity eigenproblem,Nonpolynomial matrix pencil,Complementarity conditions,Zeros of a nonpolynomial function

论文评审过程：Received 14 October 2016, Accepted 2 May 2017, Available online 31 May 2017, Version of Record 31 May 2017.

论文官网地址：https://doi.org/10.1016/j.amc.2017.05.028