Show simple item record

dc.contributor.authorIbrahim, Nur Fadhilah
dc.contributor.supervisorProf. Guanglu Zhou
dc.contributor.supervisorProf.Yong Hong Wu

In this thesis we study the methods for finding the largest eigenvalue of tensors. In particular, we study the convergence of the methods and show that the method for rectangular tensors is Q-linear convergence under weak irreducibility condition. We further generalise the method to nonnegative polynomial eigenvalue problems. We prove that this method is convergent for nonhomogeneous irreducible nonnegative polynomials. Then, we apply this method to solve nonnegative polynomial optimization problems with spherical constraints.

dc.publisherCurtin University
dc.titleThe largest eigenvalue of nonnegative tensors
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusOpen access

Files in this item


This item appears in the following Collection(s)

Show simple item record