Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4644842 | Applied Numerical Mathematics | 2016 | 19 Pages |
Abstract
We consider the convergence problem of some Newton-type methods for solving the inverse singular value problem with multiple and positive singular values. Under the nonsingularity assumption of the relative generalized Jacobian matrices at the solution c⁎c⁎, a convergence analysis for the multiple and positive case is provided and the superlinear or quadratical convergence properties are proved. Moreover, numerical experiments are given in the last section and comparisons are made.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Wei-ping Shen, Chong Li, Xiao-qing Jin, Jen-chih Yao,