@Article{IJNAMB-1-109,
author = {A. Binder and J. Rebaza},
title = {Multiple Nonlinear Eigenvalues of Smooth Rank-deficient Matrices},
journal = {International Journal of Numerical Analysis Modeling Series B},
year = {2010},
volume = {1},
number = {1},
pages = {109--122},
abstract = {A smooth block LU factorization, coupled with Newton's method, is used to compute multiple nonlinear eigenvalues of smooth rank-deficient matrix functions A($\lambda$). We provide
conditions for such factorizations to exist and show that the algorithm for the computation of
multiple nonlinear eigenvalues converges quadratically, and is more efficient than one using QR
factorizations. A possible approach for cubic convergence is also discussed. Several numerical
examples are given for general and random nonlinear matrix functions A($\lambda$).},
issn = {},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnamb/328.html}
}