@inproceedings{249bdef932824b3e8d2fa2e0cb5f8fb6,

title = "Higher order convergent algorithms with applications to polynomials and matrices",

abstract = "New stable higher order algorithms for computing matrix nth root are presented. Specifically, a generalization of Denman-Beaver iteration for matrix square and cubic roots are given. The new iterations are obtained by change of variables applied to variations of Newton's method and higher order methods. Extensions of these methods for orthonormalization of a rectangular matrix with respect to a positive definite matrix are also given.",

keywords = "Denman-beaver iteration, Matrix nth root, Matrix sign function, Newton's method, Orthonormalization",

author = "Hasan, {Mohammed A.}",

year = "2006",

month = dec,

day = "1",

language = "English (US)",

isbn = "0780393902",

series = "Proceedings - IEEE International Symposium on Circuits and Systems",

pages = "3698--3701",

booktitle = "ISCAS 2006",

note = "ISCAS 2006: 2006 IEEE International Symposium on Circuits and Systems ; Conference date: 21-05-2006 Through 24-05-2006",

}