A modified Newton method for a quadratic vector equation arising in markovian binary trees

We prove the existence of solution for the quadratic vector equation arising in Markovian binary trees. A modified Newton method for finding the minimal solution of the equation is presented. The monotone convergence of the modified Newton method is proved. Numerical experiments show the efficiency...

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Bibliographic Details
Date:2016
Main Authors: Deng, Liang-Jian, He, Jun, Huang, Ting-Zhu, Денг, Ліанг-Жіян, Ге, Юн, Хуан, Тінг-Жу
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2016
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1873
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal