TY - JOUR
T1 - On Two Iteration Methods for the Quadratic Matrix Equations
AU - Bai , Z.-Z.
AU - Guo , X.-X.
AU - Yin , J.-F.
JO - International Journal of Numerical Analysis and Modeling
VL - 0
SP - 114
EP - 122
PY - 2005
DA - 2005/11
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/951.html
KW - 
AB - <p style="text-align: justify;">By simply transforming the quadratic matrix equation into an
equivalent fixed-point equation, we construct a successive approximation
method and a Newton&#39;s method based on this fixed-point equation. Under
suitable conditions, we prove the local convergence of these two
methods, as well as the linear convergence speed of the successive
approximation method and the quadratic convergence speed of the Newton&#39;s
method. Numerical results show that these new methods are accurate and
effective when they are used to solve the quadratic matrix equation.</p>