Title of article :
Improved Newton’s method with exact line searches to solve quadratic matrix equation
Author/Authors :
Long، نويسنده , , Jian-hui and Hu، نويسنده , , Xiyan and Zhang، نويسنده , , Lei، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2008
Abstract :
In this paper, we study the matrix equation A X 2 + B X + C = 0 , where A , B and C are square matrices. We give two improved algorithms which are better than Newton’s method with exact line searches to calculate the solution. Some numerical examples are reported to illustrate our algorithms.
Keywords :
Exact line search , S?amanskii technique , Newton’s method , solvent , Quadratic matrix equation
Journal title :
Journal of Computational and Applied Mathematics
Journal title :
Journal of Computational and Applied Mathematics