Kurume Institute of Technology, Kurume, Fukuoka 830-0052, Japan
My interesting area in Math. : Integrable discretization, Exact solution of nonlinear ordinary differencial equation
Recent Paper :
Integrable Discretization and its Applications, J. Comput. Appl. Math. 108 (1999) 57-73.
Using an integrable discretization of the Rayleigh quotient system, a new algorithm for computing the largest eigenvalue is obtained. The Rayleigh quotient system is discretized by our own method , which solves a quadratic differential equations explicitly. The algorithm converges more rapidly than Wilkinson's power method with a shift of the origin.