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Mathematics

Norimasa Shibutani

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.

Abstract :

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 [5], which solves a quadratic differential equations explicitly. The algorithm converges more rapidly than Wilkinson's power method with a shift of the origin.