矩阵方程Y^2=X^3+aX+bI的椭圆曲线型解

Elliptic Curve Type Solutions of Matrix Equation Y^2=X^3+aX+bI

本文提出了矩阵方程Y2=X3+aX+bI的椭圆曲线型解的概念,初步研究了其中的特殊类型Jordan型解与有理解的结构。

The concept of elliptic curve type solutions of matrix equation y2=X3＋aX＋bI is introduced, and some special cases such as Jordan and rational forms are discussed.