Abstract:

A method of multiple polynomial preconditioning technique for positive definite symmetric linear equations was proposed based on the na
ture of the quadratic function. It was proved that the method can make condition number better so as to improve operation efficiency. On the basis, a method of approximate solution of equations was designed, and the theoretical results and numerical results show the effectiveness of the method.

Key words: preconditioning technique, condition number, polynomial preconditioning technique