HE Ji-huan. Ancient Chinese Algorithm:The Ying Buzu Shu(Method of Surplus and Deficiency)vs Newton Iteration Method[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1255-1260.
 Citation: HE Ji-huan. Ancient Chinese Algorithm:The Ying Buzu Shu(Method of Surplus and Deficiency)vs Newton Iteration Method[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1255-1260.

# Ancient Chinese Algorithm:The Ying Buzu Shu(Method of Surplus and Deficiency)vs Newton Iteration Method

• Received Date: 2001-07-19
• Rev Recd Date: 2002-04-01
• Publish Date: 2002-12-15
• An exploratory discussion of an ancient Chinese algorithm, the Ying Buzu Shu, in about 2nd century BC, known as the rule of double false position in the West is given. In addition to pointing out that the rule of double false position is actually a translation version of the ancient Chinese algorithm, a comparison with well-known Newton iteration method is also made. If derivative is introduced, the ancient Chinese algorithm reduces to the Newton method. A modification of the ancient Chinese algorithm is also proposed, and some of applications to nonlinear oscillators are illustrated.
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沈阳化工大学材料科学与工程学院 沈阳 110142

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