Solution of Simultaneous Equations of Cosine Law Arising from Subjectivity Geometry

Yun Tian-quan

Volume 11 Issue 7

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Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(7): 591-595

Yun Tian-quan. Solution of Simultaneous Equations of Cosine Law Arising from Subjectivity Geometry[J]. Applied Mathematics and Mechanics, 1990, 11(7): 591-595.

Citation:

Yun Tian-quan. Solution of Simultaneous Equations of Cosine Law Arising from Subjectivity Geometry[J]. Applied Mathematics and Mechanics, 1990, 11(7): 591-595.

Citation:

Yun Tian-quan. Solution of Simultaneous Equations of Cosine Law Arising from Subjectivity Geometry[J]. Applied Mathematics and Mechanics, 1990, 11(7): 591-595.

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Solution of Simultaneous Equations of Cosine Law Arising from Subjectivity Geometry

Yun Tian-quan

Department of Mechanics, South China University of Technology, Guangzhou

Received Date: 1989-06-30
Publish Date: 1990-07-15

Abstract

Abstract

This paper discusses the solution of a group of two-order six elements rooted algebraic simultaneous equations set up by cosine law arising from the application example of subjectivity geometry^[1].By means of the implicit function theorem,this paper proves that there exists a unique real solution of those equations.Transforming this problem into an unconstrained nonlinear optimization problem,the solution can be found by known methods.A numerical example by descent method is given.

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References(3)

References

[1]	云天锉,主观几何初步探讨,应用数学和力学,10,8(1989),657-662.
[2]	数学手册编写组,《数学手册》,高等教育出版社,北京(1979),90.
[3]	夏道行等人编著,《实变函数论与泛函分析》(下册),人民教育出版社,北京(1979).

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