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.
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.
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.