An Application of Homotopy Method to Solving Primal-Dual Linear Programming Problems;

One type is the system of nonlinear polynomial equations, and a numerical approach using the homotopy method is presented to work out all the complex or real solutions to the polynomial systems without initial value selection.

In this paper,the method is suggested to determine multiple solutions of mechanical optimization problem by real number homotopy method.

This paper introduces the homotopy algorithm into back-propagation neural network and indicates that the convergence speed can be improved and the defects of converging to local extremum can be eliminated.

The homotopy algorithm,basing on homotopy mapping,is convergent with wide range.

This paper introduces an optimization method of the selective harmonic elimination(SHE) technology based on the homotopy algorithm applied to neutral-point-clamped(NPC) three-level inverters.

Study on the new homology continuation algorithm and its application in motor;

The homology continuation algorithm has resolved this difficult problem without given initial value and can find all solution,but a special programming is compiled at the same time.

The algorithm related to homotopy method provides a systematic approach for deriving optimal solution of relative minimum.

A time stepping scheme is used for the transient analysis and a homotopy method is adopted to solve the process.

A constructive proof of a class of nonconvex Brouwer fixed point problems is pre-sented, and the theoretical base of homotopy method to the problem has been created.

Backcalculation of modulus for pavements based on homotopy method;

Homotopy method for multi-objective programming problems;

A regularization homotopy method for solving nonlinear ill-posed problems;

Based on homotopy methods,a robust global convergence method was developed for solving nonlinear inverse problems.