重磁异常界面反演中的计算方法

迭代法和子空间法为重力异常界面反演最优化求解计算的两种方法。传统的最优化计算立意虽然简单明确，但迭代计算过程中必须的简化使得求解不稳定，加进一些限制条件之后，使计算量明显增大，以致使求解变得困难。通过引入子空间计算在矩阵求解中减少了工作量，使得加约束的最优化计算变得容易实现。通过理论分析，表明利用子空间方法的解的计算结果准确且效率较高。

The Solving Methods of Inversion on Interface Due to Gravity or Magnetic Source

Interative and subspace methods are two methods for solving the interface inverse problem of gravity anomaly,which are used to compute solutionof the optimization problem. The idea of conventional optimizing computation, though, is simple and clear,simplification instablized the solution during iterative computation. After some contrains are imposed, the computational load is clearly huge ,so that it is difficult for solution. In this paper,computational load is reduced by introducing subspace during solving matrices. Therefore the oplimizational computation added constrains is made to realize easily. Theoretic analysis shows that the solution is accurate and efficiency by using subspace methods.