| 1. | Approximation solution of characteristic equation of guide wave in a semicircle tunnel
半圆形隧道中导行波特征方程的近似求解 |
| 2. | The new algorithm can get an approximation solution for the scheduling quickly
这个算法可以快速地得到这种延误问题的近似解。 |
| 3. | In addition , in the solution set of corresponding equation , the expression of the optimal approximation solution to given matrix is derived
另外，导出了在矩阵方程的解集合中与给定矩阵的最佳逼近解的表达式。 |
| 4. | The formulas of general solution have been given , as well as the formulas of optimal approximation solution and numerical algorithms
我们给出了他们的通解的表达式，同时还给出了在谱约束下的最佳逼近解的表达式及数值计算方法。 |
| 5. | The singly scattered radiant intensity is computed analytically without approximation , preserving more of the angular dependence in the radiance than other approximation solutions
单次散射是可以精确求解的，没有作任何近似，这就使得与其他近似算法相比，该算法包含有更多的角度信息。 |
| 6. | The necessary and sufficient condition for centrosymmetric solution of matrix equation was presented and general solutions were obtained . the optimal approximation solution to a given matrix was provided in the solution set
先讨论一类矩阵方程存在中心对称解的充分必要条件,给出解的一般表达式,并在解集合中给出了与给定矩阵的最佳逼近解。 |
| 7. | By the polygonal approximation method , a global approximation solution is constructed for the initial - boundary value problem of nonconvex scalar conservation laws with two - side boundary effect , and its convergence to the global weak entropy solution of the corresponding problem is proved
摘要使用折线逼近法，对具有两条边界影响的非凸单个守恒律初边值问题构造了整体近似解，并证明其收敛到初边值问题的整体弱熵解。 |
| 8. | At last , on several linear manifolds , the conditions for the existence of and the general expressions of the symmetric , skew - symmetric and symmetric semi - definite solution of the linear matrix equation f3 ( x ) = 0 are discussed . and the related optimal approximation solutions are obtained
最后讨论了六类线性流形土矩阵方程儿( x ) = o分别具有对称解，反对称解和对称半正定解的条件，得到了方程和l一s问题解的通式，同时解决了解的最逼近问题 |
| 9. | This ph . d . thesis - firstly considers the real asymmetric , real symmetric , bisym - metric , and symmetric and skew antisymmetric matrix extension problems constrained by the matrix inverse problem ax = b . and also considers , in the solution set , of the corresponding matrix extension problems , the optimal approximation solution to a given matrix a * . the necessary and sufficient conditions for the existence of and the expressions for the above problems are derived , and the numerical algorithm and examples to solve the problems are also given
首次提出并讨论了矩阵反问题ax = b约束下实矩阵、实对称矩阵、双对称矩阵和对称次反对称矩阵的扩充问题，讨论了在其解集合中与给定矩阵a ~ *的最佳逼近问题，得到了问题的解存在的条件及通式的表示，给出求解问题的数值算法和数值例子。 |
| 10. | Applying variational method we analyze the existence and uniqueness for the solution of the corresponding boundary variational equation , truncated mrm boundary variational equation , and approximation truncated mrm boundary variational equation in detailed . we obtain the error estimation for various approximation solutions and construct the boundary integral method with constraint . we explain the principle for choosing the mesh size and the truncated number in mrm . finally the numerical examples show that the theoretical analysis is accord with the numerical experiment result
采用变分方法系统分析了相应问题的边界变分方程，截断的mrm边界变分方程与近似截断mrm边界变分方程解的存在唯一性，解释了网格宽度与mrm方法中截断数的选取原则，讨论了mrm方法中的迭代误差估计，给出了数值算例。 |
