查询词典 positive definite form

This paper is devoted to solving linear saddle point problems, Specifically, We consider nonsymmetric systems, written as usual in block form, where the upper left block is an invertible linear operator with positive definite symmetric part. Such saddle point problems arise, for example, in certain finite element and finite difference discretizations of NavierStokes equations, Oseen equations, and mixed finite element discretization of second order convection-diffusion problems.

中文题名求解鞍点问题的迭代方法副题名外文题名论文作者冯丽红导师曹志浩教授学科专业计算数学研究领域\研究方向学位级别博士学位授予单位复旦大学学位授予日期2002 论文页码总数87页关键词鞍点问题迭代方法网格离散线性方程组馆藏号BSLW /2003 /O241 /15 论文针对鞍点问题的求解分析了一些典型的快速算法。

At last the consistently symmetrical and positive definite properties between the energy matrices and the elastic matrices are clarified by using the theory of positive definite quadratic form of matrices.

最后，运用矩阵的正定二次型理论阐述了"能量矩阵与弹性矩阵"之间一致的对称性和正定性。

The physical meaning of the dynamical equilibrium relationships, velocity space-time distribution and energy propagation involved in the energy matrices can be described by the positive definite quadratic form of the energy matrices.

能量矩阵蕴含的动态力的平衡关系、速度的时间_空间分布和能量的传播及变化的物理意义，能够从能量矩阵的正定二次型特性表述出来。

The second part includes the definition of positive definite function and conditional positive definite function, the basic form of Radial Basis Function interpolation, the correctness of the inversion of the interpolation matrix, the error estimate based on Kringing function.

主要包括径向基函数的相关定义，基本的插值形式，插值矩阵的可逆性，以Kringing范数为基础的径向基函数插值的局部误差估计和径向基函数插值边界附近的情况。

The relation between the output phase differences and the losses of 2×2 and 3×3 optical fiber couplers with rotatory symmetry is deduced in this study, which is based on the characteristics of scattering matrix and Hermite positive definite quadratic form of the couplers.

前 言光纤耦合器用于诸如光纤干涉系统、光纤环、波分复用器件和光纤通信中的分集接收等场合时，除了要求适当的输出功率比以外，尚需考虑输出端光场间的相位关系［1～3］。

optical fiber coupler, scattering matrix ; output phase difference; Hermite quadratic form ; positive definite matrix

利用其散射矩阵为酉矩阵的么正性不难证明，2×2耦合器输出相位差恒为90°，与输出功率比无关，而耦合区具有旋转对称结构的3×3耦合器的输出相位差完全取决于输出功率比，特殊地，当等分功率输出时，输出

If A is a symmetric positive definite matrix, then the quadratic form x~ TAx can be written as a sum of squares. Equivalently, A is a sum of rank one matrices VV~T.

若A是对称正定矩阵，则二次型x~ TAx 能写成平方项的和，即A是秩为1的矩阵VV~T的和。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。