在研究梯度矩阵的同时，本文还给出了一种新的梯度算子。
A new gradient operator was presented for studying gradient matrix.
选择共轭梯度法解决由有限元法形成的大型稀疏矩阵方程，应用FORTRAN语言编制了数值模拟系统软件。
Conjugate gradient method were choosed to solve the large sparse matrix equations induced by the FEM and computer language FORTRAN was used to programme the numerical simulation system software.
共轭梯度法是最优化中最常用的方法之一，它具有算法简便、不需要矩阵存储等优点，十分适合于大规模优化问题。
Conjugate gradient method, which can be easily computed and requires no matrix storage, is one of the most popular and useful method for solving large scale optimization problems.
为了克服这一困难，本文通过引进一个仿射变换矩阵，构造仿射投影既约预条件共轭梯度路径来搜索获得迭代方向。
In order to overcome the difficulties, we introduce an affine scaling matrix, and form the affine scaling reduced preconditional conjugate gradient path to obtain a new accepted step.
提出了一种基于梯度投影矩阵下的求解线性约束下规划问题的神经网络。
A novel neural network is proposed, which solve the programming problems with linear restraints based on gradient projecting matrix.
它包括二维匹配滤波预处理以增强血管的灰度，以及用灰度-梯度共生矩阵的最大熵阈值化方法。
Entropy thresholding method is an automatic technique for thresholding of digital images based on gray level-gradient co-occurrence matrix and the maximum entropy principle.
本文根据消声器在实际工作过程中声管内温度发生变化的特点，推导了考虑气流和线性温度梯度情况下刚性直管的声场传递矩阵。
The transmission matrix of rigid straight pipe with mean flow and linear temperature gradient is established according to the actual case of silencer.
本文采用矩阵光学的方法，分析了高斯光束经球端面抛物型梯度折射率棒透镜的传播与变换特性。
Based on the matrix optics, the propagation and transformation characteristics of Gaussian beam through a parabolic gradient-index rod with the spherical end surfaces are analyzed.
利用优化函数的梯度阵和海森矩阵建立函数的二阶近似表达式在已确定的优化结果反向计算结构参数。
To reversely calculate structural parameters by using second-order approximate expression of the gradient matrix and Hessian matrix for optimization function in identified optimization results.
本文报导了一种新型低损耗单模光纤的光学耦合器。叙述了应用光线矩阵法和梯度光学理论的设计方法。
The paper reports a novel low loss single mode fiber optic coupler and describes the design procedures employing light matrix method and gradient optics theory.
采用矩阵光学方法研究了高斯光束通过非线性梯度折射率透镜的传输特性。
By using the matrix optics method, the propagation properties of Gaussian beams through a nonlinear gradient-index lens are studied.
本算法用自适应算法，二次型共轭梯度算法，解前后向预测构成的矩阵方程。
The new algorithm uses the quadratic conjugate gradient algorithm (QCGA) to solve the forward-backward linear prediction matrix equation.
并根据滤波矩阵的特殊性，？用共轭梯度法求解滤波方程。
According to the filter matrix particularity, the filter equation was solved by using conjugate gradient method.
根据高分子材料中三维应力应变关系建立了三维传递矩阵数学模型，模拟梯度聚氨酯在不同入射角下的吸声性能。
A three-dimensional transfer matrix model was presented to simulate the sound absorption coefficients of the graded polyurethanes based on relation of stress and strain of polymers.
利用广义逆矩阵的特性，改进了线性约束梯度投影法的理论。
In this paper, the theory of gradient projection methods for linearly constrained optimization formerly fomulated by the author is further improved.
首先计算文本区域的灰度-梯度共生矩阵，并根据目标函数快速地找到分割的灰度和梯度最佳阈值；
The gray-gradient co-occurrence matrix of the text region is calculated, and the optimum thresholds of segmented grayscale and gradient are found quickly according to the objective function.
提出了一种基于灰度-梯度共生矩阵模型和最大熵原理的自动阈值化方法。
In this paper, an automatic approach for thresholding based on gray level gradient co occurrence matrix model and the maximum entropy principles is proposed.
车牌定位是车牌自动识别系统中关键的第一步，传统的最大梯度差算法按图像像素矩阵的顺序进行扫描和运算，存在运算量大，耗时长的缺点。
The traditional MGD (maximum gradient difference) algorithm based on the order of the image pixels matrix has the shortcomings of the large operation measure and long-time running.
将权矩阵的学习过程归结为用梯度下降法求一组矛盾线性方程组的过程；
Then, the learning of the weight matrix can be done by means of solving a group of systems of linear equations. Last, the mathematical base of the outer-product leaming method is pointed out.
将权矩阵的学习过程归结为用梯度下降法求一组矛盾线性方程组的过程；
Then, the learning of the weight matrix can be done by means of solving a group of systems of linear equations. Last, the mathematical base of the outer-product leaming method is pointed out.
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