hessian matrix

Trust region method is proposed for generalized nonlinear dynamic least-square data processing aiming at error equations containing random and nonrandom parameters simultaneity, and corresponding algorithm model is built, where only function and its one-order derivative is used, and approximate Hessian matrix is built through adjusted BFGS.

针对误差方程中同时包含非随机参数和随机参数的情况，提出了一种广义非线性动态最小二乘测量数据处理的新方法，即信赖域方法，并建立了相应的解算模型。

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It is shown that the Hessian matrix and the density of states can be obtained reasonably using the equivalent Coulomb potential in the form of the complementary error function.

计算实践表明，取用余误差函数形式的等效库仑势，可以合理地得到Hessian矩阵和态密度。

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However, the traditional trust region subproblem may meet difficulty. The Hessian matrix of the trust region subproblem may not be positive definite. In this case, the convergence rate of some trust region methods is only linear.

但传统的信赖域算法存在如下弱点：当信赖域子问题的海森矩阵不正定时，数值计算上存在一定困难，此时有些算法只具有线性收敛速度。

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A method to detect the sub-pixel center of structured light stripe with Hessian matrix is proposed.

提出了一种基于hessian矩阵的亚像素精度结构光条纹中心提取算法.

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This method include 3 D Euclidean distance transform, computer the Hessian matrix in every voxel, and visibility test.

主要步骤包括:三维欧几里德距离变换, 求Hessian矩阵, 可视化检测几个步骤.

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The Hessian matrix of this class PMs is established.

并推导这类机构的Hessian矩阵。

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In this paper, a new centerline extraction algorithm based on Hessian Matrix is proposed.

提出了一种基于Hessian矩阵的中心路径提取算法.

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The author discussed a sort of the fully nonlinear second order elliptic equations about the function of eigenvalues of Hessian matrix. Finally, as an application, the Dirichlet problem of spacelike hypersurfaces with prescribed function of principal curvatures in n-Minkowski space is established and solved.

讨论了与Hessian阵本征值函数有关的非线性椭圆型方程.作为应用，对n维Minkowski空间中预定主曲率对称多项式的类空超曲面方程的Dirichlet型问题给出了解的存在性。

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The Hessian matrix of the objective function is derived and analyzed to prove the global convexity of the LMF.

通过Hessian矩阵对LMF目标函数的凸性分析，证明这种检测准则拥有全局收敛的特性。

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