positive definiteness: xAx>0forallnonzerovectorsx.It is rather difficult to determine whether a matrix is positive definite. Fortunately, there are more easily verified criteria for identifying members of this
To obtain inequalities for the positive definiteness including the coupling term, a diagonalization in terms of block matrices is given, such that the potential energy density is obtained in an uncoupled quadratic form of a modified strain and the second gradient of displacement. Using orthonormal ...
Besides, it is difficult to check positive definiteness for a large matrix, but usually not for the small ones. See Chapter 8 for an important example. (2) A symmetric positive definite matrix has n eigenvalues which are all real positive numbers. (3) The determinant of a symmetric positive...
美 英 un.正定性 英汉 网络释义 un. 1. 正定性
The methods outlined here might give different results for the same matrix. Since both calculations involve round-off errors, each algorithm checks the definiteness of a matrix that is slightly different from A. In practice, the use of a tolerance is a more robust comparison method, since eigenv...
The methods outlined here might give different results for the same matrix. Since both calculations involve round-off errors, each algorithm checks the definiteness of a matrix that is slightly different fromA. In practice, the use of a tolerance is a more robust comparison method, since eigenval...
We begin by reviewing the kinematics and basic properties of six-point functions and their conformal block expansions in subsection 2.1. An associated crossing equation is then spelled out in –4– subsection 2.2 and it is analysed by rewriting it in terms of an infinite matrix whose rows and ...
definiteness requirement for the covariance matrix in the Markowitz model will still carry over to the Hessian matrix here. For example, the Swiss Solvency Test and European Union’s Solvency II stipulate the minimal levels of financial resources that individual insurers must maintain, as safeguards ...
The goal of this paper is to improve Rump's method using grouped block matrix computations. We first show that upper bounds of the residual of Cholesky decomposition can be reduced by block computations. Based on the new bounds, positive definiteness can be verified for a wide range of ...
The definition of theextended sub metapositive definiteness matrixand n×n real matrix meta Volterra multiplicator are given. 推广了亚次正定矩阵的概念 ,即广义亚次正定矩阵和实方阵的次Volterra乘子的概念 ,讨论并给出了广义亚次正定矩阵的一些基本性质及实方阵存在次Volterra乘子的条件。