positive definite function 中文意思是什麼
positive definite function
解釋
正定函數-
Irreducible positive definite function on unimodular group and its applications
幺模群上的不可分解正定函數及其應用 -
We make the following assumption for when 2 is positive definite matrix, different estimators about matrix of regression coefficients and inefficiency of least squares estimate have been discussed in many documents. considered 2 is nonnegative definite matrix, this thesis derives best linear unbiased estimate of parameter matrix b and estimable parameter function kbl under the meaning of matrix nonnegative definite and the property of maximum probability of blue is investigated. next, we discuss some necessary and sufficient conditions of the equality of the lse and blue, then we derive the estimation of the deviation bet - ween the least squares and the best linear unbias estimators of the mean matrix, meanwhile a relative efficiency of lse ofb is proposed and its bound is given
當0時，眾多文獻討論了回歸系數陣的各種估計及lse的有效性，本文考慮了當0的情形，給出了回歸系數陣b及其可估參數函數kbl的在矩陣非負定意義下的最優估計（ blue ） ，研究了它的一個最大概率性質，並且討論了最小二乘估計成為最佳線性無偏估計的充分必要條件，在此基礎上給出了均值矩陣的最小二乘估計與blue的偏差估計，定義了lse相對于blue的一個相對效率，並給出了它的界。 -
For the given sample points, and matrix formed by covariance function with sample points as parameters, when the number of sample points approaches infinite, it is proven that this matrix spectrum will approach the spectral approach theorem for positive - definite kernel of integral equation
對給定的樣本點，由樣本點為變量的協方差函數構成的矩陣，當樣本點個數趨于無窮大時，證明此矩陣譜逼近於積分方程正定核的譜逼近定理。 -
We proof the covariance function of covariance stationary processes is equivalent with mercer kernel function. that is, the covariance function of covariance stationary processes is a mercer kernel function ; in reverse, for a given mercer kernel function, there exists a covariance stationary processes, and the covariance function corresponded to this covariance stationary processes is the given symmetry positive - definite kernel function. it means that the covariance function is equivalent to symmetry positive - definite kernel function
首先建立了協方差平穩過程的協方差函數與積分方程中對稱正定mercer核函數的等價關系，即協方差平穩過程的協方差函數是對稱正定mercer核函數，反過來，對給定的對稱正定核函數，證明了存在協方差平穩過程，使得此協方差平穩過程對應的協方差函數恰好為給定的對稱正定核函數，這說明協方差函數和對稱正定核函數是等價的。 -
A method of application positive definite matrix to distinguish minimax value of bidifferentiable function
一種用矩陣的正定性判別二階可微函數極值的方法 -
At first, the robust h control for uncertain nonlinear systems with norm bounded uncertainties is studied, based on a positive definite solution of hamilton - jacobi - issacs inequality ( hji ), a sufficient condition is given such that the closed loop system is asymptotically stable and its l2 - gain is less than or equal to a prescribed value. using this condition state feedback control law and an output feedback control law which ensured robust hx performance of the closed - loop system are derived. due to the difficulty to solve hji, a method is proposed which do not require solving it by using an appropriate lyapunov function
首先，研究了范數有界型不確定非線性系統魯棒h _控制問題，基於hamilton - jacobi - issacs不等式（ hji ） ，給出了閉環系統漸近穩定且l _ 2 -增益有限的狀態反饋和輸出反饋設計演算法。考慮求解hji的困難性，針對不確定非線性系統，通過適當地選擇lyapunov函數，提出了求解非線性系統魯棒h _控制問題的演算法，可以避免求解hji 。 -
In an sqp method, it is important to keep the hessian of the objective function in qp problem to be positive definite
在sqp演算法中，保證qp子問題的目標函數的hessian陣的正定性是非常重要的。 -
We prove the equivalent conditions of completely monotone function, we also discuss the relationship of positive definite function, semi - positive definite function and completely monotone function when the function take values in a commutitive von neumann algebras
我們證明了完全單調函數的幾個等價條件，並且討論了取值于交換vonneumann代數的正定函數，半正定函數及完全單調函數之間的關系。 -
For elastic reigistration of non - rig id body, after the thin - plate splines for image registration is analysed, the local elastic registration is presented, which usilizes a positive definite function with compact support as the radial basis function of interpolation
對于非剛性物體圖像的彈性配準，本文先分析了基於薄板樣條彈性配準方法，總結了其不足之處，通過採用一種緊支正定函數作為插值方法中的徑向基函數，實現了圖像的局部彈性配準。 -
The main difficulty for the global convergence of the structured bfgs method lies in that the matrices generated by the method may not be positive definite. as a consequent, the direction generated by the method may not be a descent direction of the objective function
建立具有全局收斂性的結構化擬newton法的一個主要困難是在於該演算法產生的矩陣不一定是正定的，從而產生的搜索方向不一定是目標函數的下降方向。
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