When there is nozero object in category , the generalized inverse of morphisms are studied through the equa - alizer , the necessary and sufficient conditions for generalized inverse is obtained , and the relation between the linear equation and the equalizer is presented in matrix category 当范畴不具有零对象时,以态射偶的等化子为工具讨论态射的广义逆,并在矩阵范畴中建立了齐次线性方程组的解与等化子的关系。
This paper mainly discusses the formulation and the numerical methods of real symmetrical matrix inverse algebraic eigenvalue . this includes normal and generalized inverse eigenvalue problem which includes the additive , multiplicative classical inverse eigenvalue problems as special cases 本文主要讨论含参变量的实对称矩阵特征值反问题数值解法。包括常义特征值反问题和广义征值反问题,这类问题包括加法和乘法经典代数特征值反问题。
Based on the equilibrium equation , the states of self - stress and the modes of inextensional mechanisms are solved by the singular value decomposition method . and the equilibrium equation can be solved by the generalized inverse method . the force density method is proposed 在建立空间杆件体系平衡方程的基础上,采用广义逆方法求解各种情况下的平衡方程,采用奇异值分解方法求解索杆的机构位移模态和自应力模态,并推导了力密度方法的基本公式。
There are all kinds of inverse eigenvalue and generalized inverse eigenvalue problems in the fields of structural design , vibration system , automation control and matrix decision etc . a compound inverse eigenvalue problem of jacobi matrix and some generalized inverse eigenvalue problems have been discussed in this paper 在结构设计、振动系统、自动控制、矩阵对策等领域中存在各种各样的矩阵逆特征值问题及广义逆特征值问题。本文研究了一类jacobi矩阵混合逆特征值问题及几类矩阵广义逆特征值问题。
In mathematics, a generalized inverse or pseudoinverse of a matrix A is a matrix that has some properties of the inverse matrix of A but not necessarily all of them. The term "the pseudoinverse" commonly means the Moore?Penrose pseudoinverse.