Starting from the basic equations of static condensation , the algorithm is available to calculate the rotational response in accordance to structural displacement data by solving the generalized inverse matrix 该算法从静力凝聚的基本方程出发，求解广义逆矩阵，由结构的位移测量信息计算结构的转角信息。
The aim of this paper is to study the applications of grobner bases in finding the minimal polynomial of a given matrix and its inverse if it is nonsingular and to discuss selfdualities over a polynomial ring ) bner基理论在求矩阵极小多项式，判定矩阵可逆性和求逆矩阵等方面的应用，并讨论了多项式环的分次自对偶问题。
This matrix takes into account all the couplings , un - uniformed amplitude and phase between the channels . this matrix is called the gain matrix or simply g - matrix . however , to measure the g - matrix is not an easy job 这种方法通过测量系统的响应函数( g矩阵)完全描述真实系统的响应，再用数值方法求g矩阵的逆矩阵来反演图像。
Algorithms for the minimal polynomial and the inverse of a given block symmetric circulant matrix over a group algebra of a finite group over a field are presented . and a method of determining singularity of this block symmetric circulant matrix is given ?给出了求域上有限群的群代数上的块循环矩阵的极小多项式的算法，西安电子科技大学博士学位论文:多项式代数及其应用奇异性判别法及其逆矩阵的求法
To transform our coordinates back to world space , we will need an " inverse matrix " of our view matrix - that is , a matrix that does the reverse of the view matrix , and thus given a coordinate that has been multiplied by the view matrix , will return the original coordinate 将坐标转换到空间世界，我们将需要视窗矩阵的一个逆矩阵?就是视窗矩阵的倒转过来的矩阵，并假定一个被视窗矩阵放大几倍的坐标轴将会返回原坐标。
A sufficient and necessary condition for determining singularity of a block circulant matrix over a quaternion division algebra over a field is given , and two algorithms for the inverse of a nonsingular block circulant matrix over the quaternion division algebra are presented ?给出了域上的块循环矩阵可逆性的充要条件及其逆矩阵的算法。 ?给出了四元素可除代数上的块循环矩阵可逆性的充要条件及其逆矩阵的两种算法。
The other are a hybrid preconditioning strategy , in which a simple pivoting preconditioner is used in combination with the standard inverse - midpoint method and a new scheme for selecting the real point in formulating interval newton equation 使用混合预处理和优化实数向量：所谓混合预处理，就是联合了标准中点逆矩阵预处理和中枢预处理。优化实数向量就是选择合适的实数向量来缩小线性区间等式的解向量n ( x )所包括的范围。
The definition of a mixed block matrix is given , and an algorithm for the inverse of a given mixed block matrix over a group algebra of a finite group over a field is presented , and a method of determining singularity of this mixed block matrix is given ?给出了域上有限群的群代数上的块对称循环矩阵的奇异性判别法及其逆矩阵求法. ，定义了域上有限群的群代数上的混合块矩阵，并给出了它的可逆性的判别法及其逆矩阵的求法
However , there are two main disadvantages to image - based visual serving : 1 ) it is necessary to relate differential changes in the image feature parameters to differential changes in position of the manipulator . so it is necessary to compute inverse feature jacobian ( j ) 其主要缺点有两点： 1 )为了求得图像特征参数的变化同机器人位姿变化的关系，基于图像的视觉伺服方法必需计算图像雅可比矩阵j ( imagejacobianmatrix )及其逆矩阵。
This paper applies generalized multipler method to translate convex quadratic programs with equal constraints and non - negative constraints into simple convex quadratic programs with non - negative constraints . the new algorithm is gotten by solving the simple quadratic program . it avoids the computation of inverse matrix and exploits sparsity structure in the matrix of the quadratic form . the results of numerical experiments show the effectiveness of the algorithm on large scale problems 根据广义乘子法的思想，将具有等式约束和非负约束的凸二次规划问题转化为只有非负约束的简单凸二次规划，通过解简单凸二次规划来得到解等式约束和非负约束的凸二次规划新算法，新算法不用求逆矩阵，这样可充分保持矩阵的稀疏性，用来解大规模稀疏问题.数值结果表明：在微机486 / 33上就能解较大规模的凸二次规划
