摘要
本文给出了临界点的分类,并讨论了相应的数学、力学特性,根据分块矩阵理论,考虑结构矩阵的对称性,提出了求解增广矩阵A的M-P逆新方法,最后通过一算例,说明文中给出算法的正确性和实用性.
Classification of critical point is presented in the thesis,and their properties of mathematics and mechanics are discussed in detail.Based on the partitioned matrix theory,a new method to calculate M P inverse of argumented Matrix A is introduced with the symmetry of stiffness matrix considered.The characteristics of numerical analysis are studied for the generalized incremental method.An example is given,and this algorithm proves reasonable.
关键词
广义增量法
分块矩阵
M-P逆
generalized incremental method
Moore Penrose inverse
partitioned matrix
algorithm of numerical analysis.