摘要
一、引 论核柱形结构在工程中是常见的,它的求解方法有很大的实际意义也很有理论价值。
The algebraic Riccati equations are derived by the limiting process of the semi-analyticalmethod reduced transversely discretized model of the partial differential equation via the va-riational principle. The close relation of that model with the equations in the linear quadraticoptimal control is pointed out. The dual vector is introduced and the physical interpretationfor the positive definite matrix solution of the Riccati equations is given on that basis. Thecanonical transformation matrix is constructed with the solution of the algebraic Riccati equa-tions, then the Hamiltonian matrix is block-diagonalized and the size of the eigenvalue equa-tion is reduced to half of the original one. It is only necessary to solve one of the two equations,the other one can be obtained by some elementary matrix algebraic operations. That gives thefoundation for the eigenvector expansion method in solving differential equations.
出处
《数值计算与计算机应用》
CSCD
北大核心
1992年第2期107-118,共12页
Journal on Numerical Methods and Computer Applications
