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中文摘要：
针对由Galerkin有限元离散椭圆PDE-约束优化问题产生的具有特殊结构的3×3块线性鞍点系统，提出了一个预条件子并给出了预处理矩阵特征值及特征向量的具体表达形式．数值结果表明了该预条件子能够有效地加速Krylov子空间方法的收敛速率，同时也验证了理论结果．
英文摘要：
For the special 3-by-3 block linear equations arising from the Galerkin finite element discretizations of elliptic PDE-constrained optimization problems, a preconditioner is proposed and the explicit expressions for the eigenvalues and eigenvectors of the corresponding preconditioned matrix are derived. Numerical results show that the preconditioner is effec- tively used to accelerate the convergence rate of Krylov subspace methods and match well with the theoretical results as well.
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