论文标题
某些分段线性求解器的收敛结果
Convergence results for some piecewise linear solvers
论文作者
论文摘要
令$ a $为真正的$ n \ times n $矩阵和$ z,b \ in \ mathbb r^n $。分段线性方程系统$ z-a \ vert z \ vert = b $称为\ textit {绝对值方程}。我们考虑了两个解决方案,一个直接,一个半词,并扩展了他们以前已知的收敛范围。
Let $A$ be a real $n\times n$ matrix and $z,b\in \mathbb R^n$. The piecewise linear equation system $z-A\vert z\vert = b$ is called an \textit{absolute value equation}. We consider two solvers for this problem, one direct, one semi-iterative, and extend their previously known ranges of convergence.