On Interval Systems [x] = [A][x] + [b] and the Powers of Interval Matrices in Complex Interval Arithmetics
On Interval Systems [x] = [A][x] + [b] and the Powers of Interval Matrices in Complex Interval Arithmetics
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关于区间系统 [x] = [A][x] [b] 以及复区间算术中区间矩阵的幂
DOI：
10.1007/s11155-006-9032-3
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发表时间：
2007
影响因子：
--
通讯作者：
Hans
中科院分区：
文献类型：
--
作者：
Hans
对于定义为[x] = [A][x] + [B]的区间方程组，我们得到了解[x]存在的充要条件.进一步给出了[A]的幂收敛的充要条件.与以前的结果相反，我们处理复区间算术。
For the interval system of equations defined by [x] = [A][x] + [b] we derive necessary and sufficient criteria for the existence of solutions [x]. Furthermore we give necessary and sufficient criteria for the convergence of powers of [A]. In contrast to former results we treat complex interval arithmetics.