王艺宏, 李耀堂

云南大学数学与统计学院, 昆明 650091

收稿日期:2020-01-18出版日期:2021-11-14发布日期:2021-11-12


基金资助:国家自然科学基金（11861077）资助.

A ULM-TYPE ALGORITHM BASED ON MATRIX EQUATION FOR A CLASS OF INVERSE EIGENVALUE PROBLEMS (IEP)

Wang Yihong, Li Yaotang

School of Mathematics and Statistics, Yunnan University, Kunming 650091, China

Received:2020-01-18Online:2021-11-14Published:2021-11-12







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应用求解算子方程的Ulm方法构造了求解一类矩阵特征值反问题（IEP）的新算法.所给算法避免了文献[Aishima K.，A quadratically convergent algorithm based on matrix equations for inverse eigenvalue problems，Linear Algebra and its Applications，2018，542：310-33]中算法在每次迭代中要求解一个线性方程组的不足，证明了在给定谱数据互不相同的条件下所给算法具有根收敛意义下的二次收敛性.数值实验表明本文所给算法在矩阵阶数较大时计算效果优于上文所给算法.
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