【摘要】 分块矩阵的二次数值值域有助于无穷矩阵谱的局部化研究。通过对一类上三角矩阵的不同顺序分块矩阵的二次数值值域的讨论,给出了不同的两个顺序分块矩阵的二次数值值域包含关系的条件以及相等的充要条件。更多还原

【Abstract】 The quadratic numerical range of a partitioned matrix is helpful to discuss the location of the spectrum of the partitioned matrix.The conditions of quadratic numerical ranges set inclusion relation on the partitioned matrix of certain upper triangular matrix are given and the sufficient and necessary condition of equity on quadratic numerical range of different partitioned matrix of upper triangular matrix is also discussed.更多还原