LIE-TROTTER FORMULA FOR THE HADAMARD PRODUCT

• 作 者: 王静 李永刚 孙华飞
• 机 构: SchoolofInformation,CollegeofScience,SchoolofMathematicsandStatistics,BeijingKeyLaboratoryonMCAACI
• 出 处: 数学物理学报:B辑英文版
• 发表日期: 2020年3期
• 关键词: Lie-Trotter formula reciprocal Lie-Trotter formula Hadamard product positive-def
• 基金项目: H.Sun is supported by NSFC(61179031),J.Wang is supported by General Project of Science and Technology Plan of Beijing Municipal Education Commission(KM202010037003).

Suppose that A and B are two positive-definite matrices,then,the limit of(A^p/2B^pA^p/2)1/p as p tends to 0 can be obtained by the well known Lie-Trotter formula.In this article,we generalize the usual product of matrices to the Hadamard product denoted a