基于凹函数的酉不变范数不等式改进OA
Refinements of Unitarily Invariant Norm Inequalities via Concave Functions
构造特殊的半正定分块矩阵,利用矩阵的奇异值不等式,借助凹函数非负递增的性质得到了两个改进的酉不变范数不等式.所得结果将 Kittaneh与 Matharu不等式中的上界2|f(A+B/2)改进为更紧的上界|f(A+B)|,并构建了包含中间项|f(A+B)|的不等式链.
By constructing a special semi-definite block matrix and using the singular value inequality of matrix,two refined unitarily invariant norm inequalities were obtained with the help of the nonnegative increasing property of concave function.The obtained results improve the upper bound from 2|f(A+B/2)alue inequ in Kittaneh and Matharu's inequality to the tight bound|f(A+B)|,and an inequality chain containing the intermediate term|f(A+B)|was established.
彭晨光;吕康乐;张云
淮北师范大学数学与统计学院,淮北 235000淮北师范大学数学与统计学院,淮北 235000淮北师范大学数学与统计学院,淮北 235000
数理科学
半正定分块矩阵非负凹函数酉不变范数奇异值不等式不等式链
positive semi-definite block matrixnonnegative concave functionunitarily in-variant normsingular value inequalitiesinequality chain
《青岛大学学报（自然科学版）》 2026 (1)
6-10,27,6
安徽高校自然科学研究重大项目(批准号:KJ2021ZD0058)资助安徽省自然科学基金(批准号:1708085QA05)资助安徽省高校科研项目(批准号:2024AH051678)资助淮北师范大学研究生创新基金(批准号:CX2023046)资助淮北师范大学经费拓展研究项目(批准号:2023ZK035)资助.
评论