发布时间:2019-08-24
报告人:江兆林(临沂大学)
报告人简介:临沂大学sunbet中国官网党委书记、二级教授、博士生导师,曾任外国语学院院长、国际合作处处长、国际交流学院院长,理学院院长,sunbet中国官网院长,山东省中青年学术骨干,山东省教指委成员、美国数学会评论员、中国线性代数学会副秘书长、中国运筹学会线性规划分会理事。主要从事特殊矩阵的理论、算法及其应用、智能决策、图象处理、数值线代数等方面的研究工作,已在Sci China Math、Applied Mathematics and Computation、Linear Algebra and its Applications等50余种国内外学术期刊发表学术论文100余篇,其中SCI检索31篇,EI检索29篇,ISTP检索3篇, 出版专著《循环矩阵》一部,主编、主审高校教材10多部,主编、主审数学教育类读物8部。先后主持或参与了国家级、省级、省教委等课题17项,应邀出访过牛津大学、剑桥大学、哈佛大学、斯坦福大学、东京大学等10个国家/地区的60多所大学。
报告题一:Norm estimates of three circulant operator matrices
报告题一摘要:In this talk, the norm estimates of blockω-circulant operator matrices, block R circulant operator matrices, block left circulant operator matrices are discusssed. Using the special structures of these matrices and weak unitarily invariant norm, we structure a series of unitary matrices to consider norm equalities and norm inequalities for these special circulant operator matrices.
报告时间: 2019年8月27日上午9:00
报告地点:科技楼南楼811室
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报告题二:Gohberg-Semencul type formulas for inverses and generalized inverses of a CUPL-Toeplitz matrix
报告题二摘要:In this talk, the inverses and generalized inverses of a CUPL-Toeplitz matrix are con-sidered. The ideas of recurrence and similarity transformation are employed to develop the Gohberg-Semencul type decomposition formulas for the inverses and generalized inverses of a CUPL-Toeplitz matrix. In addition, the error analysis of the decompo- sition formulas are given by the 1-norm,∞-norm and 2-norm, respectively. Final- ly, algorithms for the inverses and generalized inverses and their decomposition of a CUPL-Toeplitz matrix are proposed. In fact, a special Markov chain of GI/M/l type is a CUPL-Toeplitz matrix.
报告时间: 2019年8月27日上午10:30
报告地点:科技楼南楼811室
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报告题三:Inversion and generalized inversion of conjugate-Toeplitz matrices and conjugate-Hankel matrices
报告题三摘要:In this talk, the inverses and generalized inversion of conjugate-Toeplitz (CT) and conjugate-Hankel (CH) matrices can be expressed by the Gohberg-Heinig type formula. We obtain an explicit inverse and generalized inversion formulas of conjugate-Toeplitz matrix. Similarly, the formula and the decomposition of the inverse and generalized inversion of a conjugate-Hankel matrix are provided. Also the stability of the inverse and generalized inversion formulas of CT and CH matrices are discussed. Examples are provided to verify the feasibility of the algorithms.
报告时间: 2019年8月27日下午3:00
报告地点:科技楼南楼811室
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报告题四:Nice explicit inverse matrices of some special matrices involving famous numbers
报告题四摘要:In this talk, explicit determinants and inverses of the special matrices involving famous numbers are given by use of the ideal special transformation matrices, good properties of the famous numbers, and Schur complements.
报告时间: 2019年8月27日下午4:30
报告地点:科技楼南楼811室