关于两类特殊压缩矩阵的性质  

Properties of two special compression matrix

作　　者：崔姝姝 任芳国[1] CUI Shu-shu;REN Fang-guo(College of Mathematics and Information Science,Shaanxi Normal University,Xian 710062,Shaanxi,China)

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《宝鸡文理学院学报（自然科学版）》2020年第2期1-5,共5页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11471200)。

摘　　要：目的研究双随机矩阵的相关性质和部分等距矩阵的等价刻画。方法通过双随机矩阵的置换分解、压缩矩阵的Schur分解及矩阵Hartwig-Spindelbock分解进行研究。结果在特定条件下,获得双随机矩阵的若干性质和部分等距矩阵的进一步等价刻画。结论方便今后对于特殊矩阵、矩阵平行和、矩阵偏序及矩阵格的进一步研究。Purposes—To study the correlation properties of the doubly-stochastic matrix and the equivalent characterization of partially-isometric matrix. Methods—In-depth research was conducted through permutation decomposition of the doubly-stochastic matrix, Schur decomposition of compressed matrix, and Hartwig-Spindelbock decomposition. Result—Some properties of the doubly-stochastic matrices and the further equivalent characterization of partially-isometric matrix were obtained under certain conditions. Conclusion—It is convenient for further research on special matrix, parallel sum of matrix, partial order of matrix and matrix lattice.

关 键 词：压缩矩阵 双随机矩阵 部分等距 双随机矩阵的置换分解 压缩矩阵的Schur分解 Hartwig-Spindelbock分解 

分 类 号：O151.21[理学—数学]