Toeplitz P-阵的完成问题  

Toeplitz P-matrix Completion Problem

作　　者：何明[1] 卢琳璋[1] 

机构地区：[1]厦门大学数学科学学院,福建厦门361005

出　　处：《厦门大学学报（自然科学版）》2005年第4期450-452,共3页Journal of Xiamen University：Natural Science

基　　金：国家自然科学基金(10271099)资助

摘　　要：部分阵的完成问题有着广泛的应用背景,本文从研究行列式符号的角度出发,主要讨论了P-阵的完成问题,指出三阶的部分位置对称Toep litz P-阵都有相应完成,给出了四阶Toep litz P-阵有相应完成的充分条件,在此基础上给出了n×n部分位置对称Toep litz P-阵有相应完成的一些模式.For a class of real Toeplitz P-matrix,a list of positions in an n-by-n matrix (a pattern)is said to have Toeplitz P-matrix completion if every partial Toeplitz P-matrix that specifies exactly these positions can be completed to a Toeplitz P-matrix.It was discussed that the partial position symmetric Toeplitz p-matrix of order 3 have corresponding completion and the partial position symmetric Toeplitz P-matrix of order 4 have completion under certain condition.Some sufficient conditions that guarantee an n-by-n partial position symmetric Toeplitz P-matrix has completion were given.

关 键 词：TOEPLITZ 充分条件 行列式 对称 三阶 四阶 

分 类 号：O157.5[理学—数学] TN911.72[理学—基础数学]