讨论反对称矩阵及其平方矩阵偏序之间的关系,推广关于(半)正定矩阵的相应结果.The relation between the star partial ordering of the antisymmetric matrices and its squares is discussed. The related results of the definite positive matrices are extended.广西科学基金资助项目(0575032,0640016);广西教育厅科研项目(桂教科研[2005]47号);广西高校百名中青年学科带头人资助计划;广西民族大学重大科研项
AbstractIn this note we revisit the sharp partial order introduced by Mitra [S.K. Mitra, On group in...
AbstractThe result of Hartwig and Styan (1986), stating that matrices A and B are star-ordered if an...
Recently Baksalary and Pukelsheim (1990) investigated partial orderings of non-negative definite mat...
研究矩阵的奇异值偏序,给出了矩阵的奇异值偏序的等价刻画和性质,指出了相关文献关于矩阵*序刻画不真,利用强同时奇异值分解给出了矩阵*-序的刻画.The characterizations of valu...
讨论自共轭四元数矩阵及其平方矩阵的左(右)-*序之间的关系,推广了自共轭四元数正定矩阵的相关结果.The relation between the partial ordering of the se...
本文利用正规矩阵对的奇异值分解,研究正规矩阵及其平方矩阵的星型序和减序之间的关系,给出了正规矩阵及其平方矩阵的星型序等价和减序等价的充要条件,并得到了一般矩阵及其平方矩阵的星型序的一些关系。推广了关于...
AbstractTheorem 3 of Baksalary and Pukelsheim [Linear Algebra Appl. 151 (1991) 135] asserts that if ...
AbstractBaksalary and Pukelsheim [Linear Algebra Appl. 151 (1991) 135] considered the problem of how...
指出“矩阵的泛正定性与广义逆偏序”一文的一些错误,利用矩阵的同时合同变换给出了矩阵偏序的若干刻画.Some false statements in the paper "on the universa...
Two partial orderings in the set of complex matrices are introduced by combining each of the conditi...
Some characterizations of the left-star, right-star, and star partial orderings between matrices of ...
AbstractTwo partial orderings in the set of complex matrices are introduced by combining each of the...
AbstractThe matrix partial orderings considered are: (1) the star ordering and (2) the minus orderin...
AbstractCertain classes of matrices are indicated for which the star, left-star, right-star, and min...
AbstractA new partial ordering defined on the set of rectangular matrices is investigated. Its chara...
AbstractIn this note we revisit the sharp partial order introduced by Mitra [S.K. Mitra, On group in...
AbstractThe result of Hartwig and Styan (1986), stating that matrices A and B are star-ordered if an...
Recently Baksalary and Pukelsheim (1990) investigated partial orderings of non-negative definite mat...
研究矩阵的奇异值偏序,给出了矩阵的奇异值偏序的等价刻画和性质,指出了相关文献关于矩阵*序刻画不真,利用强同时奇异值分解给出了矩阵*-序的刻画.The characterizations of valu...
讨论自共轭四元数矩阵及其平方矩阵的左(右)-*序之间的关系,推广了自共轭四元数正定矩阵的相关结果.The relation between the partial ordering of the se...
本文利用正规矩阵对的奇异值分解,研究正规矩阵及其平方矩阵的星型序和减序之间的关系,给出了正规矩阵及其平方矩阵的星型序等价和减序等价的充要条件,并得到了一般矩阵及其平方矩阵的星型序的一些关系。推广了关于...
AbstractTheorem 3 of Baksalary and Pukelsheim [Linear Algebra Appl. 151 (1991) 135] asserts that if ...
AbstractBaksalary and Pukelsheim [Linear Algebra Appl. 151 (1991) 135] considered the problem of how...
指出“矩阵的泛正定性与广义逆偏序”一文的一些错误,利用矩阵的同时合同变换给出了矩阵偏序的若干刻画.Some false statements in the paper "on the universa...
Two partial orderings in the set of complex matrices are introduced by combining each of the conditi...
Some characterizations of the left-star, right-star, and star partial orderings between matrices of ...
AbstractTwo partial orderings in the set of complex matrices are introduced by combining each of the...
AbstractThe matrix partial orderings considered are: (1) the star ordering and (2) the minus orderin...
AbstractCertain classes of matrices are indicated for which the star, left-star, right-star, and min...
AbstractA new partial ordering defined on the set of rectangular matrices is investigated. Its chara...
AbstractIn this note we revisit the sharp partial order introduced by Mitra [S.K. Mitra, On group in...
AbstractThe result of Hartwig and Styan (1986), stating that matrices A and B are star-ordered if an...
Recently Baksalary and Pukelsheim (1990) investigated partial orderings of non-negative definite mat...