AbstractThe Loewner partial ordering between nonnegative definite matrices M and B∗MB is considered. The main result obtained generalizes a number of results known in the literature. The rank subtractivity partial ordering and the Drazin partial ordering between M and B∗MB are also discussed
Some characterizations of the left-star, right-star, and star partial orderings between matrices of ...
AbstractLet Mn be the space of all n×n matrices with coefficients in R or C, where n⩾3. The rank sub...
AbstractThe matrix partial orderings considered are: (1) the star ordering and (2) the minus orderin...
AbstractBaksalary and Pukelsheim [Linear Algebra Appl. 151 (1991) 135] considered the problem of how...
AbstractFor any real nonnegative definite matrices M1 and M2 several necessary and sufficient condit...
AbstractBaksalary and Pukelsheim (1990) investigated partial orderings of nonnegative definite matri...
We investigate how the ordering of two Hermitian nonnegative definite matrices A and B relates to th...
The partial ordering induced by the Loewner partial ordering on the convex cone comprising all matri...
Recently Baksalary and Pukelsheim (1990) investigated partial orderings of non-negative definite mat...
AbstractSome well-known matrix partial orderings can be created by supplementing the so called rank-...
AbstractA new partial ordering defined on the set of rectangular matrices is investigated. Its chara...
AbstractSome well-known matrix partial orderings can be created by supplementing the so called rank-...
AbstractSome new results on the Löwner partial ordering between certain sums, products, and direct p...
AbstractSeveral inequalities relating the rank of a positive semidefinite matrix with the ranks of v...
Two matrices A and B of the same size are said to satisfy the minus partial ordering, denoted b
Some characterizations of the left-star, right-star, and star partial orderings between matrices of ...
AbstractLet Mn be the space of all n×n matrices with coefficients in R or C, where n⩾3. The rank sub...
AbstractThe matrix partial orderings considered are: (1) the star ordering and (2) the minus orderin...
AbstractBaksalary and Pukelsheim [Linear Algebra Appl. 151 (1991) 135] considered the problem of how...
AbstractFor any real nonnegative definite matrices M1 and M2 several necessary and sufficient condit...
AbstractBaksalary and Pukelsheim (1990) investigated partial orderings of nonnegative definite matri...
We investigate how the ordering of two Hermitian nonnegative definite matrices A and B relates to th...
The partial ordering induced by the Loewner partial ordering on the convex cone comprising all matri...
Recently Baksalary and Pukelsheim (1990) investigated partial orderings of non-negative definite mat...
AbstractSome well-known matrix partial orderings can be created by supplementing the so called rank-...
AbstractA new partial ordering defined on the set of rectangular matrices is investigated. Its chara...
AbstractSome well-known matrix partial orderings can be created by supplementing the so called rank-...
AbstractSome new results on the Löwner partial ordering between certain sums, products, and direct p...
AbstractSeveral inequalities relating the rank of a positive semidefinite matrix with the ranks of v...
Two matrices A and B of the same size are said to satisfy the minus partial ordering, denoted b
Some characterizations of the left-star, right-star, and star partial orderings between matrices of ...
AbstractLet Mn be the space of all n×n matrices with coefficients in R or C, where n⩾3. The rank sub...
AbstractThe matrix partial orderings considered are: (1) the star ordering and (2) the minus orderin...
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