Further relationships between certain partial orders of matrices and their squares.

DOI10.1016/S0024-3795(03)00605-0zbMath1048.15017MaRDI QIDQ1414705

Xiaoji Liu, Jerzy K. Baksalary, Oskar Maria Baksalary

Publication date: 4 December 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

EP matrixmatrix partial orderingstar orderingcommutativity of matricesleft-star orderingmatrix of index 1

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (5)

Some new results on the core partial order ⋮ The star partial order and the eigenprojection at 0 on EP matrices ⋮ On a partial order defined by the weighted Moore-Penrose inverse ⋮ Remarks on the sharp partial order and the ordering of squares of matrices ⋮ Some results on partial ordering and reverse order law of elements of \(C^{*}\)-algebras

Cites Work

• Unnamed Item
• Left-star and right-star partial orderings
• On some characterizations of the star partial ordering for matrices and rank subtractivity
• On the Löwner, minus, and star partial orderings of nonnegative definite matrices and their squares
• Further properties of the star, left-star, right-star, and minus partial orderings.
• Relationships between partial orders of matrices and their powers.
• The natural partial order on a regular semigroup
• Natural structures on semigroups with involution

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