AbstractIt is shown that if P1 and P2 are orthogonal projectors, then a product having P1 and P2 as its factors is equal to another such product if and only if P1 and P2 commute, in which case all products involving P1 and P2 reduce to the orthogonal projector P1P2. This is a generalization of a result by Baksalary and Baksalary [Linear Algebra Appl. 341 (2002) 129], with the proof based on a simple property of powers of Hermitian nonnegative definite matrices
Abstract For any n × p matrix X and n × n nonnegative definite matrix V, the matrix X(X′VX)+X′V is c...
AbstractThe concept of semi-orthogonality of two complex vectors is introduced. As a consequence, a ...
AbstractThe concept of semi-orthogonality of two complex vectors is introduced. As a consequence, a ...
AbstractGeneralizing the result in Lemma of Baksalary and Baksalary [J.K. Baksalary, O.M. Baksalary,...
AbstractIt is shown that if P1 and P2 are orthogonal projectors, then a product having P1 and P2 as ...
AbstractGeneralizing the result in Lemma of Baksalary and Baksalary [J.K. Baksalary, O.M. Baksalary,...
AbstractIt is known that necessary and sufficient conditions for the sum P1+P2 and the difference P1...
AbstractThe purpose of this paper is to revisit two problems discussed previously in the literature,...
AbstractIn this paper we introduce a canonical form to represent the product of two orthogonal proje...
AbstractIt is known that necessary and sufficient conditions for the sum P1+P2 and the difference P1...
AbstractLet L and M be any complementary subspaces. In this article, two relations established by T....
AbstractIn this paper we introduce a canonical form to represent the product of two orthogonal proje...
AbstractSeveral results involving a product of two orthogonal projectors (i.e., Hermitian idempotent...
AbstractLet L and M be any complementary subspaces. In this article, two relations established by T....
AbstractBaksalary and Baksalary [Linear Algebra Appl. 321 (2000) 3] established a complete solution ...
Abstract For any n × p matrix X and n × n nonnegative definite matrix V, the matrix X(X′VX)+X′V is c...
AbstractThe concept of semi-orthogonality of two complex vectors is introduced. As a consequence, a ...
AbstractThe concept of semi-orthogonality of two complex vectors is introduced. As a consequence, a ...
AbstractGeneralizing the result in Lemma of Baksalary and Baksalary [J.K. Baksalary, O.M. Baksalary,...
AbstractIt is shown that if P1 and P2 are orthogonal projectors, then a product having P1 and P2 as ...
AbstractGeneralizing the result in Lemma of Baksalary and Baksalary [J.K. Baksalary, O.M. Baksalary,...
AbstractIt is known that necessary and sufficient conditions for the sum P1+P2 and the difference P1...
AbstractThe purpose of this paper is to revisit two problems discussed previously in the literature,...
AbstractIn this paper we introduce a canonical form to represent the product of two orthogonal proje...
AbstractIt is known that necessary and sufficient conditions for the sum P1+P2 and the difference P1...
AbstractLet L and M be any complementary subspaces. In this article, two relations established by T....
AbstractIn this paper we introduce a canonical form to represent the product of two orthogonal proje...
AbstractSeveral results involving a product of two orthogonal projectors (i.e., Hermitian idempotent...
AbstractLet L and M be any complementary subspaces. In this article, two relations established by T....
AbstractBaksalary and Baksalary [Linear Algebra Appl. 321 (2000) 3] established a complete solution ...
Abstract For any n × p matrix X and n × n nonnegative definite matrix V, the matrix X(X′VX)+X′V is c...
AbstractThe concept of semi-orthogonality of two complex vectors is introduced. As a consequence, a ...
AbstractThe concept of semi-orthogonality of two complex vectors is introduced. As a consequence, a ...
DOI
Add to ORKG