AbstractLet L and M be any complementary subspaces. In this article, two relations established by T.N.E. Greville between the projector PL|M on L along M and the orthogonal projectors on L and M are generalized by admitting any Λ-orthogonal projectors, with Λ being a positive definite matrix. Also, two representations of Λ are found for which, given L and M, Λ-orthogonal projectors on L become identical with PL|M
AbstractThe definition of a projector under a seminorm is given. Such a projector is not unique. Ope...
We provide a full characterization of the oblique projector U(VU) †V in the general case where the r...
The definition of a projector under a seminorm is given. Such a projector is not unique. Operators p...
AbstractLet L and M be any complementary subspaces. In this article, two relations established by T....
AbstractIt is shown that if P1 and P2 are orthogonal projectors, then a product having P1 and P2 as ...
Abstract For any n × p matrix X and n × n nonnegative definite matrix V, the matrix X(X′VX)+X′V is c...
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...
AbstractGeneralizing the result in Lemma of Baksalary and Baksalary [J.K. Baksalary, O.M. Baksalary,...
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 ...
AbstractIn this paper we introduce a canonical form to represent the product of two orthogonal proje...
Sum and intersection of linear subspaces in a vector space over a field are fundamental operations i...
We extend generalized projectors (introduced by Groß and Trenkler in [Linear Algebra Appl. (1997) 26...
Although the concept of angles between general subspaces may be too advanced for an under-graduate l...
AbstractThe definition of a projector under a seminorm is given. Such a projector is not unique. Ope...
We provide a full characterization of the oblique projector U(VU) †V in the general case where the r...
The definition of a projector under a seminorm is given. Such a projector is not unique. Operators p...
AbstractLet L and M be any complementary subspaces. In this article, two relations established by T....
AbstractIt is shown that if P1 and P2 are orthogonal projectors, then a product having P1 and P2 as ...
Abstract For any n × p matrix X and n × n nonnegative definite matrix V, the matrix X(X′VX)+X′V is c...
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...
AbstractGeneralizing the result in Lemma of Baksalary and Baksalary [J.K. Baksalary, O.M. Baksalary,...
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 ...
AbstractIn this paper we introduce a canonical form to represent the product of two orthogonal proje...
Sum and intersection of linear subspaces in a vector space over a field are fundamental operations i...
We extend generalized projectors (introduced by Groß and Trenkler in [Linear Algebra Appl. (1997) 26...
Although the concept of angles between general subspaces may be too advanced for an under-graduate l...
AbstractThe definition of a projector under a seminorm is given. Such a projector is not unique. Ope...
We provide a full characterization of the oblique projector U(VU) †V in the general case where the r...
The definition of a projector under a seminorm is given. Such a projector is not unique. Operators p...
DOI
Add to ORKG