31 research outputs found

    On the Entries of Orthogonal Projection Matrices

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    Two relations between oblique and Λ-orthogonal projectors

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    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

    The matrix equation AX − YB = C

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