An Oblique Matrix Pseudoinverse

DOI10.1137/0116075zbMath0167.30304OpenAlexW2058428917MaRDI QIDQ5554419

Ronald D. Milne

Publication date: 1968

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0116075

zbMATH Keywords

generalized inverseMoore-Penrose inverserectangular matrixsingular matrixoblique pseudoinverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (14)

Characterization of the oblique projector \(U(VU)^{\dagger}V\) with application to constrained least squares ⋮ Computational methods of linear algebra ⋮ Das verallgemeinerte Inverse eines linearen Operators in Vektorräumen mit nicht ausgearteter Hermitescher Metrik über einenm kommutativen Körper. ⋮ Existence and uniqueness of weighted normal pseudosolutions ⋮ GENERAL FRAMEWORK FOR CONSISTENT SAMPLING IN HILBERT SPACES ⋮ A weighted pseudoinverse for complex matrices ⋮ Representations and expansions of weighted pseudoinverse matrices, iterative methods, and problem regularization. I. positive definite weights ⋮ GENERAL FRAMEWORK FOR CONSISTENT SAMPLING IN HILBERT SPACES ⋮ Weighted pseudoinversion with indefinite weights ⋮ Expansions of weighted pseudoinverses with mixed weights into matrix power series and power products ⋮ Weighted Generalized Inverses, Oblique Projections, and Least-Squares Problems ⋮ Iterative methods to calculate weighted pseudoinverses with mixed weights ⋮ Generalized inverses of matrices: a perspective of the work of Penrose ⋮ Semi-inverses, reflexive semi-inverses and pseudoinverses of an arbitrary linear transformation

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