Convergence of generalized inverses and spline projectors

DOI10.1016/0021-9045(83)90133-8zbMath0519.41016OpenAlexW1974496632MaRDI QIDQ1054925

Saichi Izumino

Publication date: 1983

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90133-8

zbMATH Keywords

Hilbert spacegeneralized inversespline interpolantabstract splinespline projector

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Spline approximation (41A15)

Related Items

A Lipschitz stable reconstruction formula for the inverse problem for the wave equation, Staticization and Iterated Staticization, Recovery of a Smooth Metric via Wave Field and Coordinate Transformation Reconstruction, Convergence of approximate splines via pseudo-inverses, Equivalent metrics on normal composition operators, Stability for Time-Domain Elastic Wave Equations, Estimation of functional ARMA models, On the continuity of the group inverse in \(C^*\)-algebras, On Ad-Nonprojection Method for Stable Approximation to Infinite-Dimensional Moore–Penrose Inverse, Projections in operator ranges, Saddle point problems, Bott-Duffin inverses, abstract splines and oblique projections, Global solutions of approximation problems in Hilbert spaces, Generalization of Lax equivalence theorem on unbounded self-adjoint operators with applications to Schrödinger operators, Generalized inverse method for subspace maps, Generalized inverses of Toeplitz operators and inverse approximation in \(H^ 2\), Oblique projections and abstract splines., A weighted Drazin inverse and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal approximation and its method of least squares
• Convergence of abstract splines
• The product of operators with closed range and an extension of the reverse order law
• Unconditional convergence of abstract splines
• Inner, outer, and generalized inverses in banach and hilbert spaces
• Generalized inverses and generalized splines
• On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
• Splines and pseudo-inverses
• Perturbation theory for pseudo-inverses