Optimal numerical approximation of a linear operator

DOI10.1016/0024-3795(83)80045-7zbMath0536.65033OpenAlexW2094029147MaRDI QIDQ792068

Hans F. Weinberger

Publication date: 1983

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/1610

zbMATH Keywords

Hilbert spaceoptimal approximationlinear interpolationlinear informationconcepts of optimality

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

• An extremal problem for extensions of a sesquilinear form
• On a quotient norm and the Sz.-Nagy-Foias lifting theorem
• On Optimal Numerical Solution of Partial Differential Equations
• Norm-Preserving Dilations and Their Applications to Optimal Error Bounds
• Best Approximation of Linear Operators in Hilbert Spaces
• Galerkin Approximations and the Optimization of Difference Schemes for Boundary Value Problems
• Optimal Difference Schemes for Linear Initial Value Problems
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